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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)
版 | 1st ed. 2015. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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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 |
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分 類 | LCC:QA312-312.5 DC23:515.42 |
書誌ID | 4000120567 |
ISBN | 9783319170190 |
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※2017年9月4日以降