Analysis on real and complex manifolds
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Paris
Masson [u.a.]
1973
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Advanced studies in pure mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
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| 100 | 1 | |a Narasimhan, Raghavan |d 1937- |e Verfasser |0 (DE-588)107634015 |4 aut | |
| 245 | 1 | 0 | |a Analysis on real and complex manifolds |c Raghavan Narasimhan |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Paris |b Masson [u.a.] |c 1973 | |
| 300 | |a X, 246 S. | ||
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| 650 | 4 | |a Variétés différentiables | |
| 650 | 7 | |a Variétés différentiables |2 ram | |
| 650 | 4 | |a Complex manifolds | |
| 650 | 4 | |a Differentiable manifolds | |
| 650 | 4 | |a Differential operators | |
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Datensatz im Suchindex
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| adam_text | Contents
Editorial note V
Preface VII
Chapter 1. Differentiable functions in R 1
§ 1.1 Taylor s formula 2
§1.2 Partitions of unity 11
§ 1.3 Inverse functions, implicit functions and the rank
theorem 13
§1.4 Sard s theorem and functional dependence .... 19
§1.5 Borel s theorem on Taylor series 28
§1.6 Whitney s approximation theorem 31
§ 1.7 An approximation theorem for holomorphic func¬
tions 38
§ 1.8 Ordinary differential equations 43
Chapter 2. Manifolds 52
§ 2.1 Basic definitions 52
§2.2 The tangent and cotangent bundles 60
§ 2.3 Grassmann manifolds 66
§ 2.4 Vector fields and differential forms 69
§ 2.5 Submanifolds 80
§ 2.6 Exterior differentiation 86
§ 2.7 Orientation 94
§ 2.8 Manifolds with boundary 96
§2.9 Integration 100
X CONTENTS
§ 2.10 One parameter groups 106
§2.11 The Frobenius theorem 112
§2.12 Almost complex manifolds 122
§2.13 The lemmata of Poincare and Grothendieck. ... 128
§2.14 Applications: Hartogs continuation theorem and
the Oka-Weil theorem 134
§2.15 Immersions and imbeddings: Whitney s theorems . 141
§2.16 Thorn s transversality theorem 150
Chapter 3. Linear elliptic differential operators . 155
§3.1 Vector bundles 155
§3.2 Fourier transforms 164
§3.3 Linear differential operators 171
§ 3.4 The Sobolev spaces 184
§ 3.5 The lemmata of Rellich and Sobolev 191
§ 3.6 The inequalities of Garding and Friedrichs .... 200
§ 3.7 Elliptic operators with C°° coefficients: the regular¬
ity theorem 211
§ 3.8 Elliptic operators with analytic coefficients .... 218
§ 3.9 The finiteness theorem 226
§3.10 The approximation theorem and its application to
open Riemann surfaces 234
References 242
Subject index 245
Contents
Editorial note V
Preface VII
Chapter 1. Differentiable functions in R 1
§ 1.1 Taylor s formula 2
§1.2 Partitions of unity 11
§ 1.3 Inverse functions, implicit functions and the rank
theorem 13
§1.4 Sard s theorem and functional dependence .... 19
§1.5 Borel s theorem on Taylor series 28
§1.6 Whitney s approximation theorem 31
§ 1.7 An approximation theorem for holomorphic func¬
tions 38
§ 1.8 Ordinary differential equations 43
Chapter 2. Manifolds 52
§ 2.1 Basic definitions 52
§2.2 The tangent and cotangent bundles 60
§ 2.3 Grassmann manifolds 66
§ 2.4 Vector fields and differential forms 69
§ 2.5 Submanifolds 80
§ 2.6 Exterior differentiation 86
§ 2.7 Orientation 94
§ 2.8 Manifolds with boundary 96
§2.9 Integration 100
X CONTENTS
§ 2.10 One parameter groups 106
§2.11 The Frobenius theorem 112
§2.12 Almost complex manifolds 122
§2.13 The lemmata of Poincare and Grothendieck. ... 128
§2.14 Applications: Hartogs continuation theorem and
the Oka Weil theorem 134
§2.15 Immersions and imbeddings: Whitney s theorems . 141
§2.16 Thorn s transversality theorem 150
Chapter 3. Linear elliptic differential operators . 155
§3.1 Vector bundles 155
§3.2 Fourier transforms 164
§3.3 Linear differential operators 171
§ 3.4 The Sobolev spaces 184
§ 3.5 The lemmata of Rellich and Sobolev 191
§ 3.6 The inequalities of Garding and Friedrichs .... 200
§ 3.7 Elliptic operators with C°° coefficients: the regular¬
ity theorem 211
§ 3.8 Elliptic operators with analytic coefficients .... 218
§ 3.9 The finiteness theorem 226
§3.10 The approximation theorem and its application to
open Riemann surfaces 234
References 242
Subject index 245
|
| any_adam_object | 1 |
| author | Narasimhan, Raghavan 1937- |
| author_GND | (DE-588)107634015 |
| author_facet | Narasimhan, Raghavan 1937- |
| author_role | aut |
| author_sort | Narasimhan, Raghavan 1937- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.36 |
| dewey-search | 516/.36 |
| dewey-sort | 3516 236 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV005675010 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T16:44:36Z |
| institution | BVB |
| isbn | 0720425018 0444104526 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003545971 |
| oclc_num | 967264 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-188 DE-355 DE-BY-UBR DE-824 DE-706 |
| owner_facet | DE-703 DE-20 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-188 DE-355 DE-BY-UBR DE-824 DE-706 |
| physical | X, 246 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Masson [u.a.] |
| record_format | marc |
| series | Advanced studies in pure mathematics |
| series2 | Advanced studies in pure mathematics |
| spellingShingle | Narasimhan, Raghavan 1937- Analysis on real and complex manifolds Advanced studies in pure mathematics Analyse mathématique ram Opérateurs différentiels Opérateurs différentiels ram Topologie différentielle ram Variétés complexes Variétés complexes ram Variétés différentiables Variétés différentiables ram Complex manifolds Differentiable manifolds Differential operators Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Analysis (DE-588)4001865-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Differentialoperator (DE-588)4012251-7 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4012269-4 (DE-588)4001865-9 (DE-588)4037379-4 (DE-588)4031996-9 (DE-588)4012251-7 (DE-588)4018916-8 |
| title | Analysis on real and complex manifolds |
| title_auth | Analysis on real and complex manifolds |
| title_exact_search | Analysis on real and complex manifolds |
| title_full | Analysis on real and complex manifolds Raghavan Narasimhan |
| title_fullStr | Analysis on real and complex manifolds Raghavan Narasimhan |
| title_full_unstemmed | Analysis on real and complex manifolds Raghavan Narasimhan |
| title_short | Analysis on real and complex manifolds |
| title_sort | analysis on real and complex manifolds |
| topic | Analyse mathématique ram Opérateurs différentiels Opérateurs différentiels ram Topologie différentielle ram Variétés complexes Variétés complexes ram Variétés différentiables Variétés différentiables ram Complex manifolds Differentiable manifolds Differential operators Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Analysis (DE-588)4001865-9 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Differentialoperator (DE-588)4012251-7 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Analyse mathématique Opérateurs différentiels Topologie différentielle Variétés complexes Variétés différentiables Complex manifolds Differentiable manifolds Differential operators Differenzierbare Mannigfaltigkeit Analysis Mannigfaltigkeit Komplexe Mannigfaltigkeit Differentialoperator Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003545971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003545971&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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