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

A Radical Approach to Lebesque's Theory of Integration (Mathematical Association of America Textbooks) By David M. Bressoud Cover Image

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

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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.
Product Details ISBN: 9780521711838
ISBN-10: 0521711835
Publisher: Cambridge University Press
Publication Date: January 14th, 2008
Pages: 344
Language: English
Series: Mathematical Association of America Textbooks