A concise introduction to the theory of integration:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Birkhäuser
1994
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 184 S. |
| ISBN: | 3764337591 0817637591 |
Staff View
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| 245 | 1 | 0 | |a A concise introduction to the theory of integration |c Daniel W. Stroock |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Boston u.a. |b Birkhäuser |c 1994 | |
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Record in the Search Index
| _version_ | 1804123969288142848 |
|---|---|
| adam_text | Contents
Preface vii
Chapter I: The Classical Theory 1
1.1: Riemann Integration 1
1.2: Riemann Stieltjes Integration 7
Chapter II: Lebesgue s Measure 19
2.0: The Idea 19
2.1: Existence 21
2.2: Euclidean Invariance 30
Chapter III: Lebesgue Integration 34
3.1: Measure Spaces 34
3.2: Construction of Integrals 40
3.3: Convergence of Integrals 50
3.4: Lebesgue s Differentiation Theorem 62
Chapter IV: Products of Measures 68
4.1: Fubini s Theorem 68
4.2: Steiner Symmetrization and the Isodiametric Inequality .... 74
Chapter V: Changes of Variable 80
5.0: Introduction 80
5.1: Lebesgue Integrals vs. Riemann Integrals 81
5.2: Polar Coordinates 85
5.3: Jacobi s Transformation and Surface Measure 89
5.4: The Divergence Theorem 103
Chapter VI: Some Basic Inequalities 114
6.1: Jensen, Minkowski, and Holder 114
6.2: The Lebesgue Spaces 119
6.3: Convolution and Approximate Identities 131
Chapter VII: A Little Abstract Theory 139
7.1: An Existence Theorem 139
7.2: Hilbert Space and the Radon Nikodym Theorem 151
Notation 159
vi Contents
Index 162
Solution to Selected Problems 166
|
| any_adam_object | 1 |
| author | Stroock, Daniel W. 1940- |
| author_GND | (DE-588)130519561 |
| author_facet | Stroock, Daniel W. 1940- |
| author_role | aut |
| author_sort | Stroock, Daniel W. 1940- |
| author_variant | d w s dw dws |
| building | Verbundindex |
| bvnumber | BV009628960 |
| callnumber-first | Q - Science |
| callnumber-label | QA312 |
| callnumber-raw | QA312.S78 1994 |
| callnumber-search | QA312.S78 1994 |
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| callnumber-subject | QA - Mathematics |
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| dewey-full | 515/.4 515/.420 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.4 515/.4 20 |
| dewey-search | 515/.4 515/.4 20 |
| dewey-sort | 3515 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV009628960 |
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| indexdate | 2024-07-09T17:38:13Z |
| institution | BVB |
| isbn | 3764337591 0817637591 |
| language | English |
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| physical | VIII, 184 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | Birkhäuser |
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| spelling | Stroock, Daniel W. 1940- Verfasser (DE-588)130519561 aut A concise introduction to the theory of integration Daniel W. Stroock 2. ed. Boston u.a. Birkhäuser 1994 VIII, 184 S. txt rdacontent n rdamedia nc rdacarrier Calcul intégral ram Intégrales généralisées ram Mesure, Théorie de la ram Integrals, Generalized Measure theory Maßtheorie (DE-588)4074626-4 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Integration Mathematik (DE-588)4072852-3 s DE-604 Maßtheorie (DE-588)4074626-4 s Integrationstheorie (DE-588)4138369-2 s 1\p DE-604 Integralrechnung (DE-588)4027232-1 s 2\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006363734&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stroock, Daniel W. 1940- A concise introduction to the theory of integration Calcul intégral ram Intégrales généralisées ram Mesure, Théorie de la ram Integrals, Generalized Measure theory Maßtheorie (DE-588)4074626-4 gnd Integralrechnung (DE-588)4027232-1 gnd Integration Mathematik (DE-588)4072852-3 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| subject_GND | (DE-588)4074626-4 (DE-588)4027232-1 (DE-588)4072852-3 (DE-588)4138369-2 (DE-588)4151278-9 |
| title | A concise introduction to the theory of integration |
| title_auth | A concise introduction to the theory of integration |
| title_exact_search | A concise introduction to the theory of integration |
| title_full | A concise introduction to the theory of integration Daniel W. Stroock |
| title_fullStr | A concise introduction to the theory of integration Daniel W. Stroock |
| title_full_unstemmed | A concise introduction to the theory of integration Daniel W. Stroock |
| title_short | A concise introduction to the theory of integration |
| title_sort | a concise introduction to the theory of integration |
| topic | Calcul intégral ram Intégrales généralisées ram Mesure, Théorie de la ram Integrals, Generalized Measure theory Maßtheorie (DE-588)4074626-4 gnd Integralrechnung (DE-588)4027232-1 gnd Integration Mathematik (DE-588)4072852-3 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| topic_facet | Calcul intégral Intégrales généralisées Mesure, Théorie de la Integrals, Generalized Measure theory Maßtheorie Integralrechnung Integration Mathematik Integrationstheorie Einführung |
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