Measure and Integral: Volume 1
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1988
|
| Series: | Graduate Texts in Mathematics
116 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This is a systematic exposition of the basic part of the theory of mea sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in tegration for R Each chapter is generally followed by one or more supplements. These, comprising over a third of the book, require some what more mathematical background and maturity than the body of the text (in particular, some knowledge of general topology is assumed) and the presentation is a little more brisk and informal. The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups. Most of the results expounded here are conventional in general character, if not in detail, but the methods are less so. The following brief overview may clarify this assertion |
| Physical Description: | 1 Online-Ressource (X, 150 p) |
| ISBN: | 9781461245704 9781461289289 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-4570-4 |
Staff View
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Record in the Search Index
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461245704 9781461289289 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855732 |
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| physical | 1 Online-Ressource (X, 150 p) |
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| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Kelley, John L. Verfasser aut Measure and Integral Volume 1 by John L. Kelley, T. P. Srinivasan New York, NY Springer New York 1988 1 Online-Ressource (X, 150 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 116 0072-5285 This is a systematic exposition of the basic part of the theory of mea sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in tegration for R Each chapter is generally followed by one or more supplements. These, comprising over a third of the book, require some what more mathematical background and maturity than the body of the text (in particular, some knowledge of general topology is assumed) and the presentation is a little more brisk and informal. The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups. Most of the results expounded here are conventional in general character, if not in detail, but the methods are less so. The following brief overview may clarify this assertion Mathematics Global analysis (Mathematics) Analysis Mathematik Srinivasan, T. P. Sonstige oth https://doi.org/10.1007/978-1-4612-4570-4 Verlag Volltext |
| spellingShingle | Kelley, John L. Measure and Integral Volume 1 Mathematics Global analysis (Mathematics) Analysis Mathematik |
| title | Measure and Integral Volume 1 |
| title_auth | Measure and Integral Volume 1 |
| title_exact_search | Measure and Integral Volume 1 |
| title_full | Measure and Integral Volume 1 by John L. Kelley, T. P. Srinivasan |
| title_fullStr | Measure and Integral Volume 1 by John L. Kelley, T. P. Srinivasan |
| title_full_unstemmed | Measure and Integral Volume 1 by John L. Kelley, T. P. Srinivasan |
| title_short | Measure and Integral |
| title_sort | measure and integral volume 1 |
| title_sub | Volume 1 |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik |
| url | https://doi.org/10.1007/978-1-4612-4570-4 |
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