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Measure and Integration / by S. Kesavan
(Texts and Readings in Mathematics. ISSN:23668725)
版 | 1st ed. 2019. |
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出版者 | Singapore : Springer Nature Singapore : Imprint: Springer |
出版年 | 2019 |
大きさ | XX, 232 p. 2 illus : online resource |
著者標目 | *Kesavan, S author SpringerLink (Online service) |
件 名 | LCSH:Measure theory LCSH:Functional analysis FREE:Measure and Integration FREE:Functional Analysis |
一般注記 | Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration HTTP:URL=https://doi.org/10.1007/978-981-13-6678-9 |
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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 | 9789811366789 |
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EB00197983 |
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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 | 4000120979 |
ISBN | 9789811366789 |
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