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Differential Equations: A Concise Course (Dover Books on Mathematics), by H. S. Bear
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This concise treatment of differential equations is intended to serve as a text for a standard one-semester or two-term undergraduate course in differential equations following the calculus. Emphasis is placed on mathematical explanations — ranging from routine calculations to moderately sophisticated theorems — in order to impart more than a rote understanding of techniques.
Beginning with a survey of first order equations, the text goes on to consider linear equations — including discussions of complex-valued solutions, linear differential operators, inverse operators, and variation of parameters method. Subsequent chapters then examine the Laplace transform and Picard's existence theorem and conclude with an exploration of various interpretations of systems of equations.
Numerous clearly stated theorems and proofs, examples, and problems followed by solutions make this a first-rate introduction to differential equations.
- Sales Rank: #1549054 in eBooks
- Published on: 2013-10-30
- Released on: 2013-10-30
- Format: Kindle eBook
Most helpful customer reviews
9 of 9 people found the following review helpful.
Best Concise Book on D.E.
By James M. Cargal
There are other short books on ordinary differential equations. This may be the best. It's title is quite on target. This book is short and it covers the important topics of D.E. Bear is one of the best writers in analysis (his other books are on real analysis). It pays off here. Especially at this price, every student taking O.D.E. should have this book.
5 of 7 people found the following review helpful.
Not for beginners
By A Customer
I am currently taking Diff EQ and this book is not helpful at all. It shows very few examples and skips too many steps. I am very frustrated with this book and would not recommend it to people taking this course for the first time
0 of 0 people found the following review helpful.
Five Stars
By Dave
An excellent, concise introduction to ordinary differential equations.
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