Transversal mappings and flows:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Benjamin
1967
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 161 S. |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
Preface
CHAPTER 1. DIFFERENTIAL THEORY
§1. Review of Calculus 1
§2. A Criterion for Smoothness 5
§3. Manifolds 9
§4. Orientation 10
$5. Vector Bundles 12
§6. Tangents 14
§7. Double Tangents 16
§8. Jets 19
§9. Linear Map Bundles 21
CHAPTER 2. SPACES OF SECTIONS
§10. Local Mappings 23
§11. Continuous Sections 28
§12. Smooth Sections 30
CHAPTER 3. REGULAR VALUES
§13. Extension of Smooth Mappings 33
§14. Composition of Rough Mappings 35
§15. Sard s Density Theorem 37
§16. Smale s Density Theorem 41
CHAPTER 4. TRANSVERSALITY THEORY
§17. Transversal ity 44
§18. Openness Theorems 46
§19. Density Theorem 47
§20. Isotopy Theorem 50
ix
x Contents
CHAPTER S. FLOWS ON MANIFOLDS
§21 . Vectorfields 55
§22. Critical Points 59
§23. Closed Orbits 63
§24. Flows Transversal to the Diagonal 67
CHAPTER 6. STABLE MANIFOLDS
§25. Pseudocharts for Closed Orbits 74
§26. Floquet Normal Form 80
§27. Stable Manifolds of a Critical Point 84
§28. Stable Manifolds of a Closed Orbit 91
CHAPTER 7. GENERIC PROPERTIES OF FLOWS
§29. Outline 95
§30. G1 Density 97
§31. G2 Density 100
§32. Perturbation Theory 106
§33. G3 Density 113
APPENDICES
A. The Whitney Extension Theorem, by Joel Robbin 120
B. Real Semialgebraic Sets, by Joel Robbin 132
C. The Stable, Center Stable, Center, Center Unstable, and Unstable Manifolds, by Al Kelley 134
Bibliography 155
Index ¦. 159
|
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| language | English |
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| spelling | Abraham, Ralph 1936- Verfasser (DE-588)115444254 aut Transversal mappings and flows Ralph Abraham ; Joel Robbin New York u.a. Benjamin 1967 X, 161 S. txt rdacontent n rdamedia nc rdacarrier Topologie différentielle Équations différentielles Differential equations Differential topology Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Transversale Abbildung (DE-588)4496348-8 gnd rswk-swf (DE-588)4145395-5 Bildband gnd-content Transversale Abbildung (DE-588)4496348-8 s DE-604 Differentialgeometrie (DE-588)4012248-7 s Robbin, Joel Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001327457&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Abraham, Ralph 1936- Robbin, Joel Transversal mappings and flows Topologie différentielle Équations différentielles Differential equations Differential topology Differentialgeometrie (DE-588)4012248-7 gnd Transversale Abbildung (DE-588)4496348-8 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4496348-8 (DE-588)4145395-5 |
| title | Transversal mappings and flows |
| title_auth | Transversal mappings and flows |
| title_exact_search | Transversal mappings and flows |
| title_full | Transversal mappings and flows Ralph Abraham ; Joel Robbin |
| title_fullStr | Transversal mappings and flows Ralph Abraham ; Joel Robbin |
| title_full_unstemmed | Transversal mappings and flows Ralph Abraham ; Joel Robbin |
| title_short | Transversal mappings and flows |
| title_sort | transversal mappings and flows |
| topic | Topologie différentielle Équations différentielles Differential equations Differential topology Differentialgeometrie (DE-588)4012248-7 gnd Transversale Abbildung (DE-588)4496348-8 gnd |
| topic_facet | Topologie différentielle Équations différentielles Differential equations Differential topology Differentialgeometrie Transversale Abbildung Bildband |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001327457&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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