Overview
- Furthers the understanding of ODEs by using a geometrical interpretation
- Excellent for physics students, too
- One of the best textbooks of all times
Part of the book series: Universitext (UTX)
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Keywords
- Differentialgleichung
- algorithms
- differential equation
- manifold
- mechanics
- ordinary differential equation
- ordinary differential equations
- solution
- vector field
About this book
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Ordinary Differential Equations
Authors: Vladimir I. Arnold
Series Title: Universitext
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 1992
Softcover ISBN: 978-3-540-34563-3Published: 19 June 2006
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: IV, 338
Number of Illustrations: 272 b/w illustrations
Additional Information: Original Russion edition published by Nauka, Moscow, 1984