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

Posted on 2010-03-15




Name:Science/Engineering A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks)
ASIN/ISBN:0521711835
Language:English
File size:15.7 Mb
Publisher: Cambridge University Press
Publish Date: 2008-01-14
ISBN: 0521711835
File Type: PDF
Other Info: 15,7MB
   Science/Engineering A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks)



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A Radical Approach to Lebesgue's Theory of Integration (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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Thanks wesker1999, it is partial, but gives a good idea of the book and a first glance of the problem

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