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A Radical Approach to Lebesgue's Theory of Integration

David M. Bressoud

ISBN:

9780521711838

Publisher:

Cambridge Univ Pr

Publication Date:

2008

Binding:

Softcover

Synopsis:
This lively introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems, highlighting the difficulties mathematicians encountered as these ideas were refined. The story begins with Riemann's definition of the integral, and then follows the efforts of those who wrestled with the difficulties inherent in it, until Lebesgue finally broke with Riemann's definition. With his new way of understanding integration, Lebesgue opened the door to fresh and productive approaches to the previously intractable problems of analysis.

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Other editions: Hardcover - 2008, Hardcover - 2008, Hardcover - 2007, Softcover - 2007, Softcover - 2007, Softcover - 1999, Hardcover - 1999, Softcover - 1994, Softcover - 1994, 1991


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