| A Radical Approach to Lebesque's Theory of Integration Contributor(s): Bressoud, David M. (Author) |
|
 |
ISBN: 0521711835 ISBN-13: 9780521711838 Publisher: Cambridge University Press OUR PRICE: $51.29 Product Type: Paperback - Other Formats Published: January 2008 Annotation: An introduction to measure theory and Lebesgue integration rooted in the historical questions that led to its development. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Algebra - Abstract |
| Dewey: 515.42 |
| LCCN: 2007035326 |
| Series: Maa Textbooks |
| Physical Information: 0.71" H x 6.98" W x 9.91" (1.32 lbs) 344 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |