From the reviews:
"Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation … . The new edition is highly recommended as a general reference for the essential theory of ordinary differential equations and as a textbook for an introductory course for serious undergraduate or graduate students. … In the US system, it is an excellent text for an introductory graduate course." (Carmen Chicone, SIAM Review, Vol. 49 (2), 2007)
"Vladimir Arnold’s is a master, not just of the technical realm of differential equations but of pedagogy and exposition as well. … The writing throughout is crisp and clear. … Arnold’s says that the book is based on a year-long sequence of lectures for second-year mathematics majors in Moscow. In the U.S., this material is probably most appropriate for advanced undergraduates or first-year graduate students." (William J. Satzer, MathDL, August, 2007)
I'm big fan of Arnold's writing style.
So I guess that, for a mere mortal, reading Arnol'd demands a willingness to have a feel for a big picture without worrying about every epsilon and delta.
It is a nice counterexample for those who believe that, to be rigorous, a mathematical book needs to be very hard to read.
This is one of the most beautiful books written on ordinary differential equation and a most read for any interested person. Read morePublished 11 months ago by Bahram Houchmandzadeh
I'm big fan of Arnold's writing style. Before this book, I was reading his "Mathematical aspects of Classical Mechanics" and I absolutely love it. Read morePublished 12 months ago by Mukhamejan
If you consider buying the kindle edition, then just don't! Neither the equations, nor the tables are expandable. Read morePublished 17 months ago by George K.
It's a good text book for undergraduates. It has clear theory and examples to review and exercise. It also has homework to practice from easy to advanced levels.Published on August 21, 2012 by Hamiltonlu
While the style and level of this book are great for students at many levels (read the other reviews for more on that), I made the mistake of buying the Kindle edition. Read morePublished on March 26, 2011 by goldy
Well differential equaitons are all about change, and this book changed my life. I read this more than 30 years ago, and all the mathematics I know, I mean really know, I learned... Read morePublished on June 27, 2008 by Nicholas Tufillaro
No doubt the best book on ODE by a master!! Ecuaciones Diferenciales Ordinarias (Fondos Distribuidos) Kiseliov Krasnov is another great book! Translated in English!! Read morePublished on August 17, 2006 by Physicsmind
This is a classic in the field. Excellent presentation and geometric perspective of dynamical systems. Most definitely a book to be kept as reference.Published on July 13, 2006 by Rene Barrientos
This is an amazing book. Arnold's style is unique - very intuitive and geometric. This book can be read by non-mathematicians but to really appreciate its beauty, and to understand... Read morePublished on November 17, 2005 by Peter