Entropy
The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Greven, Andreas - 1953- [herausgeberIn] Keller, Gerhard - 1954- [herausgeberIn] Warnecke, Gerald - 1956- [herausgeberIn] |
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| Format: |
E-Book |
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| Sprache: |
Englisch |
| Erschienen: |
Princeton Oxford: Princeton University Press ; 2003 © 2003 |
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| Rechteinformationen: |
Restricted Access |
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| Schlagwörter: | |
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| Schlagwörter: |
| Systematik: |
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| Umfang: |
1 Online-Ressource (xiv, 358 Seiten) ; Diagramme |
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| Weitere Ausgabe: |
Erscheint auch als Druck-Ausgabe: Entropy - Princeton : Princeton University Press, 2003 |
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| Reihe: |
Princeton series in applied mathematics |
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| Links: |
Link aufrufen |
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| ISBN: |
978-1-4008-6522-2 |
| DOI / URN: |
10.1515/9781400865222 |
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| Katalog-ID: |
818142510 |
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| 245 | 1 | 0 | |a Entropy |c Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) |
| 264 | 1 | |a Princeton |a Oxford |b Princeton University Press |c [2003] | |
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| 505 | 8 | 0 | |t FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction |r Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald |
| 505 | 8 | 0 | |t Chapter Two. Entropy: a Subtle Concept in Thermodynamics |r Müller, Ingo |
| 505 | 8 | 0 | |t Chapter Three. Probabilistic Aspects of Entropy |r Georgii, Hans-Otto |
| 505 | 8 | 0 | |t Chapter Four. Phenomenological Thermodynamics and Entropy Principles |r Hutter, Kolumban ; Wang, Yongqi |
| 505 | 8 | 0 | |t Chapter Five. Entropy in Nonequilibrium |r Müller, Ingo |
| 505 | 8 | 0 | |t Chapter Six. Entropy for Hyperbolic Conservation Laws |r Dafermos, C. M. |
| 505 | 8 | 0 | |t Chapter Seven. Irreversibility and the Second Law of Thermodynamics |r Uffink, Jos |
| 505 | 8 | 0 | |t Chapter Eight. The Entropy of Classical Thermodynamics |r Lieb, Elliott H. ; Yngvason, Jakob |
| 505 | 8 | 0 | |t Chapter Nine. Large Deviations and Entropy |r Varadhan, S. R. S. |
| 505 | 8 | 0 | |t Chapter Ten. Relative Entropy for Random Motion in a Random Medium |r Hollander, F. den |
| 505 | 8 | 0 | |t Chapter Eleven. Metastability and Entropy |r Olivieri, E. |
| 505 | 8 | 0 | |t Chapter Twelve. Entropy Production in Driven Spatially Extended Systems |r Maes, Christian |
| 505 | 8 | 0 | |t Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information |r Benatti, Fabio |
| 505 | 8 | 0 | |t Chapter Fifteen. Complexity and Information in Data |r Rissanen, J. |
| 505 | 8 | 0 | |t Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. |
| 506 | 1 | |a Restricted Access |e Controlled Vocabulary for Access Rights |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. | ||
| 520 | |a Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. | ||
| 546 | |a In English | ||
| 650 | 0 | |a Entropy | |
| 650 | 4 | |a Entropy. | |
| 650 | 4 | |a Applied Mathematics. | |
| 650 | 4 | |a Entropy. | |
| 650 | 4 | |a Mathematics. | |
| 650 | 4 | |a Physik. | |
| 650 | 4 | |a SCIENCE. | |
| 650 | 4 | |a MATHEMATICS / Applied | |
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FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Chapter Two. Entropy: a Subtle Concept in Thermodynamics Chapter Three. Probabilistic Aspects of Entropy Chapter Four. Phenomenological Thermodynamics and Entropy Principles Chapter Five. Entropy in Nonequilibrium Chapter Six. Entropy for Hyperbolic Conservation Laws Chapter Seven. Irreversibility and the Second Law of Thermodynamics Chapter Eight. The Entropy of Classical Thermodynamics Chapter Nine. Large Deviations and Entropy Chapter Ten. Relative Entropy for Random Motion in a Random Medium Chapter Eleven. Metastability and Entropy Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Chapter Fifteen. Complexity and Information in Data Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. |
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Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Müller, Ingo Georgii, Hans-Otto Hutter, Kolumban ; Wang, Yongqi Dafermos, C. M. Uffink, Jos Lieb, Elliott H. ; Yngvason, Jakob Varadhan, S. R. S. Hollander, F. den Olivieri, E. Maes, Christian Benatti, Fabio Rissanen, J. |
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| abstract |
The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. |
| abstractGer |
The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. |
| abstract_unstemmed |
The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. |
