Ordinary Differential Equations
by Vladimir I. Arnold · first published 2006
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…if you're looking for advanced books on differential equations, I'd recommend "Partial Differential Equations" by Lawrence C. Evans for a comprehensive coverage of PDEs. For a more specialized focus on Ordinary Differential Equations, "Ordinary Differential Equations" by Vladimir I. Arnold is a fantastic choice. And for a deep dive into Stochastic Differential Equations, check out "Stochastic Differential Equations" by Bernt Øksendal.
on “Ask HN: Can you suggest advanced books on all type differential equations?” ↗…Theorem are lovely. It also includes a very nice proof of Chebyshev's theorem on the asymptotic density of primes and even the Rogers-Ramanujan identities for integer partitions. 4. Vladimir Arnold, Ordinary Differential Equations: Undergrad ODE classes are often taught in a cookbook fashion and if so, don't offer much enlightenment. This book explains what's going on at geometrical level. I didn't appreciate ODEs until I read…
on “Ask HN: Math books that made you significantly better at math?” ↗