Differential- und Integralrechnung für Funktionen einer Variablen, Vektor- und Matrizenrechnung, komplexe Zahlen, Funktionenreihen : mit 262 Aufgaben und Lösungen
Gespeichert in:
| Autor*in: |
Westermann, Thomas [verfasserIn] |
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| Format: |
Buch |
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| Sprache: |
Deutsch |
| Erschienen: |
Berlin u.a.: Springer ; 2001 |
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| Ausgabe: |
2. Aufl |
| Systematik: |
|
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| Umfang: |
XIII, 534 S ; graph. Darst ; 24 cm ; 1 CD-ROM |
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| Übergeordnetes Werk: |
Mathematik für Ingenieure mit Maple. - Westermann, Thomas |
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| Reihe: |
Mathematik für Ingenieure mit Maple / Thomas Westermann ; Bd. 1 Springer-Lehrbuch |
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| Links: | |
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| ISBN: |
3-540-67450-0 |
| Katalog-ID: |
319981711 |
|---|
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| spelling |
3540674500 3-540-67450-0 (DE-627)319981711 (DE-599)GBV319981711 (OCoLC)248573183 (ZBM)0966.00005 (ZBM)0966.00005 DE-627 ger DE-627 rakwb ger XA-DE XD-US XA-ES SK 950 rvk (DE-625)rvk/143273: *00A06 msc 00A05 msc 26-01 msc 65-01 msc 15-01 msc 68-04 msc 00A69 msc 31.41 bkl 31.25 bkl 31.42 bkl a Westermann, Thomas verfasserin aut Differential- und Integralrechnung für Funktionen einer Variablen, Vektor- und Matrizenrechnung, komplexe Zahlen, Funktionenreihen mit 262 Aufgaben und Lösungen 2. Aufl Berlin [u.a.] Springer 2001 XIII, 534 S graph. Darst 24 cm 1 CD-ROM Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Mathematik für Ingenieure mit Maple / Thomas Westermann Bd. 1 Springer-Lehrbuch Literaturverz. S. [521] - 522 Archivierung prüfen 20240324 DE-4165 3 pdager Westermann, Thomas Mathematik für Ingenieure mit Maple. Bd. 1 1.2001 (DE-627)213296748 (DE-576)9213296746 nm http://www.gbv.de/dms/goettingen/319981711.pdf V:DE-601 B:DE-7 pdf/application Verlag Inhaltsverzeichnis Inhaltsverzeichnis https://zbmath.org/?q=an:0966.00005 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext GBV_ILN_21 ISIL_DE-46 SYSFLAG_1 GBV_KXP SSG-OPC-MAT GBV_ILN_23 ISIL_DE-830 GBV_ILN_24 ISIL_DE-8 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_40 ISIL_DE-7 GBV_ILN_60 ISIL_DE-705 GBV_ILN_62 ISIL_DE-28 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_70 ISIL_DE-89 GBV_ILN_91 ISIL_DE-HIL3 GBV_ILN_105 ISIL_DE-841 GBV_ILN_152 ISIL_DE-Shm2 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_736 sf SK 950 Mathematische Methoden in den Naturwissenschaften Mathematik Monografien Mathematische Methoden in den Naturwissenschaften (DE-627)1270877593 (DE-625)rvk/143273: (DE-576)200877593 31.41 Reelle Analysis (DE-627)106408186 31.25 Lineare Algebra