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9781400865222 978-1-4008-6522-2 9781400865222 10.1515/9781400865222 doi (DE-627)818142510 (DE-576)478830343 (DE-599)GBV818142510 (OCoLC)888349118 (OCoLC)891400524 (EBP)005950457 (DE-B1597)448028 DE-627 ger DE-627 rda eng QC318.E57 QC318.E57 E55 2014 MAT 003000 bisacsh MAT003000 bisacsh MAT003000 bisacsh 536.73 536/.73 21 SK 880 rvk (DE-625)rvk/143266: SK 950 rvk (DE-625)rvk/143273: UG 3000 rvk (DE-625)rvk/145624: SK 810 rvk (DE-625)rvk/143257: 31.99 bkl Entropy Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) Princeton Oxford Princeton University Press [2003] © 2003 1 Online-Ressource (xiv, 358 Seiten) Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Princeton series in applied mathematics FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Chapter Two. Entropy: a Subtle Concept in Thermodynamics Müller, Ingo Chapter Three. Probabilistic Aspects of Entropy Georgii, Hans-Otto Chapter Four. Phenomenological Thermodynamics and Entropy Principles Hutter, Kolumban ; Wang, Yongqi Chapter Five. Entropy in Nonequilibrium Müller, Ingo Chapter Six. Entropy for Hyperbolic Conservation Laws Dafermos, C. M. Chapter Seven. Irreversibility and the Second Law of Thermodynamics Uffink, Jos Chapter Eight. The Entropy of Classical Thermodynamics Lieb, Elliott H. ; Yngvason, Jakob Chapter Nine. Large Deviations and Entropy Varadhan, S. R. S. Chapter Ten. Relative Entropy for Random Motion in a Random Medium Hollander, F. den Chapter Eleven. Metastability and Entropy Olivieri, E. Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Maes, Christian Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Benatti, Fabio Chapter Fifteen. Complexity and Information in Data Rissanen, J. Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. Restricted Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_16ec online access with authorization star The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. In English Entropy Entropy. Applied Mathematics. Entropy. Mathematics. Physik. SCIENCE. MATHEMATICS / Applied s (DE-588)4014894-4 (DE-627)106338358 (DE-576)208909834 Entropie gnd (DE-627) Greven, Andreas 1953- herausgeberin (DE-588)110413733 (DE-627)521405009 (DE-576)289673011 edt Keller, Gerhard 1954- herausgeberin (DE-588)131504177 (DE-627)510154379 (DE-576)298550458 edt Warnecke, Gerald 1956- herausgeberin (DE-588)121539482 (DE-627)081374038 (DE-576)292762046 edt 0691113386 Erscheint auch als Druck-Ausgabe Entropy Princeton : Princeton University Press, 2003 XIV, 358 S. 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9781400865222 978-1-4008-6522-2 9781400865222 10.1515/9781400865222 doi (DE-627)818142510 (DE-576)478830343 (DE-599)GBV818142510 (OCoLC)888349118 (OCoLC)891400524 (EBP)005950457 (DE-B1597)448028 DE-627 ger DE-627 rda eng QC318.E57 QC318.E57 E55 2014 MAT 003000 bisacsh MAT003000 bisacsh MAT003000 bisacsh 536.73 536/.73 21 SK 880 rvk (DE-625)rvk/143266: SK 950 rvk (DE-625)rvk/143273: UG 3000 rvk (DE-625)rvk/145624: SK 810 rvk (DE-625)rvk/143257: 31.99 bkl Entropy Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) Princeton Oxford Princeton University Press [2003] © 2003 1 Online-Ressource (xiv, 358 Seiten) Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Princeton series in applied mathematics FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Chapter Two. Entropy: a Subtle Concept in Thermodynamics Müller, Ingo Chapter Three. Probabilistic Aspects of Entropy Georgii, Hans-Otto Chapter Four. Phenomenological Thermodynamics and Entropy Principles Hutter, Kolumban ; Wang, Yongqi Chapter Five. Entropy in Nonequilibrium Müller, Ingo Chapter Six. Entropy for Hyperbolic Conservation Laws Dafermos, C. M. Chapter Seven. Irreversibility and the Second Law of Thermodynamics Uffink, Jos Chapter Eight. The Entropy of Classical Thermodynamics Lieb, Elliott H. ; Yngvason, Jakob Chapter Nine. Large Deviations and Entropy Varadhan, S. R. S. Chapter Ten. Relative Entropy for Random Motion in a Random Medium Hollander, F. den Chapter Eleven. Metastability and Entropy Olivieri, E. Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Maes, Christian Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Benatti, Fabio Chapter Fifteen. Complexity and Information in Data Rissanen, J. Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. Restricted Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_16ec online access with authorization star The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. In English Entropy Entropy. Applied Mathematics. Entropy. Mathematics. Physik. SCIENCE. MATHEMATICS / Applied s (DE-588)4014894-4 (DE-627)106338358 (DE-576)208909834 Entropie gnd (DE-627) Greven, Andreas 1953- herausgeberin (DE-588)110413733 (DE-627)521405009 (DE-576)289673011 edt Keller, Gerhard 1954- herausgeberin (DE-588)131504177 (DE-627)510154379 (DE-576)298550458 edt Warnecke, Gerald 1956- herausgeberin (DE-588)121539482 (DE-627)081374038 (DE-576)292762046 edt 0691113386 Erscheint auch als Druck-Ausgabe Entropy Princeton : Princeton University Press, 2003 XIV, 358 S. (DE-627)369208307 (DE-576)10947189X 0691113386 http://dx.doi.org/10.1515/9781400865222 Verlag Volltext https://www.degruyter.com/isbn/9781400865222 X:GRUY Verlag lizenzpflichtig https://doi.org/10.1515/9781400865222?locatt=mode:legacy X:GRUY Resolving-System lizenzpflichtig http://www.degruyter.com/doc/cover/9781400865222.jpg Verlag Cover https://www.degruyter.com/doc/cover/9781400865222.jpg X:GRUY Cover https://www.degruyter.com/document/cover/isbn/9781400865222/original X:GRUY Verlag Cover ZDB-23-DGG EBA-BACKALL EBA-CL-MTPY EBA-EBACKALL EBA-EBKALL EBA-ECL-MTPY EBA-EEBKALL EBA-ESTMALL EBA-PPALL EBA-STMALL GBV-deGruyter-alles ZDB-23-PAM GBV_ILN_21 ISIL_DE-46 SYSFLAG_1 GBV_KXP GBV_ILN_22 ISIL_DE-18 GBV_ILN_23 ISIL_DE-830 GBV_ILN_24 ISIL_DE-8 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_65 ISIL_DE-3 GBV_ILN_69 ISIL_DE-9 GBV_ILN_90 ISIL_DE-Hil2 