A Radical Approach to Lebesgue's Theory of Integration
David M. Bressoud
Gebundenes Buch

A Radical Approach to Lebesgue's Theory of Integration

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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 effor...