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Unfortunately this is not the origin of the modern European mathematics. The math was tightly related to the field of mathematical physics until early 20 centur
by eugenejen 17y ago
Unfortunately this is not the origin of the modern European mathematics. The math was tightly related to the field of mathematical physics until early 20 century. And the cause of split of physics and mathematics is Bourbaki's movement for pure math, which unfortunately leading the movement of pedagogical "new math" later that make all school children hating math.
The job of old mathematicians is not only to prove theorem, but also to design tools to solve physics problems.
V.I. Arnold was trying to bring this back together again. It is the same as we design algorithms for real world problems.
- TriinT 17y agoI keep thinking of how V.I. Arnold managed to teach group theory to Moscow schoolchildren in the 1960s. I also wonder why Landau & Lipschitz are such wonderful books. There's something special in the Russian way of teaching Math / Physics, I guess.
- eugenejen 17y agoI don't know. Even Komolgorov's "Mathematics: Its Content, Methods and Meaning" is pretty easy to read. My theory is that instead of teaching the abstract definition and proofs for group like general college math professors, V.I. Arnold might start lectures from some games/problems in daily life that we can apply group theory on to kids. (Of course those kids maybe gifted in math already) then from the special concrete case as basis, he then showed students the abstract stuffs behind it.