An introduction to differential manifolds:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Pr.
2005
|
| Ausgabe: | Repr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 218 S. graph. Darst. |
| ISBN: | 1860943551 1860943543 |
Internformat
MARC
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| 245 | 1 | 0 | |a An introduction to differential manifolds |c Dennis Barden & Charles Thomas |
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| 264 | 1 | |a London |b Imperial College Pr. |c 2005 | |
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Datensatz im Suchindex
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| adam_text | CONTENTS
Preface
Chapter
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
Chapter
2.1.
2.2.
2.3.
*2.4. Whitney s Embedding Theorem Revisited
2.5.
2.6.
*2.7. Integral Curves and 1-parameter Groups of
Diffeomorphisms
2.8.
Chapter
3.1.
3.2.
3.3.
3.4.
3.5.
Chapter
4.1.
4.2.
4.3.
4.4.
4.5.
Chapter
The Exterior Derivative
5.1.
The Exterior Derivative on Em
5.2.
The Exterior Derivative on Manifolds
5.3.
Manifolds with Boundary
5.4.
Stokes Theorem
5.5.
Bubbling Forms
5.6.
Exercises for Chapter
Chapter
De Rham
6.1.
Basic Definitions
6.2.
Cochain Maps and Cochain Homotopies
6.3.
The
6.4.
The Mayer-Vietoris Sequence
6.5.
The
6.6.
The
6.7.
Homology and Submanifolds
6.8.
Exercises for Chapter
Chapter
Degrees, Indices and Related Topics
7.1.
The Degree of a Mapping
7.2.
Linking Numbers
7.3.
The Index of a Vector Field
7.4.
The Gauss Map
7.5.
Morse Functions
7.6.
The
•7.7.
Handle Decompositions
7.8.
Exercises for Chapter
Chapter
Lie Groups
8.1.
Lie Groups
8.2.
Lie Algebras
8.3.
The Exponential Map
8.4.
Maximal Tori and Cohomology
8.5.
Exercises for Chapter
sr
A Rapid Course in Differential Analysis
Prerequisites for a Course on Differential Manifolds
165
9.1.
Metric Spaces
165
9.2.
Contraction Mappings
168
9.3.
Differential Analysis
171
9.4.
The Inverse Function Theorem
176
9.5.
Sard s Theorem
179
9.6.
Modules and Algebras
182
9.7.
Tensor Products
183
9.8.
Exterior Products
184
Solutions to the Exercises
185
Guide to the Literature
205
Literature References
209
General References
211
Index
215
(*)
first reading
(t) Chapter
|
| adam_txt |
CONTENTS
Preface
Chapter
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
Chapter
2.1.
2.2.
2.3.
*2.4. Whitney's Embedding Theorem Revisited
2.5.
2.6.
*2.7. Integral Curves and 1-parameter Groups of
Diffeomorphisms
2.8.
Chapter
3.1.
3.2.
3.3.
3.4.
3.5.
Chapter
4.1.
4.2.
4.3.
4.4.
4.5.
Chapter
The Exterior Derivative
5.1.
The Exterior Derivative on Em
5.2.
The Exterior Derivative on Manifolds
5.3.
Manifolds with Boundary
5.4.
Stokes' Theorem
5.5.
Bubbling Forms
5.6.
Exercises for Chapter
Chapter
De Rham
6.1.
Basic Definitions
6.2.
Cochain Maps and Cochain Homotopies
6.3.
The
6.4.
The Mayer-Vietoris Sequence
6.5.
The
6.6.
The
6.7.
Homology and Submanifolds
6.8.
Exercises for Chapter
Chapter
Degrees, Indices and Related Topics
7.1.
The Degree of a Mapping
7.2.
Linking Numbers
7.3.
The Index of a Vector Field
7.4.
The Gauss Map
7.5.
Morse Functions
7.6.
The
•7.7.
Handle Decompositions
7.8.
Exercises for Chapter
Chapter
Lie Groups
8.1.
Lie Groups
8.2.
Lie Algebras
8.3.
The Exponential Map
8.4.
Maximal Tori and Cohomology
8.5.
Exercises for Chapter
sr
A Rapid Course in Differential Analysis
Prerequisites for a Course on Differential Manifolds
165
9.1.
Metric Spaces
165
9.2.
Contraction Mappings
168
9.3.
Differential Analysis
171
9.4.
The Inverse Function Theorem
176
9.5.
Sard's Theorem
179
9.6.
Modules and Algebras
182
9.7.
Tensor Products
183
9.8.
Exterior Products
184
Solutions to the Exercises
185
Guide to the Literature
205
Literature References
209
General References
211
Index
215
(*)
first reading
(t) Chapter |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Barden, Dennis Thomas, Charles |
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| dewey-full | 516.36 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | Repr. |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:28:54Z |
| indexdate | 2024-07-09T20:57:25Z |
| institution | BVB |
| isbn | 1860943551 1860943543 |
| language | English |
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| oclc_num | 255439801 |
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| spelling | Barden, Dennis Verfasser aut An introduction to differential manifolds Dennis Barden & Charles Thomas Repr. London Imperial College Pr. 2005 XI, 218 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Differenzierbare Mannigfaltigkeit Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s DE-604 Thomas, Charles Verfasser aut Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015638179&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barden, Dennis Thomas, Charles An introduction to differential manifolds Differenzierbare Mannigfaltigkeit Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| subject_GND | (DE-588)4012269-4 (DE-588)4151278-9 |
| title | An introduction to differential manifolds |
| title_auth | An introduction to differential manifolds |
| title_exact_search | An introduction to differential manifolds |
| title_exact_search_txtP | An introduction to differential manifolds |
| title_full | An introduction to differential manifolds Dennis Barden & Charles Thomas |
| title_fullStr | An introduction to differential manifolds Dennis Barden & Charles Thomas |
| title_full_unstemmed | An introduction to differential manifolds Dennis Barden & Charles Thomas |
| title_short | An introduction to differential manifolds |
| title_sort | an introduction to differential manifolds |
| topic | Differenzierbare Mannigfaltigkeit Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd |
| topic_facet | Differenzierbare Mannigfaltigkeit Einführung |
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