A Radical Approach to Lebesgue's Theory of Integration

Description: A Radical Approach to Lebesgue's Theory of Integration Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): David M. Bressoud Format: Hardback Publisher: Cambridge University Press, United Kingdom Imprint: Cambridge University Press ISBN-13: 9780521884747, 978-0521884747 Synopsis Meant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis.

Price: 109.02 GBP

Location: Aldershot

End Time: 2024-12-04T08:46:55.000Z

Shipping Cost: 38.34 GBP