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_120 ISIL_DE-715 GBV_ILN_122 ISIL_DE-897 GBV_ILN_130 ISIL_DE-700 GBV_ILN_140 ISIL_DE-839 GBV_ILN_147 ISIL_DE-Fl3 GBV_ILN_264 ISIL_DE-897-1 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_736 GBV_ILN_2001 ISIL_DE-21 GBV_ILN_2006 ISIL_DE-14 GBV_ILN_2010 ISIL_DE-15 GBV_ILN_2011 ISIL_DE-16 GBV_ILN_2020 ISIL_DE-Ch1 GBV_ILN_2027 ISIL_DE-105 GBV_ILN_2044 ISIL_DE-751 GBV_ILN_2045 ISIL_DE-Mit1 GBV_ILN_2050 ISIL_DE-Zi4 GBV_ILN_2063 ISIL_DE-951 GBV_ILN_2088 ISIL_DE-Frei3c GBV_ILN_2118 ISIL_DE-Mh35 SK 880 Steuerungstheorie und (stochastische) Kontrolltheorie Mathematik Monografien Lineare und Nichtlineare Optimierung Steuerungstheorie und (stochastische) Kontrolltheorie (DE-627)1271461110 (DE-625)rvk/143266: (DE-576)201461110 SK 950 Mathematische Methoden in den Naturwissenschaften Mathematik Monografien Mathematische Methoden in den Naturwissenschaften (DE-627)1270877593 (DE-625)rvk/143273: (DE-576)200877593 UG 3000 Entropie und Informationstheorie Physik Thermodynamik, statistische Physik, Quantenstatistik Entropie und Informationstheorie (DE-627)1271486245 (DE-625)rvk/145624: (DE-576)201486245 SK 810 Ergodentheorie, dynamische Systeme Mathematik Monografien Wahrscheinlichkeitstheorie Ergodentheorie, dynamische Systeme (DE-627)1270877488 (DE-625)rvk/143257: (DE-576)200877488 31.99 Mathematik: Sonstiges SEPA (DE-627)106408313 BO 045F 536.73 045F 536/.73 21 01 0046 1834968925 ebook_2023_degruyter_ebs Freie Nutzung im <a href="http://nbn-resolving.de/urn:nbn:de:gbv:46-campusnetz9" Target="_blank">Campusnetz</a> der Universitaet und der Hochschulen im Lande Bremen zza 23-12-18 22 01 0018 4108207009 00 --%%-- --%%-- s --%%-- SUBedegebs zu 31-03-22 23 01 0830 1839317159 olr-degruyter3 i z 09-01-19 24 01 0008 3805511523 00 --%%-- --%%-- s --%%-- olr-dgebs Vervielfältigungen (z.B. 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| allfields_unstemmed |
9781400865222 978-1-4008-6522-2 9781400865222 10.1515/9781400865222 doi (DE-627)818142510 (DE-576)478830343 (DE-599)GBV818142510 (OCoLC)888349118 (OCoLC)891400524 (EBP)005950457 (DE-B1597)448028 DE-627 ger DE-627 rda eng QC318.E57 QC318.E57 E55 2014 MAT 003000 bisacsh MAT003000 bisacsh MAT003000 bisacsh 536.73 536/.73 21 SK 880 rvk (DE-625)rvk/143266: SK 950 rvk (DE-625)rvk/143273: UG 3000 rvk (DE-625)rvk/145624: SK 810 rvk (DE-625)rvk/143257: 31.99 bkl Entropy Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) Princeton Oxford Princeton University Press [2003] © 2003 1 Online-Ressource (xiv, 358 Seiten) Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Princeton series in applied mathematics FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Chapter Two. Entropy: a Subtle Concept in Thermodynamics Müller, Ingo Chapter Three. Probabilistic Aspects of Entropy Georgii, Hans-Otto Chapter Four. Phenomenological Thermodynamics and Entropy Principles Hutter, Kolumban ; Wang, Yongqi Chapter Five. Entropy in Nonequilibrium Müller, Ingo Chapter Six. Entropy for Hyperbolic Conservation Laws Dafermos, C. M. Chapter Seven. Irreversibility and the Second Law of Thermodynamics Uffink, Jos Chapter Eight. The Entropy of Classical Thermodynamics Lieb, Elliott H. ; Yngvason, Jakob Chapter Nine. Large Deviations and Entropy Varadhan, S. R. S. Chapter Ten. Relative Entropy for Random Motion in a Random Medium Hollander, F. den Chapter Eleven. Metastability and Entropy Olivieri, E. Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Maes, Christian Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Benatti, Fabio Chapter Fifteen. Complexity and Information in Data Rissanen, J. Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. Restricted Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_16ec online access with authorization star The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. In English Entropy Entropy. Applied Mathematics. Entropy. Mathematics. Physik. SCIENCE. MATHEMATICS / Applied s (DE-588)4014894-4 (DE-627)106338358 (DE-576)208909834 Entropie gnd (DE-627) Greven, Andreas 1953- herausgeberin (DE-588)110413733 (DE-627)521405009 (DE-576)289673011 edt Keller, Gerhard 1954- herausgeberin (DE-588)131504177 (DE-627)510154379 (DE-576)298550458 edt Warnecke, Gerald 1956- herausgeberin (DE-588)121539482 (DE-627)081374038 (DE-576)292762046 edt 0691113386 Erscheint auch als Druck-Ausgabe Entropy Princeton : Princeton University Press, 2003 XIV, 358 S. 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Zugriff von außerhalb nur für HCU-Angehörige möglich http://dx.doi.org/10.1515/9781400865222 736 01 4736 http://dx.doi.org/10.1515/9781400865222 2001 01 DE-21 https://www.degruyter.com/isbn/9781400865222 2006 01 DE-14 https://www.degruyter.com/isbn/9781400865222 2010 01 DE-15 Online-Zugriff https://www.degruyter.com/isbn/9781400865222 2011 01 DE-16 https://doi.org/10.1515/9781400865222 2020 01 DE-Ch1 http://dx.doi.org/10.1515/9781400865222 2044 01 DE-751 https://doi.org/10.1515/9781400865222?locatt=mode:legacy 2045 01 DE-Mit1 http://dx.doi.org/10.1515/9781400865222 2050 01 DE-Zi4 http://dx.doi.org/10.1515/9781400865222 2063 01 DE-951 https://doi.org/10.1515/9781400865222 2088 01 DE-Frei3c https://www.degruyter.com/isbn/9781400865222 2118 01 DE-Mh35 http://dx.doi.org/10.1515/9781400865222 2001 01 DE-21 00 s eBook-DeGruyter-EBS-2021-2022 2027 01 DE-105 00 s ebook 2088 01 DE-Frei3c 00 s ebook 120 00 DE-715 99 ww 2063 01 DE-951 00 (DE-627)1384640894 e-Book 2063 01 DE-951 00 (DE-627)1478403012 e-Book De Gruyter 21 01 0046 ebook_2023_degruyter_ebs 21 01 0046 ebm 22 01 0018 SUBedegebs 23 01 0830 olr-degruyter3 24 01 0008 olr-dgebs 34 01 3551 OLR-EBAKALL-EBS 65 01 0003 DeGruyter-EBA 90 01 3090 OLR-HILdegruyter 110 01 3110 OLR-DEGRUYTER-EBS-2018 120 02 0715 alma 122 01 0897 OLR-deGruyter-EBS 130 01 0700 OLR-deGruyter-EBA-EBKALL 140 01 0839 OLR-deGruyter-EBS 147 01 3528 OLR-EBS-DG 264 01 3264 OLR-deGruyter-EBS 370 01 4370 EBS deGruyter 736 01 4736 DeGryuterEBS2024 23 01 0830 2019.01.09 |