multilineare Algebra (DE-627)106407740 31.42 Funktionen mit einer komplexen Variablen (DE-627)106408178 MV 21 01 0046 407197044 00 TB Technik b 38/59-1(2) u --%%-- znt 25-10-00 23 01 0830 47050496X 00 27 2799-3459 --%%-- --%%-- z 08-02-01 24 01 0008 541705482 00 10 mat 263 Db 9765-1 u --%%-- ra Buch zz1 15-01-02 24 02 0008 541705490 00 16 Cdr 751-1 u --%%-- ra CD-ROM zz1 15-01-02 34 04 3551 530274035 00 18/284 Mat B - 122/1.1 c --%%-- zi004 09-11-01 40 01 0007 472795554 00 --%%-- FA 19931[2]:1 u --%%-- xsn 28-02-01 60 01 0705 487526074 00 MB INF 380 MAP:YA0013-001(002) u --%%-- z 07-05-01 62 01 0028 424942259 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 02 0028 471796212 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1242 --%%-- --%%-- CD-ROM zbb1c 20-02-01 62 03 0028 424942267 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 04 0028 472030620 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1405 --%%-- --%%-- CD-ROM zbb1c 22-02-01 62 05 0028 498682021 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 29-05-01 62 06 0028 501279245 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- CD-ROM zbb1c 18-06-01 63 01 3401 409884006 00 Mag 2020 A 5365 u --%%-- 09 --%%-- 175 855 --%%-- --%%-- Buch z 09-11-00 70 01 0089 474663108 00 Haus2 U 01 B 167 u --%%-- z 16-03-01 91 01 3091/1 413311848 00 N MAT 0140/104-1 (2) u --%%-- Buch zm 11-01-01 91 02 3091/1 422442445 00 N MAT 0140/104-1cd (2) u --%%-- CD-ROM zm 11-01-01 105 01 0841 425103773 00 Mag 2001 A 66 u --%%-- Buch z 02-02-01 105 02 0841 425103781 00 Mag 2001 CD 11 u --%%-- CD-ROM z 02-02-01 152 01 3405 517301016 00 A Ma 315 4471/01 u --%%-- CD-ROM an der Ausleihtheke erhältlich! k 04-01-02 370 01 4370 54782338X 00 EG SK 950 004 1 (2) --%%-- --%%-- nb zi001 26-02-02 736 01 4736/0007 3927705691 00 PL SK950 Dif D569 Bd.1<2> u --%%-- zpl 12-05-21 105 00 DE-841 https://portal.dnb.de/opac/mvb/cover?isbn=3540674500 152 00 DE-Shm2 00 Maple 152 00 DE-Shm2 01 Mathematik 152 00 DE-Shm2 02 Informatik 152 00 DE-Shm2 03 Differentialgleichung 152 00 DE-Shm2 04 Integralgleichung 21 00 DE-46 00 b 38 34 00 DE-18-302 00 Math 210 40 00 DE-7 00 (DE-627)617582998 EDA 000 General reference works {Functions of a complex variable} 40 00 DE-7 01 (DE-627)617575614 EBF 000 General reference works {Linear and multilinear algebra; matrix theory} 40 00 DE-7 02 (DE-627)617584168 EDC 000 General reference works {Several complex variables and analytic spaces} 60 00 DE-705 04 INF 380 63 00 DE-Wim2 00 Hm 7240 63 00 DE-Wim2 01 Eb 7200 91 01 3091/1 00 MAT 91 02 3091/1 00 MAT 152 00 DE-Shm2 00 Ma 315 21 01 0046 46B$000859249 23 01 0830 830$27993459 24 01 0008 8$0009825606 34 04 3551 NT000826 40 01 0007 7$20869157X 60 01 0705 705/0$21601712 62 01 0028 28$006020704 62 02 0028 28$006128432 62 03 0028 28$006021700 62 04 0028 28$010761470 62 05 0028 28$005531454 62 06 0028 28$005531659 63 01 3401 WIM2$002431092 Buch 70 01 0089 89$121373304 