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Results tagged with ho.history-overview
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user 30684
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
2
votes
Examples of incorrect arguments being fertilizer for good mathematics?
Another example: S. Smale wrote a paper with a conjecture that rules out the phenomenon of chaos in dynamical systems (i.e., claiming that chaos does not exist in dynamical systems at all). But a coun …
20
votes
Examples of incorrect arguments being fertilizer for good mathematics?
The field of knot theory became much more (legitimate ?) actively researched area in math because the physicists (i.e., Lord Kelvin) thought that atoms were knots in aether.
Of course that idea is now …
5
votes
Looking for Arnol'd quote about Russian students vs western mathematicians
Here's Arnold's essay on teaching mathematics.
http://pauli.uni-muenster.de/~munsteg/arnold.html
"For example, these students have never seen a paraboloid and a question on the form of the surface g …
- 2,281
10
votes
What are some deep theorems, and why are they considered deep?
Kolmogorov-Arnold-Moser (KAM) theorem in the study of perturbed Hamiltonian systems. This landmark theorem clarified a major point in the field, and answered in positive the question of existence of s …
3
votes
Mathematicians with both “very abstract” and “very applied” achievements
Jerrold Marsden made major contribution to symplectic geometry but also was a key contributor to problems in celestial mechanics and numerical methods.
24
votes
Insightful books about elementary mathematics
Geometry and the Imagination by Hilbert and Cohn-Vossen.
57
votes
Every mathematician has only a few tricks
Integration by parts has allegedly earned some people big medals.