3 of 3 people found the following review helpful
5.0 out of 5 stars
The best mainstream ODE text, Sep 13 2003
By A Customer
This is the best mainstream book on (ordinary) Diff. Eqns. It is mainly oriented to engineers but a math major could benefit from it as well. Like most books on this subject it emphasizes on solving relatively small classes of Diff. Eqns, namely those that can be solved in closed form and like most of those books avoids, but not completely, the qualitative study of the subject. However, I believe that this is the best compromise of a "recipe book" and a book that really tries to encourage understanding of the subject.
The book suffers from too many examples and pictures. The examples take too much space and have too many details. I can hardly blame the authors for this - they, and the publisher, just want to sell more books, and they have therefore to follow the general trend. You either have to write a book like this, or a real one, like Arnold's book, but that would be a book for a few only. "Proof" in Boyce-DiPrima is a dirty word but so is in any other mainstream text on Diff. Eqns.
It was interesting to me to read most of the negative reviews here. Poor mathematical background makes many readers believe that the exercises are hard, the answers are put in weird form (meaning the reader has problems with middle school algebra), etc. If anything, many of the exercises are too easy. Those, who need Mathematica for solving integrals - you'd better retake your Calculus course. There are very few examples that really require Mathematica and they are mentioned clearly. Really interesting and challenging problems can be found sometimes but authors clearly understand that too many of those would hurt the sale numbers. One reader wrote: "This book makes ODEs and PDEs look much more difficult than they really are. " Well, like many other books, this book does not give you the slightest idea what ODEs and PDEs really are (try John's book as an introduction to PDEs), they are far more intellectually challenging and deep that most students can imagine.
After so much negative comments, why do I still think that this is a good book? Because you cannot beat the system, at least this is not the way, and the math culture of most readers and students is not adequate to appreciate a real book (try Arnold). If you want a book that is still readable by the majority of the undergrad students, then this is the best one. If you want a real one, look elsewhere but do not complain that the author does not show the steps when solving a quadratic equation.
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5.0 out of 5 stars
Excellent Textbook, Dec 1 2008
Very good textbook. Has some weak spots (a few sections were poorly explained), but overall the explanations were good, there were lots of examples, and lots of exercises with full solutions.
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3.0 out of 5 stars
booooo!, April 12 2004
Not too good... there weren't enough examples as others said, and some of the derivations were unnecessarily complicated. Try the book by Rainville & Bedient instead, if it's still in print.
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