Differential topology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
AMS Chelsea Publishing
2010
|
| Ausgabe: | [Nachdr. der Ausg. Englewood Cliffs, N.J., 1974] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index; Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | xviii, 222 Seiten Illustrationen, Diagramme |
| ISBN: | 9780821851937 0821851934 |
Internformat
MARC
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| 100 | 1 | |a Guillemin, Victor |d 1937- |e Verfasser |0 (DE-588)12110172X |4 aut | |
| 245 | 1 | 0 | |a Differential topology |c Victor Guillemin, Alan Pollack |
| 250 | |a [Nachdr. der Ausg. Englewood Cliffs, N.J., 1974] | ||
| 264 | 1 | |a Providence, Rhode Island |b AMS Chelsea Publishing |c 2010 | |
| 300 | |a xviii, 222 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index; Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Differential topology | |
| 650 | 0 | 7 | |a Differentialtopologie |0 (DE-588)4012255-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialtopologie |0 (DE-588)4012255-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Pollack, Alan |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1135-0 |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020449746 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804143103571918848 |
|---|---|
| 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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| bvnumber | BV036527890 |
| 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 | 2024-07-09T22:42:20Z |
| institution | BVB |
| isbn | 9780821851937 0821851934 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020449746 |
| oclc_num | 699662419 |
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| physical | xviii, 222 Seiten Illustrationen, Diagramme |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | AMS Chelsea Publishing |
| record_format | marc |
| spelling | Guillemin, Victor 1937- Verfasser (DE-588)12110172X aut Differential topology Victor Guillemin, Alan Pollack [Nachdr. der Ausg. Englewood Cliffs, N.J., 1974] Providence, Rhode Island AMS Chelsea Publishing 2010 xviii, 222 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index; Hier auch später erschienene, unveränderte Nachdrucke Differential topology Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 s DE-604 Mannigfaltigkeit (DE-588)4037379-4 s 1\p DE-604 Pollack, Alan Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4704-1135-0 Digitalisierung UB Regensburg application/pdf 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 Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| 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 |