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9781400865222 978-1-4008-6522-2 9781400865222 10.1515/9781400865222 doi (DE-627)818142510 (DE-576)478830343 (DE-599)GBV818142510 (OCoLC)888349118 (OCoLC)891400524 (EBP)005950457 (DE-B1597)448028 DE-627 ger DE-627 rda eng QC318.E57 QC318.E57 E55 2014 MAT 003000 bisacsh MAT003000 bisacsh MAT003000 bisacsh 536.73 536/.73 21 SK 880 rvk (DE-625)rvk/143266: SK 950 rvk (DE-625)rvk/143273: UG 3000 rvk (DE-625)rvk/145624: SK 810 rvk (DE-625)rvk/143257: 31.99 bkl Entropy Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) Princeton Oxford Princeton University Press [2003] © 2003 1 Online-Ressource (xiv, 358 Seiten) Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Princeton series in applied mathematics FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Chapter Two. Entropy: a Subtle Concept in Thermodynamics Müller, Ingo Chapter Three. Probabilistic Aspects of Entropy Georgii, Hans-Otto Chapter Four. Phenomenological Thermodynamics and Entropy Principles Hutter, Kolumban ; Wang, Yongqi Chapter Five. Entropy in Nonequilibrium Müller, Ingo Chapter Six. Entropy for Hyperbolic Conservation Laws Dafermos, C. M. Chapter Seven. Irreversibility and the Second Law of Thermodynamics Uffink, Jos Chapter Eight. The Entropy of Classical Thermodynamics Lieb, Elliott H. ; Yngvason, Jakob Chapter Nine. Large Deviations and Entropy Varadhan, S. R. S. Chapter Ten. Relative Entropy for Random Motion in a Random Medium Hollander, F. den Chapter Eleven. Metastability and Entropy Olivieri, E. Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Maes, Christian Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Benatti, Fabio Chapter Fifteen. Complexity and Information in Data Rissanen, J. Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. Restricted Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_16ec online access with authorization star The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. In English Entropy Entropy. Applied Mathematics. Entropy. Mathematics. Physik. SCIENCE. MATHEMATICS / Applied s (DE-588)4014894-4 (DE-627)106338358 (DE-576)208909834 Entropie gnd (DE-627) Greven, Andreas 1953- herausgeberin (DE-588)110413733 (DE-627)521405009 (DE-576)289673011 edt Keller, Gerhard 1954- herausgeberin (DE-588)131504177 (DE-627)510154379 (DE-576)298550458 edt Warnecke, Gerald 1956- herausgeberin (DE-588)121539482 (DE-627)081374038 (DE-576)292762046 edt 0691113386 Erscheint auch als Druck-Ausgabe Entropy Princeton : Princeton University Press, 2003 XIV, 358 S. 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9781400865222 978-1-4008-6522-2 9781400865222 10.1515/9781400865222 doi (DE-627)818142510 (DE-576)478830343 (DE-599)GBV818142510 (OCoLC)888349118 (OCoLC)891400524 (EBP)005950457 (DE-B1597)448028 DE-627 ger DE-627 rda eng QC318.E57 QC318.E57 E55 2014 MAT 003000 bisacsh MAT003000 bisacsh MAT003000 bisacsh 536.73 536/.73 21 SK 880 rvk (DE-625)rvk/143266: SK 950 rvk (DE-625)rvk/143273: UG 3000 rvk (DE-625)rvk/145624: SK 810 rvk (DE-625)rvk/143257: 31.99 bkl Entropy Andreas Greven, Gerhard Keller, Gerald Warnecke (editors) Princeton Oxford Princeton University Press [2003] © 2003 1 Online-Ressource (xiv, 358 Seiten) Diagramme Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Princeton series in applied mathematics FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald Chapter Two. Entropy: a Subtle Concept in Thermodynamics Müller, Ingo Chapter Three. Probabilistic Aspects of Entropy Georgii, Hans-Otto Chapter Four. Phenomenological Thermodynamics and Entropy Principles Hutter, Kolumban ; Wang, Yongqi Chapter Five. Entropy in Nonequilibrium Müller, Ingo Chapter Six. Entropy for Hyperbolic Conservation Laws Dafermos, C. M. Chapter Seven. Irreversibility and the Second Law of Thermodynamics Uffink, Jos Chapter Eight. The Entropy of Classical Thermodynamics Lieb, Elliott H. ; Yngvason, Jakob Chapter Nine. Large Deviations and Entropy Varadhan, S. R. S. Chapter Ten. Relative Entropy for Random Motion in a Random Medium Hollander, F. den Chapter Eleven. Metastability and Entropy Olivieri, E. Chapter Twelve. Entropy Production in Driven Spatially Extended Systems Maes, Christian Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information Benatti, Fabio Chapter Fifteen. Complexity and Information in Data Rissanen, J. Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex. Restricted Access Controlled Vocabulary for Access Rights http://purl.org/coar/access_right/c_16ec online access with authorization star The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding. In English Entropy Entropy. Applied Mathematics. Entropy. Mathematics. Physik. SCIENCE. MATHEMATICS / Applied s (DE-588)4014894-4 (DE-627)106338358 (DE-576)208909834 Entropie gnd (DE-627) Greven, Andreas 1953- herausgeberin (DE-588)110413733 (DE-627)521405009 (DE-576)289673011 edt Keller, Gerhard 1954- herausgeberin (DE-588)131504177 (DE-627)510154379 (DE-576)298550458 edt Warnecke, Gerald 1956- herausgeberin (DE-588)121539482 (DE-627)081374038 (DE-576)292762046 edt 0691113386 Erscheint auch als Druck-Ausgabe Entropy Princeton : Princeton University Press, 2003 XIV, 358 S. 