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Elementary Course in Partial Differential Equations

ISBN-10: 076376244X

ISBN-13: 9780763762445

Edition: 2nd 2009 (Revised)

Authors: T. Amaranath

List price: $149.95
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Description:

"An Elementary Course in Partial Differential Equations is a concise, 1-term introduction to partial differential equations for the upper-level undergraduate/graduate course in Mathematics, Engineering and Science. Divided into two accessible parts, the first half of the text presents first-order differential equations while the later half is devoted to the study of second-order partial differential equations. Numerous applications and exercises throughout allow students to test themselves on key material discussed."--BOOK JACKET.
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Book details

List price: $149.95
Edition: 2nd
Copyright year: 2009
Publisher: Jones & Bartlett Learning, LLC
Publication date: 10/24/2008
Binding: Hardcover
Pages: 156
Size: 7.25" wide x 9.50" long x 0.50" tall
Weight: 0.990
Language: English

First Order Partial Differential Equations
Curves and Surfaces
Genesis of First Order P.D.E.
Classification of Integrals
Linear Equations of the First Order
Pfaffian Differential Equations
Compatible Systems of First Order P.D.E.
Charpit's Method
Jacobi's Method
Integral Surfaces Through a Given Curve
Quasi-Linear Equations
Non-Linear First Order P.D.E.
Second Order Partial Differential Equations
Genesis of Second Order P.D.E.
Classification of Second Order P.D.E.
One Dimensional Wave Equation
Laplace's Equation
Heat Conduction Problem
Duhamel's Principle
Classification in the Case of n-Variables
Families of Equipotential Surfaces
Kelvin's Inversion Theorem
Fourier Transforms and Integrals
Fourier Integral Theorem
Properties of Fourier Transform
Examples
Convolution Theorem
Vibrations of an Infinite String
Additional Problems
Suggested Reading
Index