Perspectives in nonlinearity: an introduction to nonlinear analysis
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Benjamin
1968
|
| Schriftenreihe: | Mathematics lecture note series
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 189 S. |
| ISBN: | 0805306684 |
Internformat
MARC
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| 245 | 1 | 0 | |a Perspectives in nonlinearity |b an introduction to nonlinear analysis |c Melvyn Berger and Marion Berger |
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Datensatz im Suchindex
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| adam_text | CONTENTS
Preface 1
Chapter 1. Once Over Lightly 3
1 1. Diophantine Equations and the Genus of an
Algebraic Plane Curve 4
1 2. Zeros and Critical Points of Analytic
Functions of One Complex Variable 13
1 3. Some General Problems of Nonlinear Analysis 20
1 4. Applications of Nonlinear Problems 25
Chapter 2. Finite Dimensional Systems in Hn 31
2 1. The Definition of Degree of a Mapping 32
2 2. Some Properties of the Degree of a Mapping 45
2 3. Gradient Systems and Their Basic Properties 56
2 4.. Gradient Systems with Nondegenerate Critical
Points 64
2 5. Critical Points for General Gradient Systems 77
2 6. Systems Deformable to Gradient Systems 87
Chapter 3. Infinite Dimensional Systems 93
3 1. The Degree of a Class of Operators in Spaces
of Infinite Dimension 95
3 2. A Special Class of Noncompact Operators 105
3 3. Gradient Operators and Their Properties 107
3 4.. A Remark on the Theory of Critical Points
of Infinite Dimensional Gradient Operators 117
3 5. Local Behavior of Nonlinear Operator
Equations in Hilbert Space 118
Chapter 4« Applications 133
4 1. Global Univalence 133
4 2. Topics in Nonlinear Autonomous Ordinary
Differential Equations 142
4 3. Topics in Elliptic Partial Differential
Equations 159
Appendix I. The Axioms of Homology Theory 183
Appendix II. Standard Results from Analysis 186
|
| any_adam_object | 1 |
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| dewey-full | 517 |
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| dewey-ones | 517 - [Unassigned] |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:35Z |
| institution | BVB |
| isbn | 0805306684 |
| language | English |
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| physical | 189 S. |
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| series | Mathematics lecture note series |
| series2 | Mathematics lecture note series |
| spelling | Berger, Melvyn S. Verfasser aut Perspectives in nonlinearity an introduction to nonlinear analysis Melvyn Berger and Marion Berger New York u.a. Benjamin 1968 189 S. txt rdacontent n rdamedia nc rdacarrier Mathematics lecture note series 12 Mathematical analysis Nonlinear theories Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 s DE-604 Nichtlineare Analysis (DE-588)4177490-5 s Algebraische Topologie (DE-588)4120861-4 s Berger, Marion Verfasser aut Mathematics lecture note series 12 (DE-604)BV001899001 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berger, Melvyn S. Berger, Marion Perspectives in nonlinearity an introduction to nonlinear analysis Mathematics lecture note series Mathematical analysis Nonlinear theories Nichtlineare Analysis (DE-588)4177490-5 gnd Algebraische Topologie (DE-588)4120861-4 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd |
| subject_GND | (DE-588)4177490-5 (DE-588)4120861-4 (DE-588)4136065-5 |
| title | Perspectives in nonlinearity an introduction to nonlinear analysis |
| title_auth | Perspectives in nonlinearity an introduction to nonlinear analysis |
| title_exact_search | Perspectives in nonlinearity an introduction to nonlinear analysis |
| title_full | Perspectives in nonlinearity an introduction to nonlinear analysis Melvyn Berger and Marion Berger |
| title_fullStr | Perspectives in nonlinearity an introduction to nonlinear analysis Melvyn Berger and Marion Berger |
| title_full_unstemmed | Perspectives in nonlinearity an introduction to nonlinear analysis Melvyn Berger and Marion Berger |
| title_short | Perspectives in nonlinearity |
| title_sort | perspectives in nonlinearity an introduction to nonlinear analysis |
| title_sub | an introduction to nonlinear analysis |
| topic | Mathematical analysis Nonlinear theories Nichtlineare Analysis (DE-588)4177490-5 gnd Algebraische Topologie (DE-588)4120861-4 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd |
| topic_facet | Mathematical analysis Nonlinear theories Nichtlineare Analysis Algebraische Topologie Nichtlineares Phänomen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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