Verfügbarkeit: Differential topology | Technische Universität München

Differential topology:

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Bibliographische Detailangaben
Beteiligte Personen:	Guillemin, Victor 1937- (VerfasserIn), Pollack, Alan (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Providence, Rhode Island AMS Chelsea Publishing 2010
Ausgabe:	[Nachdr. der Ausg. Englewood Cliffs, N.J., 1974]
Schlagwörter:	Differential topology Differentialtopologie Mannigfaltigkeit
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020449746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes bibliographical references and index; Hier auch später erschienene, unveränderte Nachdrucke
Umfang:	xviii, 222 Seiten Illustrationen, Diagramme
ISBN:	9780821851937 0821851934

Internformat

MARC


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Datensatz im Suchindex

DE-BY-TUM_call_number	0048 MAT 576f 2001 A 9784(1,2010)
DE-BY-TUM_katkey	1762830
DE-BY-TUM_location	LSB
DE-BY-TUM_media_number	040010207600
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adam_text	Contents Prefaces ix, xi Straight Forward to the Student xv Table of Symbols xvii CHAPTER 1 Manifolds and Smooth Maps 1 §1 Definitions 1 §2 Derivatives and Tangents 8 §3 The Inverse Function Theorem and. Immersions 13 §4 Submersions 20 §5 Transversality 27 §6 HoMOTOpy and Stability 33 §7 Sard s Theorem and Morse Functions 39 §8 Embedding Manifolds in Eucudean Space 48 Contents CHAPTER 2 Transversality and Intersection 57 §1 Manifolds with Boundary 57 §2 One-Manifolds and Some Consequences 64 §3 Transversality 67 §4 Intersection Theory Mod 2 77 §5 Winding Numbers and the Jordan-Brouwer Separation Theorem 85 §6 The Borsuk-Ulam Theorem 91 CHAPTER W Oriented intersection Theory 94 §1 Motivation 94 §2 Orientation 95 §3 Oriented Intersection Number 107 §4 Lefschetz Fixed-Point Theory 119 §5 Vector Fields and the Poincaré-Hopf Theorem 132 §6 The Hopf Degree Theorem 141 §7 The Euler Characteristic and Triangulations 148 CHAPTER ПГ Integration on Manifolds 151 §1 Introduction 151 §2 Exterior Algebra 153 §3 Differential Forms 162 §4 Integration on Manifolds 165 §5 Exterior Derivative 174 §6 Cohomology wrra Forms 178 §7 Stokes Theorem 182 §8 Integration and Mappings 188 Ρ The Gauss-Bonnet Theorem 194 Contents vii APPENDIX 1 Measure Zero and Sard s Theorem 202 APPENDIX 2 Classification of Compact One-Manifolds 208 Bibliography 212 Index 217
any_adam_object	1
author	Guillemin, Victor 1937- Pollack, Alan
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author_facet	Guillemin, Victor 1937- Pollack, Alan
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classification_rvk	SK 300 SK 350
ctrlnum	(OCoLC)699662419 (DE-599)BVBBV036527890
discipline	Mathematik
edition	[Nachdr. der Ausg. Englewood Cliffs, N.J., 1974]
format	Book
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id	DE-604.BV036527890
illustrated	Illustrated
indexdate	2024-12-20T14:36:24Z
institution	BVB
isbn	9780821851937 0821851934
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-020449746
oclc_num	699662419
open_access_boolean
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physical	xviii, 222 Seiten Illustrationen, Diagramme
publishDate	2010
publishDateSearch	2010
publishDateSort	2010
publisher	AMS Chelsea Publishing
record_format	marc
spellingShingle	Guillemin, Victor 1937- Pollack, Alan Differential topology Differential topology Differentialtopologie (DE-588)4012255-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd
subject_GND	(DE-588)4012255-4 (DE-588)4037379-4
title	Differential topology
title_auth	Differential topology
title_exact_search	Differential topology
title_full	Differential topology Victor Guillemin, Alan Pollack
title_fullStr	Differential topology Victor Guillemin, Alan Pollack
title_full_unstemmed	Differential topology Victor Guillemin, Alan Pollack
title_short	Differential topology
title_sort	differential topology
topic	Differential topology Differentialtopologie (DE-588)4012255-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd
topic_facet	Differential topology Differentialtopologie Mannigfaltigkeit
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020449746&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT guilleminvictor differentialtopology AT pollackalan differentialtopology

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Signatur:	0048 MAT 576f 2001 A 9784(1,2010) Lageplan
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