Differential Equations
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Book Overview
For introduction to differential equations courses at the undergraduate level. The author's engaging writing style combined with the text's evenhanded organization clearly introduces and reinforces key concepts. Standard computational techniques are introduced using carefully chosen motivating examples and discussions. This modern treatment of differential equations carefully relates the material to other subjects such as engineering, physics, and biology as well as other branches of mathematics. Concepts such as eigenvalues and eigenvectors are smoothly and coherently integrated into the text. Qualitative concepts such as phase portraits and Lyapunov functions are given extensive coverage. The exercises vary greatly in difficulty and range from easier computational exercises to more complicated theoretical problems.
Format:Paperback
Language:English
ISBN:0023669128
ISBN13:9780023669125
Release Date:May 1999
Publisher:Pearson
Length:704 Pages
Weight:0.45 lbs.
Dimensions:1.5" x 7.0" x 9.0"
Customer Reviews
3 ratings
very good but not well known intro to ODE's
Published by Thriftbooks.com User , 15 years ago
A good modern text on Diffy-Q's that is much better than most of the mass produced ODE books that I have seen in recent years. One thing that really caught my eye about this book is the way it treats the simple ODE dot(x) = ax in the first chapter. This diffy-q really has three domains of solution depending on the sign of x. Most books use the god-awful ln(abs(x)) (which really is not a legit anti-derivative of 1/x: see Lang "A First Course in Calculus") This is one of many small things that the author takes the time to treat with proper care. Overall, excellent explanations and topics. Even Lyapunov functions are discussed in this intro text. I was also impressed with the footnote references to classic and scholarly texts. Rare to find any references at all in mass market textbooks much less ones to the masters Ince, Arnold, or Coddington. This book was a very pleasant surprise.
Excellent text, sadly out of print
Published by Thriftbooks.com User , 15 years ago
I had the pleasure of using this book for a course taught by the author at Carleton College. It is, to my knowledge, the best book on its subject, with well-written explanations and good example problems. It does occasionally demand too much of students, as when it introduces applications in electronics, which I didn't think were adequately explained. Still, this is a fine introduction. Note that the "Facsimile" edition of this book is in black and white, whereas the original printing had blue as well, making it much more readable. If you seek out a copy of this book, try to find a non-facsimile.
best best best
Published by Thriftbooks.com User , 17 years ago
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