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Radical Approach to Lebesgue's Theory of Integration Book

Radical Approach to Lebesgue's Theory of Integration
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  • Radical Approach to Lebesgue's Theory of Integration
  • Written by author David M. Bressoud
  • Published by Cambridge University Press, January 2008
  • An introduction to measure theory and Lebesgue integration rooted in the historical questions that led to its development.
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Book Categories

Authors

1. Introduction;
2. The Riemann integral;
3. Explorations of R;
4. Nowhere dense sets and the problem with the fundamental theorem of calculus;
5. The development of measure theory;
6. The Lebesgue integral;
7. The fundamental theorem of calculus;
8. Fourier series;
9. Epilogue. A. Other directions; B. Hints to selected exercises.


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