Elements of Functional Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1999
|
| Schriftenreihe: | Graduate Texts in Mathematics
192 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book arose from a course taught for several years at the University of Evry-Val d'Essonne. It is meant primarily for graduate students in mathematics. To make it into a useful tool, appropriate to their knowledge level, prerequisites have been reduced to a minimum: essentially, basic concepts of topology of metric spaces and in particular of normed spaces (convergence of sequences, continuity, compactness, completeness), of "abstract" integration theory with respect to a measure (especially Lebesgue measure), and of differential calculus in several variables. The book may also help more advanced students and researchers perfect their knowledge of certain topics. The index and the relative independence of the chapters should make this type of usage easy. The important role played by exercises is one of the distinguishing features of this work. The exercises are very numerous and written in detail, with hints that should allow the reader to overcome any difficulty. Answers that do not appear in the statements are collected at the end of the volume. There are also many simple application exercises to test the reader's understanding of the text, and exercises containing examples and counterexamples, applications of the main results from the text, or digressions to introduce new concepts and present important applications. Thus the text and the exercises are intimately connected and complement each other |
| Beschreibung: | 1 Online-Ressource (XIV, 396 p) |
| ISBN: | 9781461214441 9781461271468 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-1444-1 |
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Datensatz im Suchindex
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1444-1 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461214441 9781461271468 |
| issn | 0072-5285 |
| language | English |
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| spelling | Hirsch, Francis Verfasser aut Elements of Functional Analysis by Francis Hirsch, Gilles Lacombe New York, NY Springer New York 1999 1 Online-Ressource (XIV, 396 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 192 0072-5285 This book arose from a course taught for several years at the University of Evry-Val d'Essonne. It is meant primarily for graduate students in mathematics. To make it into a useful tool, appropriate to their knowledge level, prerequisites have been reduced to a minimum: essentially, basic concepts of topology of metric spaces and in particular of normed spaces (convergence of sequences, continuity, compactness, completeness), of "abstract" integration theory with respect to a measure (especially Lebesgue measure), and of differential calculus in several variables. The book may also help more advanced students and researchers perfect their knowledge of certain topics. The index and the relative independence of the chapters should make this type of usage easy. The important role played by exercises is one of the distinguishing features of this work. The exercises are very numerous and written in detail, with hints that should allow the reader to overcome any difficulty. Answers that do not appear in the statements are collected at the end of the volume. There are also many simple application exercises to test the reader's understanding of the text, and exercises containing examples and counterexamples, applications of the main results from the text, or digressions to introduce new concepts and present important applications. Thus the text and the exercises are intimately connected and complement each other Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s 1\p DE-604 Lacombe, Gilles Sonstige oth Graduate Texts in Mathematics 192 (DE-604)BV035421258 192 https://doi.org/10.1007/978-1-4612-1444-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hirsch, Francis Elements of Functional Analysis Graduate Texts in Mathematics Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 |
| title | Elements of Functional Analysis |
| title_auth | Elements of Functional Analysis |
| title_exact_search | Elements of Functional Analysis |
| title_full | Elements of Functional Analysis by Francis Hirsch, Gilles Lacombe |
| title_fullStr | Elements of Functional Analysis by Francis Hirsch, Gilles Lacombe |
| title_full_unstemmed | Elements of Functional Analysis by Francis Hirsch, Gilles Lacombe |
| title_short | Elements of Functional Analysis |
| title_sort | elements of functional analysis |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Funktionalanalysis |
| url | https://doi.org/10.1007/978-1-4612-1444-1 |
| volume_link | (DE-604)BV035421258 |
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