A Radical Approach to Lebesgue's Theory of Integration (Mathematical Association of America Textbooks) Book + PRICE WATCH * Amazon pricing is not included in price watch

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

Meant for advanced undergraduate and graduate students in mathematics, this introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author tells the story of the mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work of Jordan, Borel, and Lebesgue.Read More

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  • Product 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.

  • 0521884748
  • 9780521884747
  • David M. Bressoud
  • 21 January 2008
  • Cambridge University Press
  • Hardcover (Book)
  • 344
  • 1
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