Making up Numbers : A History of Invention in Mathematics
"Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the dev...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kopp, Ekkehard [verfasserIn] |
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| Format: |
E-Book |
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| Sprache: |
Englisch |
| Erschienen: |
Erscheinungsort nicht ermittelbar: Open Book Publishers ; 2020 |
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| Rechteinformationen: |
Open Access Creative Commons ; https://creativecommons.org/licenses/by/4.0 |
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| Schlagwörter: |
Educational: Mathematics & numeracy Calculus & mathematical analysis |
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| Umfang: |
1 Online-Ressource (280 p.) |
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| Links: |
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| Katalog-ID: |
1836456247 |
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| 520 | |a "Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject." | ||
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(DE-627)1836456247 (DE-599)KEP062195158 (OCoLC)1286316296 (OAPEN)42727 (EBP)062195158 DE-627 eng DE-627 rda eng YQM bicssc PB bicssc PBK bicssc YPMF bicssc Kopp, Ekkehard verfasserin aut Making up Numbers A History of Invention in Mathematics [Erscheinungsort nicht ermittelbar] Open Book Publishers 2020 1 Online-Ressource (280 p.) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Open Access Unrestricted online access star "Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject." Creative Commons https://creativecommons.org/licenses/by/4.0 cc English Educational: Mathematics & numeracy Calculus & mathematical analysis Mathematics Educational: Mathematics and numeracy Calculus and mathematical analysis https://library.oapen.org/bitstream/id/00616f6b-a218-4038-8a97-f1b6b9b14286/9781800640979.pdf X:OAPEN Verlag OAPEN Library: download the publication kostenfrei https://library.oapen.org/handle/20.500.12657/42727 X:OAPEN Verlag OAPEN Library: description of the publication kostenfrei ZDB-94-OAL GBV_ILN_22 ISIL_DE-18 SYSFLAG_1 GBV_KXP GBV_ILN_23 ISIL_DE-830 GBV_ILN_30 ISIL_DE-104 GBV_ILN_31 ISIL_DE-27 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_39 ISIL_DE-547 GBV_ILN_40 ISIL_DE-7 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_65 ISIL_DE-3 GBV_ILN_70 ISIL_DE-89 GBV_ILN_72 ISIL_DE-35 GBV_ILN_95 ISIL_DE-542 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_136 ISIL_DE-Wis1 GBV_ILN_147 ISIL_DE-Fl3 GBV_ILN_161 ISIL_DE-960 GBV_ILN_187 ISIL_DE-Ki95 GBV_ILN_213 ISIL_DE-551 GBV_ILN_230 ISIL_DE-552 GBV_ILN_283 ISIL_DE-Ha163 GBV_ILN_293 ISIL_DE-960-3 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_603 ISIL_DE-B1556 GBV_ILN_808 GBV_ILN_2403 ISIL_DE-LFER BO 22 01 0018 4280114331 OLR-ZDB-94-OAL OAPEN Library zu 01-03-23 23 01 0830 4280666377 OLR-OAPEN f z 01-03-23 30 01 0104 4281026851 GBV-OAPEN z 01-03-23 31 01 0027 4280309086 z 01-03-23 34 01 3551 4278864612 OLR-OAPEN zi002 01-03-23 39 01 0547 4281217843 GBV-OAPEN ke 01-03-23 40 01 0007 4279933103 OLR-OAPEN xsn 01-03-23 63 01 3401 4281599312 E-Books LF GBV-OAPEN z 01-03-23 65 01 0003 4281849831 OLR-OAPEN z 01-03-23 70 01 0089 4280487367 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 72 01 0035 4278687222 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 95 01 3095 4343213110 OLR-OAL Vervielfältigungen (z.B. 