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Transversal mappings and flows:

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Bibliographische Detailangaben
Beteiligte Personen:	Abraham, Ralph 1936- (VerfasserIn), Robbin, Joel (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York u.a. Benjamin 1967
Schlagwörter:	Topologie différentielle Équations différentielles Differential equations Differential topology Differentialgeometrie Transversale Abbildung Bildband
Links:	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
Umfang:	X, 161 S.

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS Preface CHAPTER 1. DIFFERENTIAL THEORY Â§1. Review of Calculus 1 Â§2. A Criterion for Smoothness 5 Â§3. Manifolds 9 Â§4. Orientation 10 $5. Vector Bundles 12 Â§6. Tangents 14 Â§7. Double Tangents 16 Â§8. Jets 19 Â§9. Linear Map Bundles 21 CHAPTER 2. SPACES OF SECTIONS Â§10. Local Mappings 23 Â§11. Continuous Sections 28 Â§12. Smooth Sections 30 CHAPTER 3. REGULAR VALUES Â§13. Extension of Smooth Mappings 33 Â§14. Composition of Rough Mappings 35 Â§15. Sard s Density Theorem 37 Â§16. Smale s Density Theorem 41 CHAPTER 4. TRANSVERSALITY THEORY Â§17. Transversal ity 44 Â§18. Openness Theorems 46 Â§19. Density Theorem 47 Â§20. Isotopy Theorem 50 ix x Contents CHAPTER S. FLOWS ON MANIFOLDS Â§21 . Vectorfields 55 Â§22. Critical Points 59 Â§23. Closed Orbits 63 Â§24. Flows Transversal to the Diagonal 67 CHAPTER 6. STABLE MANIFOLDS Â§25. Pseudocharts for Closed Orbits 74 Â§26. Floquet Normal Form 80 Â§27. Stable Manifolds of a Critical Point 84 Â§28. Stable Manifolds of a Closed Orbit 91 CHAPTER 7. GENERIC PROPERTIES OF FLOWS Â§29. Outline 95 Â§30. G1 Density 97 Â§31. G2 Density 100 Â§32. Perturbation Theory 106 Â§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 Â¦. 159
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language	English
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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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