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Look at Arnold's book on Diff, it is harder then others, but has absolutely different outlook.
by alexibm 8y ago
Look at Arnold's book on Diff, it is harder then others, but has absolutely different outlook.
- selimthegrim 8y agoThat book is totally mindblowing, and obliterates artificial boundaries between physics and mathematics. It also (in the older Dover editions) had a cover where the phase portrait on the front looked like two angry eyes glaring at you that you hadn't learned enough math yet.
- Koshkin 8y agoWell, modern theoretical physics seems to be nothing but mathematics (mostly advanced differential geometry and group theory). And this is a good thing, as it is the sign of how far along the subject has gone in its evolution. The theory of differential equations also reduces to differential geometry, which is what Arnold’s book seems to be striving to show, as does his other excellent text on mathematical principles of classical mechanics.
- ced 8y agoI can only find the first edition on Amazon, but there's apparently a third edition? http://www.matem.unam.mx/ernesto/EDO/Ar-EDO.pdf http://www.matem.unam.mx/ernesto/EDO/Ar-EDO.pdf https://www.amazon.com/Ordinary-Differential-Equations-MIT-Press/dp/0262510189/ref=sr_1_sc_1?s=books&ie=UTF8&qid=1536220865&sr=1-1-spell&keywords=Ordinary+Differential+Equations+arnol https://www.amazon.com/Ordinary-Differential-Equations-MIT-P...
- gjm11 8y agoI think this is the third edition: https://www.amazon.com/x/dp/3540345639 https://www.amazon.com/x/dp/3540345639