91 01 3091/1 HIL3/1$0112275 91 02 3091/1 HIL3/1$0112267 105 01 0841 841$0000810460 105 02 0841 841$9000002788 152 01 3405 4471/01 370 01 4370 BA034770 736 01 4736/0007 604175 21 01 0046 81116 34 04 3551 01:1176 60 01 0705 2001 09075 62 01 0028 28/571 62 01 0028 2001.01609 62 02 0028 28/571 62 02 0028 CD.01242 62 03 0028 28/572 62 03 0028 2001.01842 62 04 0028 28/572 62 04 0028 CD.01405 62 05 0028 28/008 62 05 0028 2001.11381 62 06 0028 28/008 62 06 0028 2001.11381-CD 91 01 3091/1 200556 91 02 3091/1 200556 105 01 0841 2001 A 66 105 02 0841 2001 CD 11 152 01 3405 4471/01 370 01 4370 02.397 736 01 4736/0007 PL 01/831 24 01 0008 ra 24 02 0008 ra 370 01 4370 nb |
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3540674500 3-540-67450-0 (DE-627)319981711 (DE-599)GBV319981711 (OCoLC)248573183 (ZBM)0966.00005 (ZBM)0966.00005 DE-627 ger DE-627 rakwb ger XA-DE XD-US XA-ES SK 950 rvk (DE-625)rvk/143273: *00A06 msc 00A05 msc 26-01 msc 65-01 msc 15-01 msc 68-04 msc 00A69 msc 31.41 bkl 31.25 bkl 31.42 bkl a Westermann, Thomas verfasserin aut Differential- und Integralrechnung für Funktionen einer Variablen, Vektor- und Matrizenrechnung, komplexe Zahlen, Funktionenreihen mit 262 Aufgaben und Lösungen 2. Aufl Berlin [u.a.] Springer 2001 XIII, 534 S graph. Darst 24 cm 1 CD-ROM Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Mathematik für Ingenieure mit Maple / Thomas Westermann Bd. 1 Springer-Lehrbuch Literaturverz. S. [521] - 522 Archivierung prüfen 20240324 DE-4165 3 pdager Westermann, Thomas Mathematik für Ingenieure mit Maple. Bd. 1 1.2001 (DE-627)213296748 (DE-576)9213296746 nm http://www.gbv.de/dms/goettingen/319981711.pdf V:DE-601 B:DE-7 pdf/application Verlag Inhaltsverzeichnis Inhaltsverzeichnis https://zbmath.org/?q=an:0966.00005 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext GBV_ILN_21 ISIL_DE-46 SYSFLAG_1 GBV_KXP SSG-OPC-MAT GBV_ILN_23 ISIL_DE-830 GBV_ILN_24 ISIL_DE-8 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_40 ISIL_DE-7 GBV_ILN_60 ISIL_DE-705 GBV_ILN_62 ISIL_DE-28 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_70 ISIL_DE-89 GBV_ILN_91 ISIL_DE-HIL3 GBV_ILN_105 ISIL_DE-841 GBV_ILN_152 ISIL_DE-Shm2 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_736 sf SK 950 Mathematische Methoden in den Naturwissenschaften Mathematik Monografien Mathematische Methoden in den Naturwissenschaften (DE-627)1270877593 (DE-625)rvk/143273: (DE-576)200877593 31.41 Reelle Analysis (DE-627)106408186 31.25 Lineare Algebra multilineare Algebra (DE-627)106407740 31.42 Funktionen mit einer komplexen Variablen (DE-627)106408178 MV 21 01 0046 407197044 00 TB Technik b 38/59-1(2) u --%%-- znt 25-10-00 23 01 0830 47050496X 00 27 2799-3459 --%%-- --%%-- z 08-02-01 24 01 0008 541705482 00 10 mat 263 Db 9765-1 u --%%-- ra Buch zz1 15-01-02 24 02 0008 541705490 00 16 Cdr 751-1 u --%%-- ra CD-ROM zz1 15-01-02 34 04 3551 530274035 00 18/284 Mat B - 122/1.1 c --%%-- zi004 