A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable:
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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, pages 303-617) |
| ISBN: | 9781139424509 |
| DOI: | 10.1017/CBO9781139424509 |
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Datensatz im Suchindex
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| dewey-full | 514/.325 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.325 |
| dewey-search | 514/.325 |
| dewey-sort | 3514 3325 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139424509 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
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| isbn | 9781139424509 |
| language | English |
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| spelling | Garling, D. J. H. Verfasser aut A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable D. J. H. Garling Cambridge Cambridge University Press 2013 1 online resource (x, pages 303-617) 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration Metric spaces Vector valued functions Topological spaces Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Erscheint auch als Druckausgabe 978-1-107-03203-3 Erscheint auch als Druckausgabe 978-1-107-67532-2 https://doi.org/10.1017/CBO9781139424509 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Garling, D. J. H. A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable Metric spaces Vector valued functions Topological spaces Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable |
| title_auth | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable |
| title_exact_search | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable |
| title_full | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable D. J. H. Garling |
| title_fullStr | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable D. J. H. Garling |
| title_full_unstemmed | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable D. J. H. Garling |
| title_short | A course in mathematical analysis, Volume 2, Metric and topological spaces, functions of a vector variable |
| title_sort | a course in mathematical analysis volume 2 metric and topological spaces functions of a vector variable |
| topic | Metric spaces Vector valued functions Topological spaces Analysis (DE-588)4001865-9 gnd |
| topic_facet | Metric spaces Vector valued functions Topological spaces Analysis |
| url | https://doi.org/10.1017/CBO9781139424509 |
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