A guide to functional analysis /:
The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spec...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, D.C.] :
Mathematical Association of America,
©2013.
|
| Schriftenreihe: | Dolciani mathematical expositions ;
no. 49. MAA guides ; no. 9. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely self-contained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience. |
| Beschreibung: | 1 online resource (xii, 137 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 1614442134 9781614442134 |
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| 520 | |a The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely self-contained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience. | ||
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| author | Krantz, Steven G. (Steven George), 1951- |
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| contents | Fundamentals -- Ode to the dual space -- Hilbert space -- The algebra of operators -- Banach algebra basics -- Topological vector spaces -Distributions -- Spectral theory -- Convexity -- Fixed-point theorems. |
| ctrlnum | (OCoLC)847724611 |
| dewey-full | 515.7 |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn847724611 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:23Z |
| institution | BVB |
| isbn | 1614442134 9781614442134 |
| language | English |
| oclc_num | 847724611 |
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| physical | 1 online resource (xii, 137 pages) : illustrations |
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| series | Dolciani mathematical expositions ; MAA guides ; |
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| spelling | Krantz, Steven G. (Steven George), 1951- author. https://id.oclc.org/worldcat/entity/E39PBJw8VQ7cxG48KCfPym3RKd http://id.loc.gov/authorities/names/n81051364 A guide to functional analysis / Steven G. Krantz. [Washington, D.C.] : Mathematical Association of America, ©2013. 1 online resource (xii, 137 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier MAA guides ; # 9 Dolciani mathematical expositions ; # 49 Includes bibliographical references and index. Fundamentals -- Ode to the dual space -- Hilbert space -- The algebra of operators -- Banach algebra basics -- Topological vector spaces -Distributions -- Spectral theory -- Convexity -- Fixed-point theorems. Print version record. The purpose of A Guide to Functional Analysis is to introduce the reader with minimal background to the basic scripture of functional analysis. Readers should know some real analysis and some linear algebra. Measure theory rears its ugly head in some of the examples and also in the treatment of spectral theory. The latter is unavoidable and the former allows us to present a rich variety of examples. The nervous reader may safely skip any of the measure theory and still derive a lot from the rest of the book. Apart from this caveat, the book is almost completely self-contained; in a few instances we mention easily accessible references. A feature that sets this book apart from most other functional analysis texts is that it has a lot of examples and a lot of applications. This helps to make the material more concrete, and relates it to ideas that the reader has already seen. It also makes the book more accessible to a broader audience. English. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Analyse fonctionnelle. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast Print version: Krantz, Steven G. (Steven George), 1951- Guide to functional analysis. [Washington, D.C.] : The Mathematical Association of America, [2013] 0883853574 (DLC) 2013935093 (OCoLC)840478172 Dolciani mathematical expositions ; no. 49. http://id.loc.gov/authorities/names/n42009859 MAA guides ; no. 9. http://id.loc.gov/authorities/names/no2008118779 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=561154 Volltext |
| spellingShingle | Krantz, Steven G. (Steven George), 1951- A guide to functional analysis / Dolciani mathematical expositions ; MAA guides ; Fundamentals -- Ode to the dual space -- Hilbert space -- The algebra of operators -- Banach algebra basics -- Topological vector spaces -Distributions -- Spectral theory -- Convexity -- Fixed-point theorems. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Analyse fonctionnelle. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052312 |
| title | A guide to functional analysis / |
| title_auth | A guide to functional analysis / |
| title_exact_search | A guide to functional analysis / |
| title_full | A guide to functional analysis / Steven G. Krantz. |
| title_fullStr | A guide to functional analysis / Steven G. Krantz. |
| title_full_unstemmed | A guide to functional analysis / Steven G. Krantz. |
| title_short | A guide to functional analysis / |
| title_sort | guide to functional analysis |
| topic | Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Analyse fonctionnelle. MATHEMATICS Functional Analysis. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functional analysis fast |
| topic_facet | Functional analysis. Analyse fonctionnelle. MATHEMATICS Functional Analysis. MATHEMATICS Mathematical Analysis. Functional analysis |
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