A guide to advanced real analysis /:
A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and i...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Washington, D.C.] :
Mathematical Association of America,
©2009.
|
| Schriftenreihe: | Dolciani mathematical expositions ;
no. 37. MAA guides ; no. 2. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. |
| Beschreibung: | 1 online resource (x, 107 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 101-102) and index. |
| ISBN: | 9780883859155 0883859157 |
Internformat
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| 246 | 3 | 0 | |a Advanced real analysis |
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| 505 | 0 | |a Prologue: notation, terminology, and set theory -- Topology -- Measure and integration: general theory -- Measure and integration: constructions and special examples -- Rudiments of functional analysis -- Function spaces -- Topics in analysis on Euclidean Space. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. | ||
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| author | Folland, G. B. |
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| author_facet | Folland, G. B. |
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| contents | Prologue: notation, terminology, and set theory -- Topology -- Measure and integration: general theory -- Measure and integration: constructions and special examples -- Rudiments of functional analysis -- Function spaces -- Topics in analysis on Euclidean Space. |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn796671499 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:37:45Z |
| institution | BVB |
| isbn | 9780883859155 0883859157 |
| language | English |
| lccn | 2009927192 |
| oclc_num | 796671499 |
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| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Mathematical Association of America, |
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| series | Dolciani mathematical expositions ; MAA guides ; |
| series2 | The Dolciani mathematical expositions ; MAA guides ; |
| spelling | Folland, G. B., author. http://id.loc.gov/authorities/names/n82028068 A guide to advanced real analysis / Gerald B. Folland. Advanced real analysis [Washington, D.C.] : Mathematical Association of America, ©2009. 1 online resource (x, 107 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier The Dolciani mathematical expositions ; no. 37 MAA guides ; #2 Includes bibliographical references (pages 101-102) and index. Prologue: notation, terminology, and set theory -- Topology -- Measure and integration: general theory -- Measure and integration: constructions and special examples -- Rudiments of functional analysis -- Function spaces -- Topics in analysis on Euclidean Space. Print version record. A Guide to Advanced Real Analysis is an outline of the core material in the standard graduate-level real analysis course. It is intended as a resource for students in such a course as well as others who wish to learn or review the subject. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. English. Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Functions of real variables. http://id.loc.gov/authorities/subjects/sh85052357 Analyse mathématique. Fonctions de variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of real variables fast Mathematical analysis fast Print version: Folland, G.B. Guide to advanced real analysis. [Washington, D.C.] : Mathematical Association of America, ©2009 9780883853436 (DLC) 2009927192 (OCoLC)428026440 Dolciani mathematical expositions ; no. 37. http://id.loc.gov/authorities/names/n42009859 MAA guides ; no. 2. http://id.loc.gov/authorities/names/no2008118779 |
| spellingShingle | Folland, G. B. A guide to advanced real analysis / Dolciani mathematical expositions ; MAA guides ; Prologue: notation, terminology, and set theory -- Topology -- Measure and integration: general theory -- Measure and integration: constructions and special examples -- Rudiments of functional analysis -- Function spaces -- Topics in analysis on Euclidean Space. Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Functions of real variables. http://id.loc.gov/authorities/subjects/sh85052357 Analyse mathématique. Fonctions de variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of real variables fast Mathematical analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082116 http://id.loc.gov/authorities/subjects/sh85052357 |
| title | A guide to advanced real analysis / |
| title_alt | Advanced real analysis |
| title_auth | A guide to advanced real analysis / |
| title_exact_search | A guide to advanced real analysis / |
| title_full | A guide to advanced real analysis / Gerald B. Folland. |
| title_fullStr | A guide to advanced real analysis / Gerald B. Folland. |
| title_full_unstemmed | A guide to advanced real analysis / Gerald B. Folland. |
| title_short | A guide to advanced real analysis / |
| title_sort | guide to advanced real analysis |
| topic | Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Functions of real variables. http://id.loc.gov/authorities/subjects/sh85052357 Analyse mathématique. Fonctions de variables réelles. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Functions of real variables fast Mathematical analysis fast |
| topic_facet | Mathematical analysis. Functions of real variables. Analyse mathématique. Fonctions de variables réelles. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Functions of real variables Mathematical analysis |
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