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A01=C. Ray Rosentrater
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Category1=Non-Fiction
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Varieties of Integration

Hardback | English

By (author): C. Ray Rosentrater

By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically studied in isolation, with little attention paid to the relationships between them or to the historical issues that motivated their definitions. This book redresses this situation by introducing the Riemann, Darboux, Lebesgue, and gauge integrals using a common set of examples. This allows the reader to see how the definitions influence proof techniques and computational strategies. Then the properties of the integrals are compared in three major areas: the class of integrable functions, the convergence properties of the integral, and the best form of the Fundamental Theorems of Calculus. With a thorough set of appendices and exercises, and interesting historical context, this book is equally useful as a reference for mathematicians or as a text for a second undergraduate course in real analysis. See more
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A01=C. Ray RosentraterAge Group_UncategorizedAuthor_C. Ray Rosentraterautomatic-updateCategory1=Non-FictionCategory=PBKLCOP=United StatesDelivery_Delivery within 10-20 working daysFormat=BBFormat_HardbackLanguage_EnglishPA=AvailablePrice_€20 to €50PS=ActiveSN=Dolciani Mathematical Expositionssoftlaunch
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Product Details
  • Format: Hardback
  • Weight: 570g
  • Dimensions: 156 x 236mm
  • Publication Date: 25 Feb 2016
  • Publisher: Mathematical Association of America
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780883853597

About C. Ray Rosentrater

C. Ray Rosentrater is a Professor of Mathematics at Westmont College California where he has also served as Department Chair and Associate Dean for Curriculum. He has been recognized as Westmont''''s Teacher of the Year in the Natural and Behavioral Sciences and has received the Faculty Research Award.

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