Applied Partial Differential Equations

Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics. Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.

ISBN	0130652431	Pages	769
ISBN13	9780130652430 (What's this?)	Volumes	1
Publisher	Pearson Education (US)	Weight (grammes)	1226
Imprint	Pearson	Published in	Upper Saddle River
Format	Hardback	Previous ISBN	9780132638074
Publication date	26 Mar 2003	Height (mm)	235
Non-book description	xviii, 769 p. :	Width (mm)	178
Library of Congress	QA377	Spine width (mm)	30
DEWEY	515.353	Academic level	Professional / Scholarly
DEWEY edition	DC22

	Preface
1	Heat Equation	1
2	Method of Separation of Variables	35
3	Fourier Series	89
4	Wave Equation: Vibrating Strings and Membranes	135
5	Sturm-Liouville Eigenvalue Problems	157
6	Finite Difference Numerical Methods for Partial Differential Equations	222
7	Higher Dimensional Partial Differential Equations	275
8	Nonhomogeneous Problems	347
9	Green's Functions for Time-Independent Problems	380
10	Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations	445
11	Green's Functions for Wave and Heat Equations	508
12	The Method of Characteristics for Linear and Quasilinear Wave Equations	536
13	Laplace Transform Solution of Partial Differential Equations	591
14	Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods	621
	Bibliography	726
	Answers to Starred Exercises	731
	Index	751

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