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Results tagged with ho.history-overview
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user 6129
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
27
votes
8
answers
13k
views
The $2\pi$ in the definition of the Fourier transform
There are several conventions for the definition of the Fourier transform on the real line.
1 . No $2\pi$. Fourier (with cosine/sine), Hörmander, Katznelson, Folland.
$ \int_{\bf R} f(x) e^{-ix\xi} …
- 18.7k
110
votes
10
answers
30k
views
What is the oldest open problem in mathematics?
What is the oldest open problem in mathematics? By old, I am referring to the date the problem was stated.
Browsing Wikipedia list of open problems, it seems that the Goldbach conjecture (1742, every …
- 18.7k
7
votes
1
answer
791
views
author of a paradoxical decomposition of the interval
I am looking for the original author and the date of publication of the following result.
Theorem
There exist subsets $E_i\subset [0,1)$, $i\in {\bf Z}$, pairwise disjoints and real numbers $a_i$ suc …
- 18.7k
11
votes
2
answers
1k
views
Early successes of Schwartz distribution theory
What are the early successes of Schwartz distributions theory?
What are the hard theorems that became simple and what
open problems were solved with this new tool soon after Laurent
Schwartz released …
- 18.7k