All Questions
3 questions
109
votes
28
answers
41k
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Why should one still teach Riemann integration?
In the introduction to chapter VIII of Dieudonné's Foundations of Modern Analysis (Volume 1 of his 13-volume Treatise on Analysis), he makes the following argument:
Finally, the reader will ...
- 12.9k
52
votes
4
answers
6k
views
A historical mystery : Poincaré’s silence on Lebesgue integral and measure theory?
Lebesgue published his celebrated integral in 1901-1902. Poincaré passed away in 1912, at full mathematical power.
Of course, Lebesgue and Poincaré knew each other, they even met on several occasions ...
- 91.8k
9
votes
1
answer
557
views
Deep applications of the Pettis integral?
In the Notes section of chapter 2 of Diestel and Uhl's Vector Measures they make the comment:
"Presently the Pettis integral has very few applications. But our prediction is that when (and if) ...
- 188k