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portada A Radical Approach to Lebesgue's Theory of Integration Hardback: 0 (Mathematical Association of America Textbooks)
Type
Physical Book
Publisher
Author
Year
2008
Language
English
Pages
344
Format
Hardcover
Weight
2
ISBN
0521884748
ISBN13
9780521884747
Edition No.
1
Categories

A Radical Approach to Lebesgue's Theory of Integration Hardback: 0 (Mathematical Association of America Textbooks)

David M. Bressoud (Author) · Cambridge University Press · Hardcover

A Radical Approach to Lebesgue's Theory of Integration Hardback: 0 (Mathematical Association of America Textbooks) - David M. Bressoud

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Synopsis "A Radical Approach to Lebesgue's Theory of Integration Hardback: 0 (Mathematical Association of America Textbooks) "

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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