A Radical Approach to Lebesgue's Theory of Integration
David M. Bressoud
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.
درجه (قاطیغوری(:
کال:
2008
خپرندویه اداره:
CUP
ژبه:
english
صفحه:
346
ISBN 10:
0521884748
ISBN 13:
9780521884747
لړ (سلسله):
Mathematical Association of America Textbooks
فایل:
DJVU, 2.80 MB
IPFS:
,
english, 2008