09-11-01 40 01 0007 472795554 00 --%%-- FA 19931[2]:1 u --%%-- xsn 28-02-01 60 01 0705 487526074 00 MB INF 380 MAP:YA0013-001(002) u --%%-- z 07-05-01 62 01 0028 424942259 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 02 0028 471796212 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1242 --%%-- --%%-- CD-ROM zbb1c 20-02-01 62 03 0028 424942267 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 04 0028 472030620 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1405 --%%-- --%%-- CD-ROM zbb1c 22-02-01 62 05 0028 498682021 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 29-05-01 62 06 0028 501279245 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- CD-ROM zbb1c 18-06-01 63 01 3401 409884006 00 Mag 2020 A 5365 u --%%-- 09 --%%-- 175 855 --%%-- --%%-- Buch z 09-11-00 70 01 0089 474663108 00 Haus2 U 01 B 167 u --%%-- z 16-03-01 91 01 3091/1 413311848 00 N MAT 0140/104-1 (2) u --%%-- Buch zm 11-01-01 91 02 3091/1 422442445 00 N MAT 0140/104-1cd (2) u --%%-- CD-ROM zm 11-01-01 105 01 0841 425103773 00 Mag 2001 A 66 u --%%-- Buch z 02-02-01 105 02 0841 425103781 00 Mag 2001 CD 11 u --%%-- CD-ROM z 02-02-01 152 01 3405 517301016 00 A Ma 315 4471/01 u --%%-- CD-ROM an der Ausleihtheke erhältlich! k 04-01-02 370 01 4370 54782338X 00 EG SK 950 004 1 (2) --%%-- --%%-- nb zi001 26-02-02 736 01 4736/0007 3927705691 00 PL SK950 Dif D569 Bd.1<2> u --%%-- zpl 12-05-21 105 00 DE-841 https://portal.dnb.de/opac/mvb/cover?isbn=3540674500 152 00 DE-Shm2 00 Maple 152 00 DE-Shm2 01 Mathematik 152 00 DE-Shm2 02 Informatik 152 00 DE-Shm2 03 Differentialgleichung 152 00 DE-Shm2 04 Integralgleichung 21 00 DE-46 00 b 38 34 00 DE-18-302 00 Math 210 40 00 DE-7 00 (DE-627)617582998 EDA 000 General reference works {Functions of a complex variable} 40 00 DE-7 01 (DE-627)617575614 EBF 000 General reference works {Linear and multilinear algebra; matrix theory} 40 00 DE-7 02 (DE-627)617584168 EDC 000 General reference works {Several complex variables and analytic spaces} 60 00 DE-705 04 INF 380 63 00 DE-Wim2 00 Hm 7240 63 00 DE-Wim2 01 Eb 7200 91 01 3091/1 00 MAT 91 02 3091/1 00 MAT 152 00 DE-Shm2 00 Ma 315 21 01 0046 46B$000859249 23 01 0830 830$27993459 24 01 0008 8$0009825606 34 04 3551 NT000826 40 01 0007 7$20869157X 60 01 0705 705/0$21601712 62 01 0028 28$006020704 62 02 0028 28$006128432 62 03 0028 28$006021700 62 04 0028 28$010761470 62 05 0028 28$005531454 62 06 0028 28$005531659 63 01 3401 WIM2$002431092 Buch 70 01 0089 89$121373304 91 01 3091/1 HIL3/1$0112275 91 02 3091/1 HIL3/1$0112267 105 01 0841 841$0000810460 105 02 0841 841$9000002788 152 01 3405 4471/01 370 01 4370 BA034770 736 01 4736/0007 604175 21 01 0046 81116 34 04 3551 01:1176 60 01 0705 2001 09075 62 01 0028 28/571 62 01 0028 2001.01609 62 02 0028 28/571 62 02 0028 CD.01242 62 03 0028 28/572 62 03 0028 2001.01842 62 04 0028 28/572 62 04 0028 CD.01405 62 05 0028 28/008 62 05 0028 2001.11381 62 06 0028 28/008 62 06 0028 2001.11381-CD 91 01 3091/1 200556 91 02 3091/1 200556 105 01 0841 2001 A 66 105 02 0841 2001 CD 11 152 01 3405 4471/01 370 01 4370 02.397 736 01 4736/0007 PL 01/831 24 01 0008 ra 24 02 0008 ra 370 01 4370 nb |
