Theories of integration :the integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane

• 作者: Kurtz, Douglas S.
• 其他作者: Swartz, Charles,
• 出版: River Edge, NJ : World Scientific Pub. ©2004.
• 稽核項: 1 online resource (xiii, 268 pages).
• 叢書名: Series in real analysis ;v. 9
• 標題: MATHEMATICS Mathematical Analysis. , Electronic books. , MATHEMATICS Calculus. , Mathematical Analysis. , MATHEMATICS , Integrals. , Calculus.
• ISBN: 9812388435 , 9789812388438
• 試查全文@TNUA:
  
• 附註: Includes bibliographical references (pages 263-264) and index. Introduction -- Riemann integral -- Convergence theorems and the Lebesque integral -- Fundamental theorem of calculus and the Henstock-Kurzweil integral -- Absolute integrability and the McShane integral.
• 摘要: "This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook."--Jacket.
• 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=129829
• 系統號: 005316475
• 資料類型: 電子書
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• 引用網址: 複製連結
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