Questions tagged [mathematics]

For questions about the quantitative study of topics such as numbers, structure, space, and change, carried out by investigating patterns.

Filter by
Sorted by
Tagged with
19
votes
3answers
1k views

What mathematical developments/discoveries caused imaginary numbers to gain acceptance at the time (18th century) they did?

In a Wiki article on imaginary numbers it was asserted that "the use of imaginary numbers was not widely accepted until the work of Leonhard Euler (1707–1783) and Carl Friedrich Gauss (1777–1855)." ...
17
votes
1answer
870 views

The Abacus vs. the Electric Calculator (Nov 12, 1946): Why did the latter lose?

On Nov 12, 1946 the Americans organized a contest in Japan to compare the Japanese Abacus with the American Electric Calculator. The Abacus won: "Civilization, on the threshold of the atomic age, ...
22
votes
2answers
2k views

Hilbert's reaction to Gödel's incompleteness theorems

Is it known how Hilbert initially reacted to Gödel's incompleteness theorems upon their announcement at the Königsberg conference in 1930, or their publication in 1931?
13
votes
3answers
1k views

Why isn't there a Nobel prize in Mathematics?

While I have heard speculative answers to this question, I do not know one which can be supported. Is there any information explaining why Nobel did not chose to include this topic? Has there even ...
18
votes
1answer
2k views

Why did Rene Descartes go to Sweden?

The year before he died, mathematician Rene Descartes accepted an invitation to tutor the brilliant 19-year old Queen Christina of Sweden (some thirty years younger). He apparently died from the ...
19
votes
3answers
496 views

What was the connection between David Hilbert and Stefan Banach?

The so-called "Hilbert space" is named after mathematician David Hilbert. Later, this was generalized into "Banach spaces" by Stefan Banach. My understanding is that Hilbert was ...
28
votes
2answers
2k views

When and how was the geometric understanding of gauge theories developed?

In theoretical physics, the modern perspective on gauge theory is that it is most elegantly described in the 'language' of differential geometry. I am interested in the history behind these ideas. ...
66
votes
4answers
10k views

Why was Évariste Galois killed?

It is well known that Évariste Galois died a young man. I have heard that he died in a duel. What was the duel about? More rather what is the back story behind his death and did he really write down ...
23
votes
4answers
8k views

Ancient Chinese numbering system

It has been said that the invention of zero was a great leap forward, not only in abstract understanding, but in the ability to introduce place value notation and do computations; computing using ...
67
votes
3answers
9k views

What evidence is there that Fermat had a proof for his Last Theorem?

Aside from the fact that Fermat was a genius, is it probable that he actually did have a proof? Some specifics that I think would point one way or another: Would the mathematics of his day allow him ...
24
votes
4answers
4k views

Irrationality of the square root of 2

We know that Pythagoreans in Ancient Greece discovered that the square root of two is an irrational number. Why was that discovery historically significant? What value was that knowledge to the ...
15
votes
1answer
413 views

Cauchy's undead theory

A well known urban legend states that Cauchy's last words to the Academy where: C'est ce que j'expliquerai plus au long dans un prochain mémoire. ("I will explain it in greater detail in my next ...

1
18 19 20 21
22