| allfieldsGer |
3540674500 3-540-67450-0 (DE-627)319981711 (DE-599)GBV319981711 (OCoLC)248573183 (ZBM)0966.00005 (ZBM)0966.00005 DE-627 ger DE-627 rakwb ger XA-DE XD-US XA-ES SK 950 rvk (DE-625)rvk/143273: *00A06 msc 00A05 msc 26-01 msc 65-01 msc 15-01 msc 68-04 msc 00A69 msc 31.41 bkl 31.25 bkl 31.42 bkl a Westermann, Thomas verfasserin aut Differential- und Integralrechnung für Funktionen einer Variablen, Vektor- und Matrizenrechnung, komplexe Zahlen, Funktionenreihen mit 262 Aufgaben und Lösungen 2. Aufl Berlin [u.a.] Springer 2001 XIII, 534 S graph. Darst 24 cm 1 CD-ROM Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Mathematik für Ingenieure mit Maple / Thomas Westermann Bd. 1 Springer-Lehrbuch Literaturverz. S. [521] - 522 Archivierung prüfen 20240324 DE-4165 3 pdager Westermann, Thomas Mathematik für Ingenieure mit Maple. Bd. 1 1.2001 (DE-627)213296748 (DE-576)9213296746 nm http://www.gbv.de/dms/goettingen/319981711.pdf V:DE-601 B:DE-7 pdf/application Verlag Inhaltsverzeichnis Inhaltsverzeichnis https://zbmath.org/?q=an:0966.00005 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext GBV_ILN_21 ISIL_DE-46 SYSFLAG_1 GBV_KXP SSG-OPC-MAT GBV_ILN_23 ISIL_DE-830 GBV_ILN_24 ISIL_DE-8 GBV_ILN_34 ISIL_DE-18-302 GBV_ILN_40 ISIL_DE-7 GBV_ILN_60 ISIL_DE-705 GBV_ILN_62 ISIL_DE-28 GBV_ILN_63 ISIL_DE-Wim2 GBV_ILN_70 ISIL_DE-89 GBV_ILN_91 ISIL_DE-HIL3 GBV_ILN_105 ISIL_DE-841 GBV_ILN_152 ISIL_DE-Shm2 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_736 sf SK 950 Mathematische Methoden in den Naturwissenschaften Mathematik Monografien Mathematische Methoden in den Naturwissenschaften (DE-627)1270877593 (DE-625)rvk/143273: (DE-576)200877593 31.41 Reelle Analysis (DE-627)106408186 31.25 Lineare Algebra multilineare Algebra (DE-627)106407740 31.42 Funktionen mit einer komplexen Variablen (DE-627)106408178 MV 21 01 0046 407197044 00 TB Technik b 38/59-1(2) u --%%-- znt 25-10-00 23 01 0830 47050496X 00 27 2799-3459 --%%-- --%%-- z 08-02-01 24 01 0008 541705482 00 10 mat 263 Db 9765-1 u --%%-- ra Buch zz1 15-01-02 24 02 0008 541705490 00 16 Cdr 751-1 u --%%-- ra CD-ROM zz1 15-01-02 34 04 3551 530274035 00 18/284 Mat B - 122/1.1 c --%%-- zi004 09-11-01 40 01 0007 472795554 00 --%%-- FA 19931[2]:1 u --%%-- xsn 28-02-01 60 01 0705 487526074 00 MB INF 380 MAP:YA0013-001(002) u --%%-- z 07-05-01 62 01 0028 424942259 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 02 0028 471796212 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1242 --%%-- --%%-- CD-ROM zbb1c 20-02-01 62 03 0028 424942267 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 01-02-01 62 04 0028 472030620 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- 09 --%%-- CD 1405 --%%-- --%%-- CD-ROM zbb1c 22-02-01 62 05 0028 498682021 00 28/BB1 SK 950 W527-1(2) u --%%-- Buch zbb1 29-05-01 62 06 0028 501279245 00 28/BB1-NBM SK 950 W527-1(2)-CD u --%%-- CD-ROM zbb1c 18-06-01 63 01 3401 409884006 00 Mag 2020 A 5365 u --%%-- 09 --%%-- 175 855 --%%-- --%%-- Buch z 09-11-00 70 01 0089 474663108 00 Haus2 U 01 B 167 u --%%-- z 16-03-01 91 01 3091/1 413311848 00 N MAT 0140/104-1 (2) u --%%-- Buch zm 11-01-01 91 02 3091/1 422442445 00 N MAT 0140/104-1cd (2) u --%%-- CD-ROM zm 11-01-01 105 01 0841 425103773 00 Mag 2001 A 66 u --%%-- Buch z 02-02-01 105 02 0841 425103781 00 Mag 2001 CD 11 u --%%-- CD-ROM z 02-02-01 152 01 3405 517301016 00 A Ma 315 4471/01 u --%%-- CD-ROM an der Ausleihtheke erhältlich! k 04-01-02 370 01 4370 54782338X 00 EG SK 950 004 1 (2) --%%-- --%%-- nb zi001 26-02-02 736 01 4736/0007 3927705691 00 PL SK950 Dif D569 Bd.1<2> u --%%-- zpl 12-05-21 105 00 DE-841 https://portal.dnb.de/opac/mvb/cover?isbn=3540674500 152 00 DE-Shm2 00 Maple 152 00 DE-Shm2 01 Mathematik 152 00 DE-Shm2 02 Informatik 152 00 DE-Shm2 03 Differentialgleichung 152 00 DE-Shm2 04 Integralgleichung 21 00 DE-46 00 b 38 34 00 DE-18-302 00 Math 210 40 00 DE-7 00 (DE-627)617582998 EDA 000 General reference works {Functions of a complex variable} 40 00 DE-7 01 (DE-627)617575614 EBF 000 General reference works {Linear and multilinear algebra; matrix theory} 40 00 DE-7 02 (DE-627)617584168 EDC 000 General reference works {Several complex variables and analytic spaces} 60 00 DE-705 04 INF 380 63 00 DE-Wim2 00 Hm 7240 63 00 DE-Wim2 01 Eb 7200 91 01 3091/1 00 MAT 91 02 3091/1 00 MAT 152 00 DE-Shm2 00 Ma 315 21 01 0046 46B$000859249 23 01 0830 830$27993459 24 01 0008 8$0009825606 34 04 3551 NT000826 40 01 0007 7$20869157X 60 01 0705 705/0$21601712 62 01 0028 28$006020704 62 02 0028 28$006128432 62 03 0028 28$006021700 62 04 0028 28$010761470 62 05 0028 28$005531454 62 06 0028 28$005531659 63 01 3401 WIM2$002431092 Buch 70 01 0089 89$121373304 91 01 3091/1 HIL3/1$0112275 91 02 3091/1 HIL3/1$0112267 105 01 0841 841$0000810460 105 02 0841 841$9000002788 152 01 3405 4471/01 370 01 4370 BA034770 736 01 4736/0007 604175 21 01 0046 81116 34 04 3551 01:1176 60 01 0705 2001 09075 62 01 0028 28/571 62 01 0028 2001.01609 62 02 0028 28/571 62 02 0028 CD.01242 62 03 0028 28/572 62 03 0028 2001.01842 62 04 0028 28/572 62 04 0028 CD.01405 62 05 0028 28/008 62 05 0028 2001.11381 62 06 0028 28/008 62 06 0028 2001.11381-CD 91 01 3091/1 200556 91 02 3091/1 200556 105 01 0841 2001 A 66 105 02 0841 2001 CD 11 152 01 3405 4471/01 370 01 4370 02.397 736 01 4736/0007 PL 01/831 24 01 0008 ra 24 02 0008 ra 370 01 4370 nb |
