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Measure and integration

  • 作者: Kesavan, S., author.
  • 其他作者:
  • 其他題名:
    • Texts and readings in mathematics ;
  • 出版: Singapore : Springer Singapore :Imprint: Springer
  • 叢書名: Texts and readings in mathematics ;volume 77
  • 主題: Measure theory. , Measure and Integration. , Functional Analysis.
  • ISBN: 9789811366789 (electronic bk.) 、 9789811366796 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: 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.
  • 摘要註: 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.
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  • 系統號: 005449827 | 機讀編目格式
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