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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000cam a2200265 4500</leader><controlfield tag="001">818142510</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20241006180751.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">161027s2003 xx |||||o 00| ||eng c</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400865222</subfield><subfield code="9">978-1-4008-6522-2</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9781400865222</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400865222</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)818142510</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-576)478830343</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV818142510</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)888349118</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)891400524</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EBP)005950457</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)448028</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC318.E57</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC318.E57 E55 2014</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT 003000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT003000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT003000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">536.73</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">536/.73</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 880</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143266:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143273:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UG 3000</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/145624:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 810</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143257:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.99</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Entropy</subfield><subfield code="c">Andreas Greven, Gerhard Keller, Gerald Warnecke (editors)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton</subfield><subfield code="a">Oxford</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2003]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiv, 358 Seiten)</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Princeton series in applied mathematics</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">FrontmatterContentsPrefaceList of ContributorsChapter One. Introduction</subfield><subfield code="r">Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Two. Entropy: a Subtle Concept in Thermodynamics</subfield><subfield code="r">Müller, Ingo</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Three. Probabilistic Aspects of Entropy</subfield><subfield code="r">Georgii, Hans-Otto</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Four. Phenomenological Thermodynamics and Entropy Principles</subfield><subfield code="r">Hutter, Kolumban ; Wang, Yongqi</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Five. Entropy in Nonequilibrium</subfield><subfield code="r">Müller, Ingo</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Six. Entropy for Hyperbolic Conservation Laws</subfield><subfield code="r">Dafermos, C. M.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Seven. Irreversibility and the Second Law of Thermodynamics</subfield><subfield code="r">Uffink, Jos</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Eight. The Entropy of Classical Thermodynamics</subfield><subfield code="r">Lieb, Elliott H. ; Yngvason, Jakob</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Nine. Large Deviations and Entropy</subfield><subfield code="r">Varadhan, S. R. S.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Ten. Relative Entropy for Random Motion in a Random Medium</subfield><subfield code="r">Hollander, F. den</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Eleven. Metastability and Entropy</subfield><subfield code="r">Olivieri, E.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Twelve. Entropy Production in Driven Spatially Extended Systems</subfield><subfield code="r">Maes, Christian</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information</subfield><subfield code="r">Benatti, Fabio</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Fifteen. Complexity and Information in Data</subfield><subfield code="r">Rissanen, J.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex.</subfield></datafield><datafield tag="506" ind1="1" ind2=" "><subfield code="a">Restricted Access</subfield><subfield code="e">Controlled Vocabulary for Access Rights</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Entropy</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Entropy.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Applied Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Entropy.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physik.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">SCIENCE.