Science & Math | Mathematics

A Radical Approach to Lebesque's Theory of Integration

by David M. Bressoud

2020-05-07 14:17:31

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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 mathemat... Read more
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. Less

Book Details

File size9.91x6.98x0.71inches
Print pages329
PublisherCambridge University Press
Publication date February 1, 2008
LanguageEnglish
ISBN9780521711838
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David M. Bressoud
Author
David M. Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus and A ...

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