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Introduction to Measure Theory and Functional Analysis / by Piermarco Cannarsa, Teresa D'Aprile
(La Matematica per il 3+2. ISSN:20385757 ; 89)

1st ed. 2015.
出版者 (Cham : Springer International Publishing : Imprint: Springer)
出版年 2015
本文言語 英語
大きさ XIV, 314 p. 8 illus., 1 illus. in color : online resource
著者標目 *Cannarsa, Piermarco author
D'Aprile, Teresa author
SpringerLink (Online service)
件 名 LCSH:Measure theory
LCSH:Functional analysis
LCSH:Probabilities
LCSH:Social sciences -- Mathematics  全ての件名で検索
LCSH:Mathematical physics
FREE:Measure and Integration
FREE:Functional Analysis
FREE:Probability Theory
FREE:Mathematics in Business, Economics and Finance
FREE:Mathematical Physics
FREE:Mathematical Methods in Physics
一般注記 1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index
This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra
HTTP:URL=https://doi.org/10.1007/978-3-319-17019-0
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Springer eBooks 9783319170190
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EB00228206

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データ種別 電子ブック
分 類 LCC:QA312-312.5
DC23:515.42
書誌ID 4000120567
ISBN 9783319170190

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