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">MATHEMATICS / Applied</subfield></datafield><datafield tag="689" ind1="0" 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code="0">(DE-576)298550458</subfield><subfield code="4">edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Warnecke, Gerald</subfield><subfield code="d">1956-</subfield><subfield code="e">herausgeberin</subfield><subfield code="0">(DE-588)121539482</subfield><subfield code="0">(DE-627)081374038</subfield><subfield code="0">(DE-576)292762046</subfield><subfield code="4">edt</subfield></datafield><datafield tag="776" ind1="1" ind2=" "><subfield code="z">0691113386</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="t">Entropy</subfield><subfield code="d">Princeton : Princeton University Press, 2003</subfield><subfield code="h">XIV, 358 S.</subfield><subfield code="w">(DE-627)369208307</subfield><subfield code="w">(DE-576)10947189X</subfield><subfield code="z">0691113386</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield 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Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="k">Zugriff auf den Volltext nur für Universitätsangehörige innerhalb des Netzes der Universität Kiel (Campuslizenz).</subfield><subfield code="y">z</subfield><subfield code="z">17-11-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">34</subfield><subfield code="1">01</subfield><subfield code="x">3551</subfield><subfield code="b">407789798X</subfield><subfield code="h">OLR-EBAKALL-EBS</subfield><subfield code="k">Zugriff nur im Netz der HAW Hamburg</subfield><subfield code="y">z</subfield><subfield code="z">03-03-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">65</subfield><subfield code="1">01</subfield><subfield code="x">0003</subfield><subfield code="b">4418589775</subfield><subfield code="h">DeGruyter-EBA</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">27-11-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">69</subfield><subfield code="1">01</subfield><subfield code="x">0009</subfield><subfield code="b">375543590X</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="u">BF_dG</subfield><subfield code="y">z</subfield><subfield code="z">15-09-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">90</subfield><subfield code="1">01</subfield><subfield code="x">3090</subfield><subfield code="b">1832891186</subfield><subfield code="h">OLR-HILdegruyter</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">110</subfield><subfield code="1">01</subfield><subfield code="x">3110</subfield><subfield code="b">183291545X</subfield><subfield code="h">OLR-DEGRUYTER-EBS-2018</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="k">Volltextzugriff nur für berechtigte Personen über das Campusnetz</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">120</subfield><subfield code="1">01</subfield><subfield code="x">0715</subfield><subfield code="b">1832926397</subfield><subfield code="k">Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">120</subfield><subfield code="1">02</subfield><subfield code="x">0715</subfield><subfield code="b">3577428635</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">g</subfield><subfield code="j">--%%--</subfield><subfield code="h">alma</subfield><subfield code="y">z</subfield><subfield code="z">21-01-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">122</subfield><subfield code="1">01</subfield><subfield code="x">0897</subfield><subfield code="b">1832609332</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">130</subfield><subfield code="1">01</subfield><subfield code="x">0700</subfield><subfield code="b">3985611904</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">s</subfield><subfield code="j">--%%--</subfield><subfield code="h">OLR-deGruyter-EBA-EBKALL</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">09-10-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">140</subfield><subfield code="1">01</subfield><subfield code="x">0839</subfield><subfield code="b">1832621464</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">147</subfield><subfield code="1">01</subfield><subfield code="x">3528</subfield><subfield code="b">3787639101</subfield><subfield code="h">OLR-EBS-DG</subfield><subfield code="k">Multiuser | freigeschaltet für Europa-Universität Flensburg, Hochschule Flensburg und Zentrale Hochschulbibliothek</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">27-10-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">264</subfield><subfield code="1">01</subfield><subfield code="x">3264</subfield><subfield code="b">1832632474</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">370</subfield><subfield code="1">01</subfield><subfield code="x">4370</subfield><subfield code="b">4085100068</subfield><subfield code="h">EBS deGruyter</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.</subfield><subfield code="u">i</subfield><subfield code="y">z</subfield><subfield code="z">09-03-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">736</subfield><subfield code="1">01</subfield><subfield code="x">4736</subfield><subfield code="b">4492463518</subfield><subfield code="h">DeGryuterEBS2024</subfield><subfield code="u">verv</subfield><subfield code="y">zeg</subfield><subfield code="z">27-02-24</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2001</subfield><subfield code="1">01</subfield><subfield code="x">DE-21</subfield><subfield code="b">3938402873</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">kp</subfield><subfield code="y">l01</subfield><subfield code="z">14-06-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2006</subfield><subfield code="1">01</subfield><subfield code="x">DE-14</subfield><subfield