A Radical Approach to Lebesgue's Theory of Integration

Häftad, Engelska, 2008

Av Minnesota) Bressoud, David M. (Macalester College, David M. Bressoud

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Written 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.