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Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. z 01-03-23 161 01 0960 4278120907 OLR-OAPEN OAPEN Online Library Open Access eBook z 28-02-23 187 01 3520 4278505779 JSTOR Open Access eBook z 28-02-23 213 01 0551 4279219788 OLR-OAPEN OAPEN Online Library Open Access eBook z 01-03-23 230 01 0552 4279396965 OLR-OAPEN OAPEN Online Library Open Access eBook z 01-03-23 283 01 3283 4279755876 OLR-OAL z 01-03-23 293 01 3293 4278299990 OLR-OAPEN OAPEN Online Library Open Access eBook z 28-02-23 370 01 4370 4279042357 OLR-FREE Kostenloser Zugriff z 01-03-23 603 01 4603 4277943020 OLR-OAPEN Bitte beachten Sie die Nutzungsbedingungen und Copyright-Bestimmungen des Verlages/Herausgebers. z 28-02-23 808 01 4808 428084528X OLR-OAPEN OAPEN Library zg 01-03-23 2403 01 DE-LFER 4307794389 00 --%%-- --%%-- n --%%-- l01 12-04-23 22 01 0018 Volltextzugang https://library.oapen.org/handle/20.500.12657/42727 23 01 0830 https://library.oapen.org/handle/20.500.12657/42727 30 01 0104 Open Access https://library.oapen.org/handle/20.500.12657/42727 31 01 0027 eBook GBV-OAPEN https://library.oapen.org/handle/20.500.12657/42727 34 01 3551 OpenAccess https://library.oapen.org/handle/20.500.12657/42727 40 01 0007 Volltext, Open Access https://library.oapen.org/handle/20.500.12657/42727 63 01 3401 E-Book https://library.oapen.org/handle/20.500.12657/42727 65 01 0003 Open Access https://library.oapen.org/handle/20.500.12657/42727 65 01 0003 Dieser Titel ist Teil einer Datenbank http://www.bibliothek.uni-regensburg.de/dbinfo/detail.php?titel_id=10728&bib_id=ulb_hal 70 01 0089 https://library.oapen.org/handle/20.500.12657/42727 LF 72 01 0035 https://library.oapen.org/handle/20.500.12657/42727 95 01 3095 https://library.oapen.org/handle/20.500.12657/42727 110 01 3110 Open Access https://library.oapen.org/handle/20.500.12657/42727 136 01 3526 Open Access https://library.oapen.org/handle/20.500.12657/42727 147 01 3528 https://library.oapen.org/handle/20.500.12657/42727 161 01 0960 https://library.oapen.org/handle/20.500.12657/42727 LF 187 01 3520 https://library.oapen.org/handle/20.500.12657/42727 213 01 0551 https://library.oapen.org/handle/20.500.12657/42727 230 01 0552 https://library.oapen.org/handle/20.500.12657/42727 283 01 3283 https://library.oapen.org/handle/20.500.12657/42727 293 01 3293 https://library.oapen.org/handle/20.500.12657/42727 LF 370 01 4370 https://library.oapen.org/handle/20.500.12657/42727 603 01 4603 https://library.oapen.org/handle/20.500.12657/42727 808 01 4808 Volltextzugang https://library.oapen.org/handle/20.500.12657/42727 2403 01 DE-LFER https://library.oapen.org/bitstream/id/00616f6b-a218-4038-8a97-f1b6b9b14286/9781800640979.pdf 31 01 0027 00 eBook GBV-OAPEN 22 01 0018 OLR-ZDB-94-OAL 23 01 0830 OLR-OAPEN 30 01 0104 GBV-OAPEN 34 01 3551 OLR-OAPEN 39 01 0547 GBV-OAPEN 39 01 0547 LF 40 01 0007 OLR-OAPEN 63 01 3401 E-Books LF GBV-OAPEN 65 01 0003 OLR-OAPEN 70 01 0089 OLR-OAPEN-OA 72 01 0035 OLR-OAPEN-OA 95 01 3095 OLR-OAL 110 01 3110 OLR-GBV-OAPEN 136 01 3526 OLR-OAPEN 147 01 3528 OLR-OAPEN 161 01 0960 OLR-OAPEN 213 01 0551 OLR-OAPEN 230 01 0552 OLR-OAPEN 283 01 3283 OLR-OAL 293 01 3293 OLR-OAPEN 370 01 4370 OLR-FREE 370 01 4370 olr-ebook GBV-OAPEN 603 01 4603 OLR-OAPEN 808 01 4808 OLR-OAPEN |
| spelling |
(DE-627)1836456247 (DE-599)KEP062195158 (OCoLC)1286316296 (OAPEN)42727 (EBP)062195158 DE-627 eng DE-627 rda eng YQM bicssc PB bicssc PBK bicssc YPMF bicssc Kopp, Ekkehard verfasserin aut Making up Numbers A History of Invention in Mathematics [Erscheinungsort nicht ermittelbar] Open Book Publishers 2020 1 Online-Ressource (280 p.) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Open Access Unrestricted online access star "Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject." Creative Commons https://creativecommons.org/licenses/by/4.0 cc English Educational: Mathematics & numeracy Calculus & mathematical analysis Mathematics Educational: Mathematics and numeracy Calculus and mathematical analysis https://library.oapen.org/bitstream/id/00616f6b-a218-4038-8a97-f1b6b9b14286/9781800640979.pdf X:OAPEN Verlag OAPEN Library: download the publication kostenfrei https://library.oapen.org/handle/20.500.12657/42727 X:OAPEN Verlag OAPEN Library: description of the publication kostenfrei ZDB-94-OAL GBV_ILN_22 ISIL_DE-18 SYSFLAG_1 GBV_KXP GBV_ILN_23 ISIL_DE-830 GBV_ILN_30 ISIL_DE-104 GBV_ILN_31 ISIL_DE-27 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_39 ISIL_DE-547 GBV_ILN_40 ISIL_DE-7 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_65 ISIL_DE-3 GBV_ILN_70 ISIL_DE-89 GBV_ILN_72 ISIL_DE-35 GBV_ILN_95 ISIL_DE-542 