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Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane (2nd Edition)
Charles W SwartzDouglas S Kurtz
出版World Scientific Publishing Company, 2011-10-31
主題Mathematics / Mathematical AnalysisMathematics / Number TheoryMathematics / Calculus
ISBN98131082669789813108264
URLhttp://books.google.com.hk/books?id=oR48DQAAQBAJ&hl=&source=gbs_api
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註釋The book uses classical problems to motivate 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 integration 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 could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.