Differential equations: theory and applications, with Maple
"This book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics to illustrate the theory, but also has a com...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Springer
2001
|
| Schriftenreihe: | Springer Telos
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "This book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics to illustrate the theory, but also has a complete collection of proofs for the major theorems ranging from the usual existence and uniqueness results to the Hartman-Grobman theorem and the Jordan canonical form theorem." "The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason, an extensive computer component using Maple is provided on the accompanying CD-ROM and is cross referenced in the text."--BOOK JACKET. |
| Beschreibung: | XIV, 680 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| ISBN: | 0387951407 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128465916526592 |
|---|---|
| adam_text | Contents
Preface
1
1.1
1.2
1.3
1.4
1.5
1.6
2
2.1
2.1.1
2.1.2
2.2
2.3
2.4
2.5
2.5.1
2.5.2
2.6
3
3.1
3.2
3.3
3.4
xi
xii Contents
3.5
3.6
4
4.1
4.1.1
Autonomous Systems
4.2
4.3
4.4
4.5
4.6
5
5.1
5.2
5.3
5.4
5.4.1
5.4.2
5.5
5.5.1
5.5.2
5.5.3
5.6
6
6.1
6.2
6.2.1
6.2.2
6.3
7
7.1
7.2
7.2.1
Jordan Forms
7.3
7.4
Contente
7.5
8
8.1
8.2
8.3
8.4
9
9.1
9.1.1
9.1.2
9.1.3
9.1.4
9.2
9.2.1
9.3
9.3.1
9.3.2
9.3.3
9.3.4
9.3.5
9.4
9.4.1
9.4.2
9.4.3
9.4.4
9.4.5
10
10.1
10.1.1
10.1.2
10.2
10.3
10.4
10.5
10.6
10.6.1
10.6.2
xiv
10.7
11
11.1
11.1.1
11.2
11.3
11.3.1
11.4
A Elementary Analysis
A.I
A.2 The Chain Rule
A.3 The Inverse and Implicit Function Theorems
A.4 Taylor s Theorem and The Hessian
A.5 The Change of Variables Formula
В
B.I Norms
B.2 Lipschitz Functions
B.3 The Contraction Mapping Principle
B.4 The Linearization Theorem
С
C.I Vector Spaces and Direct Sums
C.2 Bilinear Forms
C.3 Inner Product Spaces
C.4 The Principal Axes Theorem
C.5 Generalized
С.
С.6.1
D
Bibliography
Index
|
| any_adam_object | 1 |
| author | Betounes, David |
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| author_sort | Betounes, David |
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| building | Verbundindex |
| bvnumber | BV013655254 |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371.5.D37 |
| callnumber-search | QA371.5.D37 |
| callnumber-sort | QA 3371.5 D37 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)44732341 (DE-599)BVBBV013655254 |
| dewey-full | 515/.35/02855369 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35/02855369 |
| dewey-search | 515/.35/02855369 |
| dewey-sort | 3515 235 72855369 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV013655254 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:49:41Z |
| institution | BVB |
| isbn | 0387951407 |
| language | English |
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| physical | XIV, 680 S. Ill., graph. Darst. 1 CD-ROM (12 cm) |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
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| series2 | Springer Telos |
| spelling | Betounes, David Verfasser aut Differential equations theory and applications, with Maple David Betounes New York u.a. Springer 2001 XIV, 680 S. Ill., graph. Darst. 1 CD-ROM (12 cm) txt rdacontent n rdamedia nc rdacarrier Springer Telos "This book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics to illustrate the theory, but also has a complete collection of proofs for the major theorems ranging from the usual existence and uniqueness results to the Hartman-Grobman theorem and the Jordan canonical form theorem." "The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason, an extensive computer component using Maple is provided on the accompanying CD-ROM and is cross referenced in the text."--BOOK JACKET. Maple (Computer file) Equações diferenciais larpcal Maple larpcal Datenverarbeitung Differential equations Data processing Maple Programm (DE-588)4209397-1 gnd rswk-swf System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 s Maple Programm (DE-588)4209397-1 s DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009329774&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Betounes, David Differential equations theory and applications, with Maple Maple (Computer file) Equações diferenciais larpcal Maple larpcal Datenverarbeitung Differential equations Data processing Maple Programm (DE-588)4209397-1 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4209397-1 (DE-588)4116671-1 (DE-588)4020929-5 (DE-588)4123623-3 |
| title | Differential equations theory and applications, with Maple |
| title_auth | Differential equations theory and applications, with Maple |
| title_exact_search | Differential equations theory and applications, with Maple |
| title_full | Differential equations theory and applications, with Maple David Betounes |
| title_fullStr | Differential equations theory and applications, with Maple David Betounes |
| title_full_unstemmed | Differential equations theory and applications, with Maple David Betounes |
| title_short | Differential equations |
| title_sort | differential equations theory and applications with maple |
| title_sub | theory and applications, with Maple |
| topic | Maple (Computer file) Equações diferenciais larpcal Maple larpcal Datenverarbeitung Differential equations Data processing Maple Programm (DE-588)4209397-1 gnd System von gewöhnlichen Differentialgleichungen (DE-588)4116671-1 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Maple (Computer file) Equações diferenciais Maple Datenverarbeitung Differential equations Data processing Maple Programm System von gewöhnlichen Differentialgleichungen Gewöhnliche Differentialgleichung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009329774&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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