A Radical Approach to Lebesque's Theory of Integration

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.

Author: David M. Bressoud
Publisher: Cambridge University Press
Published: 02/21/2008
Pages: 344
Binding Type: Paperback
Weight: 1.32lbs
Size: 9.91h x 6.98w x 0.71d
ISBN13: 9780521711838
ISBN10: 0521711835
BISAC Categories:
- Mathematics | Calculus
- Mathematics | Algebra | Abstract