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A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks) by David M. Bressoud, David M. Bressoud is a nonfiction available to read on EtoBox.

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

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. Features • Exercises at the end of each section, allowing students to explore their understanding • Hints to help students get started on challenging problems • Boxed definitions make it easier to i

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

Author

David M. Bressoud, David M. Bressoud

Publisher

Cambridge University Press (Virtual Publishing)

Published

2008

Language

EN

ISBN

9780521711838

Category

nonfiction

Subjects

Mathematics, Science, Stem

Rating

4.17 / 5 (5 ratings)

Updated

2026-03-14