code="b">4433109088</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">--%%--</subfield><subfield code="y">l01</subfield><subfield code="z">12-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2010</subfield><subfield code="1">01</subfield><subfield code="x">DE-15</subfield><subfield code="b">4433057738</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Elektronischer Volltext - Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">12-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2011</subfield><subfield code="1">01</subfield><subfield code="x">DE-16</subfield><subfield code="b">4197222416</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">knp</subfield><subfield code="y">l01</subfield><subfield code="z">14-10-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2020</subfield><subfield code="1">01</subfield><subfield code="x">DE-Ch1</subfield><subfield code="b">4441566727</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">19-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2027</subfield><subfield code="1">01</subfield><subfield code="x">DE-105</subfield><subfield code="b">4463774101</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">19-01-24</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2044</subfield><subfield code="1">01</subfield><subfield code="x">DE-751</subfield><subfield code="b">4587877204</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">eBook de Gruyter</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz bis 30.09.2025. 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Entropy |
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Introduction</subfield><subfield code="r">Greven, Andreas ; Keller, Gerhard ; Warnecke, Gerald</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Two. Entropy: a Subtle Concept in Thermodynamics</subfield><subfield code="r">Müller, Ingo</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Three. Probabilistic Aspects of Entropy</subfield><subfield code="r">Georgii, Hans-Otto</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Four. Phenomenological Thermodynamics and Entropy Principles</subfield><subfield code="r">Hutter, Kolumban ; Wang, Yongqi</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Five. Entropy in Nonequilibrium</subfield><subfield code="r">Müller, Ingo</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Six. Entropy for Hyperbolic Conservation Laws</subfield><subfield code="r">Dafermos, C. M.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Seven. Irreversibility and the Second Law of Thermodynamics</subfield><subfield code="r">Uffink, Jos</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Eight. The Entropy of Classical Thermodynamics</subfield><subfield code="r">Lieb, Elliott H. ; Yngvason, Jakob</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Nine. Large Deviations and Entropy</subfield><subfield code="r">Varadhan, S. R. S.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Ten. Relative Entropy for Random Motion in a Random Medium</subfield><subfield code="r">Hollander, F. den</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Eleven. Metastability and Entropy</subfield><subfield code="r">Olivieri, E.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Twelve. Entropy Production in Driven Spatially Extended Systems</subfield><subfield code="r">Maes, Christian</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Thirteen. Entropy: a DialogueChapter Fourteen. Classical and Quantum Entropies: Dynamics and Information</subfield><subfield code="r">Benatti, Fabio</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Fifteen. Complexity and Information in Data</subfield><subfield code="r">Rissanen, J.</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="t">Chapter Sixteen. Entropy in Dynamical SystemsChapter Seventeen. Entropy in Ergodic TheoryCombined ReferencesIndex.</subfield></datafield><datafield tag="506" ind1="1" ind2=" "><subfield code="a">Restricted Access</subfield><subfield code="e">Controlled Vocabulary for Access Rights</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Main description: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. 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Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="k">Zugriff auf den Volltext nur für Universitätsangehörige innerhalb des Netzes der Universität Kiel (Campuslizenz).</subfield><subfield code="y">z</subfield><subfield code="z">17-11-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">34</subfield><subfield code="1">01</subfield><subfield code="x">3551</subfield><subfield code="b">407789798X</subfield><subfield code="h">OLR-EBAKALL-EBS</subfield><subfield code="k">Zugriff nur im Netz der HAW Hamburg</subfield><subfield code="y">z</subfield><subfield code="z">03-03-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">65</subfield><subfield code="1">01</subfield><subfield code="x">0003</subfield><subfield code="b">4418589775</subfield><subfield code="h">DeGruyter-EBA</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">27-11-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">69</subfield><subfield code="1">01</subfield><subfield code="x">0009</subfield><subfield code="b">375543590X</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="u">BF_dG</subfield><subfield code="y">z</subfield><subfield code="z">15-09-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">90</subfield><subfield code="1">01</subfield><subfield