Top positive review
A Well Written Book for the Undergraduate Students of Mathematics and Sciences - But Beware of Mistakes
on June 14, 2015
Thorough and well written work emphasizing the applied aspects of Ordinary Differential Equations without requiring the reader or student using the book to be exposed to or steeped in Mathematical Analysis. Excellent for students of Engineering and the Sciences, e.g., Physics. A bit of Partial Differential Equations, limited to linear second order types (e.g., the Heat Equation), and extensions such as Nonlinear Ordinary Differential Equations and Sturm-Liouville Theory are included as optional or follow-on topics on an introductory basis for more advanced studies.
The edition I purchased, the 7th, is a expanded version of the 4th, 5th and 6th editions. Unlike the earlier editions, e.g., the 4th, there are more mistakes, especially in the solutions in the back of the book, and occasionally in type-set equations throughout the various chapters. For brevity, clarity and precision, I prefer the older editions, e.g., the 4th edition.
All in all, the book is well written and time honored for those intending to attain at least a junior or third year undergraduate background in Ordinary Differential Equations without requiring one to have as prerequisites in, say, introductory Complex Variables. The book tends to be self-contained as topics are laid out in a fairly straightforward manner without referring excessively to other or more advanced works.