ENGLISH

Differential Equations: A Concise Course

By H. S. Bear

Book information

Publisher
Dover Publications
Year
1999
ISBN
0486406784, 9780486406787
Language
english
Format
DJVU
Filesize
2 MB (2224928 bytes)
Series
Dover Books on Mathematics
Edition
Revised ed.
Pages
224\225
DPI
600
Time added
2016-04-25 16:11:22
Differential Equations;Applied;Mathematics;Science

Description

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.

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