A course in mathematical analysis, Volume 3, Complex analysis, measure and integration:
The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and app...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2014
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| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (x, pages 627-939) |
| ISBN: | 9781139424516 |
| DOI: | 10.1017/CBO9781139424516 |
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| id | DE-604.BV043945907 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9781139424516 |
| language | English |
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| publisher | Cambridge University Press |
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| spelling | Garling, D. J. H. Verfasser aut A course in mathematical analysis, Volume 3, Complex analysis, measure and integration D. J. H. Garling Cambridge Cambridge University Press 2014 1 online resource (x, pages 627-939) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The Radon–Nikodym theorem is proved, and the differentiation of measures discussed Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Erscheint auch als Druckausgabe 978-1-107-03204-0 Erscheint auch als Druckausgabe 978-1-107-66330-5 https://doi.org/10.1017/CBO9781139424516 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Garling, D. J. H. A course in mathematical analysis, Volume 3, Complex analysis, measure and integration Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration |
| title_auth | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration |
| title_exact_search | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration |
| title_full | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration D. J. H. Garling |
| title_fullStr | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration D. J. H. Garling |
| title_full_unstemmed | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration D. J. H. Garling |
| title_short | A course in mathematical analysis, Volume 3, Complex analysis, measure and integration |
| title_sort | a course in mathematical analysis volume 3 complex analysis measure and integration |
| topic | Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematical analysis Analysis |
| url | https://doi.org/10.1017/CBO9781139424516 |
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