An Introduction to Ordinary Differential Equations (Dover Books on Advanced Mathematics)
by Earl A. Coddington
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Book Summary Information
Author: Earl A. CoddingtonEdition: Paperback
Audio: English (Original Language); English (Unknown); English (Published)
Format: Unabridged
Published: 1989-03-01
ISBN: 0486659429
Number of pages: 304
Publisher: Dover Publications
Book Reviews of An Introduction to Ordinary Differential Equations (Dover Books on Advanced Mathematics)
Book Review: Concise, well written
Summary: 4 Stars
I think that this book is excellent as a textbook for an Ordinary Differential Equations class. There are plenty of "compute-the-solution" exercises, but there are also a large amount of theoretical exercises. The book is very concise, but it is still legible. It is also very cheap, so students won't mind buying it :)
I think that this book also works well when not used as a textbook. If you are using this to learn ODE's by yourself, you really need to do some of the exercises since they are essential to the book. I do think that it is $11 well spent, since it teaches all of the basics of ODE's.
In terms of the topics covered, here they are:
- Linear, homogeneous, nth-order equations with constant coefficients.
- Linear, homogeneous, 1st and 2nd order equations with non-constant coefficients.
- Linear, non-homogeneous, nth-order equations with constant coefficients.
- Lienar, non-homogeneous, 1st and 2nd order equations with non-constant coefficients.
- Solutions to ODEs with regular singular points.
- Series solutions.
- Existence and uniqueness to linear equations.
- Non-linear first order equations.
- Existence and uniqueness to first order equations.
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Summary of An Introduction to Ordinary Differential Equations (Dover Books on Advanced Mathematics)
A thorough, systematic 1st course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background, and including many exercises designed to develop students' technique in solving equations. With problems and answers. Index.
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