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The Lebesgue Integral: An Elementary Approach

English

By (author): William Johnston

Using the DaniellRiesz approach, this text presents the Lebesgue integral at a level accessible to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for greatly increased curricular flexibility for course instructors, as well as providing undergraduates with a gateway to the powerful modern mathematics of functions at a very early stage. The book's topics include: the definition and properties of the Lebesgue integral; Banach and Hilbert spaces; integration with respect to Borel measures, along with their associated L2() spaces; bounded linear operators; and the spectral theorem. The text also describes several applications of the theory, such as Fourier series, quantum mechanics, and probability. See more
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A01=William JohnstonAge Group_UncategorizedAuthor_William Johnstonautomatic-updateCategory1=Non-FictionCategory=PBKLCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€50 to €100PS=ActiveSN=Mathematical Association of America Textbookssoftlaunch
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Product Details
  • Weight: 650g
  • Dimensions: 182 x 260mm
  • Publication Date: 30 Sep 2015
  • Publisher: Mathematical Association of America
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9781939512079

About William Johnston

William Johnston is Professor of Mathematics at Butler University Indiana. His publications include articles on operator theory and functional analysis and the undergraduate textbooks A Transition to Advanced Mathematics: A Survey Course (with Alex McAllister) and An Introduction to Statistical Inference.

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