Ordinary Differential Equations

Name: Ordinary Differential Equations
ISBN: 0262510189

by Arnolʹd, V. I. · first published 1973

7mentions

3recommended by

7HN commenters

2013–2023first – last mentioned

43% recommend57% neutral

Why HN recommends it

Takes a geometric, qualitative approach to ODEs that moves past cookbook solution methods. Suited to second courses or introductory theory courses, and to readers seeking a deeper understanding of the subject.

Summarised by Claude from recommending comments

Mathematics

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What Hacker News says

selimthegrim · Nov 14, 2013 · Recommends

In that vein, may I also suggest Ordinary Differential Equations by V.I. Arnol'd.
on “How I faced my fears and learned to be good at math” ↗
ezedv · Oct 21, 2023 · Recommends

…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?” ↗
steppi · Jan 19, 2023 · Recommends

…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?” ↗
ced · Sep 6, 2018 · Mentions

I 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 https://www.amazon.com/Ordinary-Differential-Equations-MIT-P...
on “A First Course in Differential Equations for Scientists and Engineers” ↗
photon_lines · Dec 17, 2019 · Mentions

- Princeton Companion to Mathematics - The Art and Craft of Problem Solving - Div, Grad, Curl and all that - Visual Complex Analysis - Ordinary Differential Equations - Mathematics and Its History - Geometry and the Imagination - Introduction to Electrodynamics - Penrose's Road to Reality
on “Ask HN: Books you plan to read in 2020?” ↗
Test0129 · Aug 20, 2022 · Mentions

…difference is, unlike calculus in general, in diffeq you have actual rote formulas to solve most of the known solvable cases. I found the classes to be rote. The derivations are truly non-trivial. The book Ordinary Differential Equations by Arnold goes into more detail. Basically if we taught the reasons we'd require everyone to take analysis and differential geometry to truly understand how they work. Given the MAJORITY of students in…
on “Lessons I wish I had learned before I started teaching differential equations [pdf] (1997)” ↗
GalenErso · Mar 26, 2023 · Mentions

Topics: - Single variable calculus - Multivariable calculus, vector calculus - Linear algebra - Tensor calculus - Real analysis (see Walther Rudin) - Complex analysis - Ordinary differential equations - Partial differential equations - Abstract algebra - Differential geometry
on “Ask HN: Best books to self study undergrad level mathematics?” ↗