A course in mathematical analysis, Volume 1, Foundations and elementary real analysis:
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 their first two or three years of study. Containing hundreds of exercises, examples and a...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
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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 their 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. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 covers complex analysis and the theory of measure and integration |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvi, 300 pages) |
| ISBN: | 9781139424493 |
| DOI: | 10.1017/CBO9781139424493 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9781139424493 |
| 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 1, Foundations and elementary real analysis D. J. H. Garling Cambridge Cambridge University Press 2013 1 online resource (xvi, 300 pages) 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 their 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. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 covers complex analysis and the theory of measure and integration Mathematical analysis Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 s DE-604 Erscheint auch als Druckausgabe 978-1-107-03202-6 Erscheint auch als Druckausgabe 978-1-107-61418-5 https://doi.org/10.1017/CBO9781139424493 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Garling, D. J. H. A course in mathematical analysis, Volume 1, Foundations and elementary real analysis Mathematical analysis Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4627581-2 |
| title | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis |
| title_auth | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis |
| title_exact_search | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis |
| title_full | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis D. J. H. Garling |
| title_fullStr | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis D. J. H. Garling |
| title_full_unstemmed | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis D. J. H. Garling |
| title_short | A course in mathematical analysis, Volume 1, Foundations and elementary real analysis |
| title_sort | a course in mathematical analysis volume 1 foundations and elementary real analysis |
| topic | Mathematical analysis Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Mathematical analysis Reelle Analysis |
| url | https://doi.org/10.1017/CBO9781139424493 |
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