ENGLISH

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

By David M. Bressoud

Book information

Publisher
Cambridge University Press
Year
2008
ISBN
0521884748, 9780521884747, 9780521711838, 0521711835
Open Library ID
OL10437084M
Language
english
Format
DJVU
Filesize
3 MB (2966089 bytes)
Edition
1
Pages
347\347
Time added
2011-06-04 13:46:07

Description

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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