Real and functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer-Verlag
1993
|
| Ausgabe: | Third Edition, [softcover reprint of the hardcover 3rd edition] |
| Schriftenreihe: | Graduate texts in mathematics
142 |
| Schlagworte: | |
| Online-Zugang: | FUBA1 Volltext |
| Beschreibung: | This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this third edition, I have reorganized the book by covering integration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investigations, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results |
| Beschreibung: | 1 Online-Ressource (xiv, 580 Seiten) |
| ISBN: | 9781461208976 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0897-6 |
Internformat
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Datensatz im Suchindex
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| author | Lang, Serge 1927-2005 |
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| author_facet | Lang, Serge 1927-2005 |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0897-6 |
| edition | Third Edition, [softcover reprint of the hardcover 3rd edition] |
| format | Electronic eBook |
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| id | DE-604.BV042419666 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461208976 |
| issn | 0072-5285 |
| language | English |
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| oclc_num | 1184334131 |
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| physical | 1 Online-Ressource (xiv, 580 Seiten) |
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| publishDate | 1993 |
| publishDateSearch | 1993 |
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| publisher | Springer-Verlag |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Real and functional analysis Serge Lang Third Edition, [softcover reprint of the hardcover 3rd edition] Berlin, Heidelberg Springer-Verlag 1993 1 Online-Ressource (xiv, 580 Seiten) txt rdacontent c rdamedia cr rdacarrier Graduate texts in mathematics 142 0072-5285 This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this third edition, I have reorganized the book by covering integration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investigations, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-4612-6938-0 (DE-604)BV007731199 Erscheint auch als Druck-Ausgabe, Paperback 0-387-94001-4 (DE-604)BV007731199 Erscheint auch als Druck-Ausgabe, Paperback 3-540-94001-4 (DE-604)BV007731199 Graduate texts in mathematics 142 (DE-604)BV035421258 142 https://doi.org/10.1007/978-1-4612-0897-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge 1927-2005 Real and functional analysis Graduate texts in mathematics Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4018916-8 |
| title | Real and functional analysis |
| title_auth | Real and functional analysis |
| title_exact_search | Real and functional analysis |
| title_full | Real and functional analysis Serge Lang |
| title_fullStr | Real and functional analysis Serge Lang |
| title_full_unstemmed | Real and functional analysis Serge Lang |
| title_short | Real and functional analysis |
| title_sort | real and functional analysis |
| topic | Mathematics Real Functions Mathematik Analysis (DE-588)4001865-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Mathematics Real Functions Mathematik Analysis Funktionalanalysis |
| url | https://doi.org/10.1007/978-1-4612-0897-6 |
| volume_link | (DE-604)BV035421258 |
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