# 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

**Other Format:**lit lrf mobi rtf

# 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.