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_136 ISIL_DE-Wis1 GBV_ILN_147 ISIL_DE-Fl3 GBV_ILN_161 ISIL_DE-960 GBV_ILN_187 ISIL_DE-Ki95 GBV_ILN_213 ISIL_DE-551 GBV_ILN_230 ISIL_DE-552 GBV_ILN_283 ISIL_DE-Ha163 GBV_ILN_293 ISIL_DE-960-3 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_603 ISIL_DE-B1556 GBV_ILN_808 GBV_ILN_2403 ISIL_DE-LFER BO 22 01 0018 4280114331 OLR-ZDB-94-OAL OAPEN Library zu 01-03-23 23 01 0830 4280666377 OLR-OAPEN f z 01-03-23 30 01 0104 4281026851 GBV-OAPEN z 01-03-23 31 01 0027 4280309086 z 01-03-23 34 01 3551 4278864612 OLR-OAPEN zi002 01-03-23 39 01 0547 4281217843 GBV-OAPEN ke 01-03-23 40 01 0007 4279933103 OLR-OAPEN xsn 01-03-23 63 01 3401 4281599312 E-Books LF GBV-OAPEN z 01-03-23 65 01 0003 4281849831 OLR-OAPEN z 01-03-23 70 01 0089 4280487367 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 72 01 0035 4278687222 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 95 01 3095 4343213110 OLR-OAL 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. z 24-06-23 110 01 3110 428140273X OLR-GBV-OAPEN Open Access z 01-03-23 136 01 3526 4279574170 OLR-OAPEN z 01-03-23 147 01 3528 428204814X OLR-OAPEN frei verfügbar für Europa-Universität Flensburg, Hochschule Flensburg und Zentrale Hochschulbibliothek Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. 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| allfields_unstemmed |
(DE-627)1836456247 (DE-599)KEP062195158 (OCoLC)1286316296 (OAPEN)42727 (EBP)062195158 DE-627 eng DE-627 rda eng YQM bicssc PB bicssc PBK bicssc YPMF bicssc Kopp, Ekkehard verfasserin aut Making up Numbers A History of Invention in Mathematics [Erscheinungsort nicht ermittelbar] Open Book Publishers 2020 1 Online-Ressource (280 p.) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Open Access Unrestricted online access star "Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject." Creative Commons https://creativecommons.org/licenses/by/4.0 cc English Educational: Mathematics & numeracy Calculus & mathematical analysis Mathematics Educational: Mathematics and numeracy Calculus and mathematical analysis https://library.oapen.org/bitstream/id/00616f6b-a218-4038-8a97-f1b6b9b14286/9781800640979.pdf X:OAPEN Verlag OAPEN Library: download the publication kostenfrei https://library.oapen.org/handle/20.500.12657/42727 X:OAPEN Verlag OAPEN Library: description of the publication kostenfrei ZDB-94-OAL GBV_ILN_22 ISIL_DE-18 SYSFLAG_1 GBV_KXP GBV_ILN_23 ISIL_DE-830 GBV_ILN_30 ISIL_DE-104 GBV_ILN_31 ISIL_DE-27 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_39 ISIL_DE-547 GBV_ILN_40 ISIL_DE-7 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_65 ISIL_DE-3 GBV_ILN_70 ISIL_DE-89 GBV_ILN_72 ISIL_DE-35 GBV_ILN_95 ISIL_DE-542 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_136 ISIL_DE-Wis1 GBV_ILN_147 ISIL_DE-Fl3 GBV_ILN_161 ISIL_DE-960 GBV_ILN_187 ISIL_DE-Ki95 GBV_ILN_213 ISIL_DE-551 GBV_ILN_230 ISIL_DE-552 GBV_ILN_283 ISIL_DE-Ha163 GBV_ILN_293 ISIL_DE-960-3 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_603 ISIL_DE-B1556 GBV_ILN_808 GBV_ILN_2403 ISIL_DE-LFER BO 22 01 0018 4280114331 OLR-ZDB-94-OAL OAPEN Library zu 01-03-23 23 01 0830 4280666377 OLR-OAPEN f z 01-03-23 30 01 0104 4281026851 GBV-OAPEN z 01-03-23 31 01 0027 4280309086 z 01-03-23 34 01 3551 4278864612 OLR-OAPEN zi002 01-03-23 39 01 0547 4281217843 GBV-OAPEN ke 01-03-23 40 01 0007 4279933103 OLR-OAPEN xsn 01-03-23 63 01 3401 4281599312 E-Books LF GBV-OAPEN z 01-03-23 65 01 0003 4281849831 OLR-OAPEN z 01-03-23 70 01 0089 4280487367 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 72 01 0035 4278687222 OLR-OAPEN-OA OAPEN Online Library Open Access eBook z 01-03-23 95 01 3095 4343213110 OLR-OAL 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. z 24-06-23 110 01 3110 428140273X OLR-GBV-OAPEN Open Access z 01-03-23 136 01 3526 4279574170 OLR-OAPEN z 01-03-23 147 01 3528 428204814X OLR-OAPEN frei verfügbar für Europa-Universität Flensburg, Hochschule Flensburg und Zentrale Hochschulbibliothek Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. 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