Real and abstract analysis: a modern treatment of the theory of functions of a real variable
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1969
|
| Ausgabe: | 2. print., corr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 476 S. Ill. |
Internformat
MARC
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1969 | |
| 300 | |a VIII, 476 S. |b Ill. | ||
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Datensatz im Suchindex
| _version_ | 1804117094777749504 |
|---|---|
| adam_text | Table of Contents
Preface V
Chapter One: Set Theory and Algebra 1
Section 1. The algebra of sets 1
Section 2. Relations and functions 7
Section 3. The axiom of choice and some equivalents 12
Section 4. Cardinal numbers and ordinal numbers 19
Section 5. Construction of the real and complex number fields 32
Chapter Two: Topology and Continuous Functions 53
Section 6. Topological preliminaries 53
Section 7. Spaces of continuous functions 81
Chapter Three: The Lebesgue Integral 104
Section 8. The Riemann Stieltjes integral 105
Section 9. Extending certain functionals 114
Section 10. Measures and measurable sets 125
Section 11. Measurable functions 148
Section 12. The abstract Lebesgue integral 164
Chapter Four: Function Spaces and Banach Spaces 188
Section 13. The spaces 2p(l p oo) 188
Section 14. Abstract Banach spaces 209
Section 15. The conjugate space of 2,(1 p oo) 222
Section 16. Abstract Hilbert spaces 234
Chapter Five: Differentiation 256
Section 17. Differentiable and nondifferentiable functions 256
Section 18. Absolutely continuous functions 272
Section 19. Complex measures and the Lebesgue Radon Nikod*m theorem 304
Section 20. Applications of the Lebesgue Radon Nikod^m theorem . . .341
Chapter Six: Integration on Product Spaces 377
Section 21. The product of two measure spaces 377
Section 22. Products of infinitely many measure spaces 429
Index of Symbols 460
Index of Authors and Terms 462
|
| any_adam_object | 1 |
| author | Hewitt, Edwin 1920-1999 Stromberg, Karl R. 1931-1994 |
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| author_sort | Hewitt, Edwin 1920-1999 |
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| building | Verbundindex |
| bvnumber | BV002741837 |
| classification_rvk | QH 150 SK 400 SK 430 |
| ctrlnum | (OCoLC)73788120 (DE-599)BVBBV002741837 |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. print., corr. |
| format | Book |
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| genre | Analytische Struktur gnd |
| genre_facet | Analytische Struktur |
| id | DE-604.BV002741837 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:48:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001753082 |
| oclc_num | 73788120 |
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| physical | VIII, 476 S. Ill. |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Springer |
| record_format | marc |
| spelling | Hewitt, Edwin 1920-1999 Verfasser (DE-588)117712434 aut Real and abstract analysis a modern treatment of the theory of functions of a real variable by Edwin Hewitt and Karl Stromberg 2. print., corr. Berlin [u.a.] Springer 1969 VIII, 476 S. Ill. txt rdacontent n rdamedia nc rdacarrier Analysis (DE-588)4001865-9 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Reelle Funktion (DE-588)4048918-8 gnd rswk-swf Analytische Struktur gnd rswk-swf Analytische Struktur f DE-604 Reelle Analysis (DE-588)4627581-2 s Analysis (DE-588)4001865-9 s Reelle Funktion (DE-588)4048918-8 s 1\p DE-604 Stromberg, Karl R. 1931-1994 Verfasser (DE-588)105811041 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753082&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 | Hewitt, Edwin 1920-1999 Stromberg, Karl R. 1931-1994 Real and abstract analysis a modern treatment of the theory of functions of a real variable Analysis (DE-588)4001865-9 gnd Reelle Analysis (DE-588)4627581-2 gnd Reelle Funktion (DE-588)4048918-8 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4627581-2 (DE-588)4048918-8 |
| title | Real and abstract analysis a modern treatment of the theory of functions of a real variable |
| title_auth | Real and abstract analysis a modern treatment of the theory of functions of a real variable |
| title_exact_search | Real and abstract analysis a modern treatment of the theory of functions of a real variable |
| title_full | Real and abstract analysis a modern treatment of the theory of functions of a real variable by Edwin Hewitt and Karl Stromberg |
| title_fullStr | Real and abstract analysis a modern treatment of the theory of functions of a real variable by Edwin Hewitt and Karl Stromberg |
| title_full_unstemmed | Real and abstract analysis a modern treatment of the theory of functions of a real variable by Edwin Hewitt and Karl Stromberg |
| title_short | Real and abstract analysis |
| title_sort | real and abstract analysis a modern treatment of the theory of functions of a real variable |
| title_sub | a modern treatment of the theory of functions of a real variable |
| topic | Analysis (DE-588)4001865-9 gnd Reelle Analysis (DE-588)4627581-2 gnd Reelle Funktion (DE-588)4048918-8 gnd |
| topic_facet | Analysis Reelle Analysis Reelle Funktion Analytische Struktur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753082&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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