Differential Equations: A Concise Course

H S Bear

ISBN 10: 0486406784 / ISBN 13: 9780486406787

Published by Dover Publications Inc., 2011

About this Item

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.

Seller Inventory # CIN0486406784G

Bibliographic Details

• Title: Differential Equations: A Concise Course
• Publisher: Dover Publications Inc.
• Publication Date: 2011
• Language: English
• ISBN 10: 0486406784
• ISBN 13: 9780486406787
• Binding: Paperback
• Condition: Good

About this title

Synopsis

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.