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Lunch » Tags » Books » Reviews » Elementary Differential Equations Bound with IDE CD Package

Elementary Differential Equations Bound with IDE CD Package

1 rating: 5.0

A book by Werner E. Kohler

Elementary Differential Equations integrates the underlying theory, the solution procedures, and the numerical/computational aspects of differential equations in a seamless way. For example, whenever a new type of problem is introduced (such as first-order … see full wiki

Tags: Books, Mathematics

Author: Werner E. Kohler

Genre: Science

Publisher: Addison Wesley

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A worthy selection for a text in a differential equations course

Dec 26, 2006

by CharlesAshbacher
posted in Cafe Libri: Reviewing Books & More

Rating:

As a teacher at a small college, at some point I will be required to teach just about every class in the math and computer science curriculum. Therefore, I examined this book for possible adoption as a text in our differential equations course and found it to be appropriate in all ways.
In my opinion, differential equations is a retro course as far as proofs are concerned Meaning that although it is an upper division math course, proofs are best when they are few and far between. That was the strategy taken in this book. Each section opens with a discussion of the new solution strategy, followed by some examples of how it is applied, additional explanation if warranted and then a set of exercises. Solutions to the odd-numbered exercises are included at the end.
The quality of the explanations is quite good; the student who has done well in their three-semester calculus sequence will have little difficulty understanding it. The coverage is exactly what I consider to be the necessary material for an introductory course in differential equations. The chapter titles are:

*) Introduction to differential equations
*) First order differential equations
*) Second and higher order linear differential equations
*) First order linear systems
*) Laplace transforms
*) Nonlinear systems
*) Numerical methods
*) Series solutions of linear differential equations

I don't know when I will teach differential equations again. When I do, this book will be at the top of my list of textbooks to consider.

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