A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks)

A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks) by David M. Bressoud

Title: A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks)
Author: David M. Bressoud
ISBN10: 0521711835
ISBN13: 978-0521711838
Publisher: Cambridge University Press; 1 edition (January 14, 2008)
Language: English
Subcategory: Mathematics
Size PDF: 1435 kb
Size Fb2: 1712 kb
Rating: 3.6/5
Votes: 508
Pages: 344 pages
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A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks) by David M. Bressoud


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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 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.