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Thomas Westermann Mathematik für Ingenieure mit Maple Band … Differential- und Integralrechnung für Funktionen einer Variablen, Vektor- und Matrizenrechnung, Komplexe Zahlen, Funktionenreihen … Auflage Mit … Abbildungen, … Aufgaben und Lösungen Springer Inhaltsverzeichnis Kapitel I: Zahlen, Gleichungen und Gleichungssysteme … Mengen … Natürliche Zahlen … Peanosche Axiome … Vollständige Induktion … Geometrische Summenformel … Permutationen … Der binomische Lehrsatz … Mathematische Beweismethoden … Reelle Zahlen … Zahlenmengen und Operationen … Die Rechengesetze für reelle Zahlen … Potenzrechnen … Logarithmen … Anordnung der reellen Zahlen … Gleichungen und Ungleichungen mit M A P L E … Gleichungen … Ungleichungen … Lineare Gleichungssysteme … Ein Einführungsbeispiel … Begriffsbildung und Notation … Das Lösen von linearen Gleichungssystemen … Lösen von linearen Gleichungssystemen mit M A P L E Zusammenstellung der MAPLE-Befehle Aufgaben zu Kapitel I … Kapitel II: Vektorrechnung … Vektoren im R2 … Multiplikation eines Vektors mit einem Skalar … Addition zweier Vektoren … Die Länge (der Betrag) eines Vektors … Das Skalarprodukt zweier Vektoren … Geometrische Anwendung … Vektoren im R3 … Rechenregeln für Vektoren … Projektion eines Vektors … Das Vektorprodukt (Kreuzprodukt) zweier Vektoren … Das Spatprodukt von drei Vektoren … Vektorrechnung mit M A P L E Geraden und Ebenen im R3 … Vektorielle Darstellung von Geraden … Lage zweier Geraden zueinander … Inhaltsverzeichnis … Abstandsberechnung zu Geraden … Vektorielle Darstellung von Ebenen … Lage zweier Ebenen zueinander … Abstandsberechnung zu Ebenen … Berechnung des Schnittes einer Geraden mit einer Ebene … Punkte, Geraden und Ebenen mit M A P L E … Definition der geometrischen Objekte … Beziehungen von geometrischen Objekten zueinander … Die MAPLE-Prozedur geomet … Vektorräume … Vektorrechnung im Rn … Vektorräume … Linearkombination und Erzeugnis … Lineare Abhängigkeit und Unabhängigkeit … Basis und Dimension … Zusammenstellung der MAPLE-Befehle … Aufgaben zu Kapitel II … Kapitel III: Matrizen und Determinanten … Matrizen … Einführung, spezielle Matrizen … Rechenoperationen für Matrizen … Inverse Matrix … Das Matrizenrechnen mit M A P L E … Lineare Abbildungen … Anwendungsbeispiele Determinanten … Einführung … Rechenregeln für zweireihige Determinanten … n-reihige Determinanten … Anwendungen von Determinanten Lösbarkeit von linearen Gleichungssystemen … Lineare Gleichungssysteme, Rang … Anwendungen Zusammenstellung der MAPLE-Befehle Aufgaben zu Kapitel III Kapitel IV: Elementare Funktionen … Grundbegriffe und allgemeine Funktionseigenschaften … Grundbegriffe … Elementare Funktionen in M A P L E … Allgemeine Funktionseigenschaften … Polynome … Festlegung von Polynomen durch Wertepaare … Inhaltsverzeichnis … Koeffizientenvergleich Teilbarkeit durch einen Linearfaktor Nullstellenproblem Interpolationspolynome mit dem Newton-Algorithmus Polynome mit M A P L E Rationale Funktionen … Rationale Funktionen … Anwendung: Übertragungsfunktion bei LC-Kreisen … Rationale Funktionen mit M A P L E Potenz- und Wurzelfunktionen Exponential- und Logarithmusfunktion … Exponentialfunktion … Logarithmusfunktion Trigonometrische Funktionen … Grundbegriffe … Sinus- und Kosinusfunktion … Tangens- und Kotangensfunktion … Arkusfunktionen Zusammenstellung der Vereinfachungsbefehle von M A P L E Aufgaben zu Kapitel IV Kapitel V: Die komplexen Zahlen … Darstellung komplexer Zahlen … Algebraische Normalform … Trigonometrische Normalform … Exponentielle Normalform … Umformungen der Normalformen … Komplexe Zahlen mit M A P L E … Komplexe Rechenoperationen … Addition … Subtraktion … Multiplikation … Division … Potenz … Wurzeln … Fundamentalsatz der Algebra … Komplexe Rechnung mit M A P L E … Anwendungen … Übertragungsfunktion für RCL-Filterschaltungen … Übertragungsfunktion für lineare Ketten … Beispiele … Dimensionierung von Hoch- und Tiefpässen Aufgaben zu Kapitel V L xi … XÜ Inhaltsverzeichnis Kapitel VI: Differential- und Integralrechnung … Grenzwert und Stetigkeit einer Funktion … Reelle Zahlenfolgen … Funktionsgrenzwert … Stetigkeit einer Funktion … Differentialrechnung … Einführung … Rechenregeln bei der Differentiation … Anwendungsbeispiele aus Physik und Technik … Differential einer Funktion … Anwendung der Differentialrechnung in der Mathematik … Extremwertaufgaben (Optimierungsprobleme) … Sätze der Differentialrechnung … Spektrum eines strahlenden schwarzen Körpers … Integralrechnung … Das Riemann-Integral … Fundamentalsatz der Differential- und Integralrechnung … Grundregeln der Integralrechnung … Integrationsmethoden … Uneigentliche Integrale … Anwendungen der Integralrechnung … Zusammenstellung der MAPLE-Befehle … Aufgaben zu Kapitel VI … Kapitel VII: Funktionenreihen … Zahlenreihen … Beispiele … Konvergenzkriterien … Potenzreihen … Taylorreihen … Taylorreihen mit M A P L E Anwendungen … Näherungspolynome einer Funktion … Integration durch Potenzreihenentwicklung Komplexwertige Funktionen … Komplexe Potenzreihen … Die Eulersche Formel … Eigenschaften der komplexen Exponentialfunktion … Komplexe Hyperbelfunktionen … Differentiation und Integration Zusammenstellung der MAPLE-Befehle Aufgaben zu Kapitel VII … Inhaltsverzeichnis XU1 Kapitel VIII: Numerisches Lösen von Gleichungen … Intervallhalbierungs-Methode … Pegasus-Verfahren … Banachsches Iterationsverfahren … Newton-Verfahren … Regula falsi … Bestimmung von Polynom-Nullstellen Aufgaben zu Kapitel VIII … Kapitel IX: Numerische Differentiation und Integration … Numerische Differentiation … Differenzenformeln für die erste Ableitung … Differenzenformeln für die zweite Ableitung … Differenzenformeln für die n-te Ableitung … Numerische Integration … Die Rechteckregel … Die Trapezregel … Die Simpson-Regel Zusammenstellung der MAPLE-Befehle Aufgaben zu Kapitel IX … Anhang A: Lösungen zu den Übungsaufgaben … Anhang B: Einführung in M A P L E … Anhang C: Die CD-ROM … Literaturverzeichnis … Index … Verzeichnis der MAPLE-Befehle … |
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