code="x">3090</subfield><subfield code="b">1832891186</subfield><subfield code="h">OLR-HILdegruyter</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">110</subfield><subfield code="1">01</subfield><subfield code="x">3110</subfield><subfield code="b">183291545X</subfield><subfield code="h">OLR-DEGRUYTER-EBS-2018</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="k">Volltextzugriff nur für berechtigte Personen über das Campusnetz</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">120</subfield><subfield code="1">01</subfield><subfield code="x">0715</subfield><subfield code="b">1832926397</subfield><subfield code="k">Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">120</subfield><subfield code="1">02</subfield><subfield code="x">0715</subfield><subfield code="b">3577428635</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">g</subfield><subfield code="j">--%%--</subfield><subfield code="h">alma</subfield><subfield code="y">z</subfield><subfield code="z">21-01-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">122</subfield><subfield code="1">01</subfield><subfield code="x">0897</subfield><subfield code="b">1832609332</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">130</subfield><subfield code="1">01</subfield><subfield code="x">0700</subfield><subfield code="b">3985611904</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">s</subfield><subfield code="j">--%%--</subfield><subfield code="h">OLR-deGruyter-EBA-EBKALL</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">09-10-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">140</subfield><subfield code="1">01</subfield><subfield code="x">0839</subfield><subfield code="b">1832621464</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">147</subfield><subfield code="1">01</subfield><subfield code="x">3528</subfield><subfield code="b">3787639101</subfield><subfield code="h">OLR-EBS-DG</subfield><subfield code="k">Multiuser | freigeschaltet für Europa-Universität Flensburg, Hochschule Flensburg und Zentrale Hochschulbibliothek</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.</subfield><subfield code="y">z</subfield><subfield code="z">27-10-20</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">264</subfield><subfield code="1">01</subfield><subfield code="x">3264</subfield><subfield code="b">1832632474</subfield><subfield code="h">OLR-deGruyter-EBS</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots</subfield><subfield code="y">z</subfield><subfield code="z">15-12-18</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">370</subfield><subfield code="1">01</subfield><subfield code="x">4370</subfield><subfield code="b">4085100068</subfield><subfield code="h">EBS deGruyter</subfield><subfield code="k">Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.</subfield><subfield code="u">i</subfield><subfield code="y">z</subfield><subfield code="z">09-03-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">736</subfield><subfield code="1">01</subfield><subfield code="x">4736</subfield><subfield code="b">4492463518</subfield><subfield code="h">DeGryuterEBS2024</subfield><subfield code="u">verv</subfield><subfield code="y">zeg</subfield><subfield code="z">27-02-24</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2001</subfield><subfield code="1">01</subfield><subfield code="x">DE-21</subfield><subfield code="b">3938402873</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">kp</subfield><subfield code="y">l01</subfield><subfield code="z">14-06-21</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2006</subfield><subfield code="1">01</subfield><subfield code="x">DE-14</subfield><subfield code="b">4433109088</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">--%%--</subfield><subfield code="y">l01</subfield><subfield code="z">12-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2010</subfield><subfield code="1">01</subfield><subfield code="x">DE-15</subfield><subfield code="b">4433057738</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Elektronischer Volltext - Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">12-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2011</subfield><subfield code="1">01</subfield><subfield code="x">DE-16</subfield><subfield code="b">4197222416</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">knp</subfield><subfield code="y">l01</subfield><subfield code="z">14-10-22</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2020</subfield><subfield code="1">01</subfield><subfield code="x">DE-Ch1</subfield><subfield code="b">4441566727</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">19-12-23</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2027</subfield><subfield code="1">01</subfield><subfield code="x">DE-105</subfield><subfield code="b">4463774101</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">--%%--</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz</subfield><subfield code="y">l01</subfield><subfield code="z">19-01-24</subfield></datafield><datafield tag="980" ind1=" " ind2=" "><subfield code="2">2044</subfield><subfield code="1">01</subfield><subfield code="x">DE-751</subfield><subfield code="b">4587877204</subfield><subfield code="c">00</subfield><subfield code="f">--%%--</subfield><subfield code="d">eBook de Gruyter</subfield><subfield code="e">--%%--</subfield><subfield code="j">n</subfield><subfield code="k">Campuslizenz bis 30.09.2025. 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