Introduction to partial differential equations /

Introduction to partial differential equations /

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Bibliographic Details
Author / Creator:	Pinchover, Yehuda, 1953-
Imprint:	New York : Cambridge University Press, 2005.
Description:	1 online resource (1 volume)
Language:	English
Subject:	Differential equations, Partial -- Textbooks. Differential equations, Partial. Textbooks. Textbooks.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11811739

Hidden Bibliographic Details
Other authors / contributors:	Rubinstein, Jacob, 1955-
ISBN:	0511111576 9780511111570 9780511197963 0511197969 9780511801228 051180122X 0521848865 9780521848862 052161323X 9780521613231 0521848865 052161323X 9780521613231 9780521848862
Notes:	Includes bibliographical references and index. Print version record.
Summary:	A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics, and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties, and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variable, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples.
Other form:	Print version: Pinchover, Yehuda, 1953- Introduction to partial differential equations. New York : Cambridge University Press, 2005 0521848865 052161323X
Standard no.:	9780521613231

Table of Contents:

Introduction
First-order equations
Second-order linear equations
The 1D wave equation
Separation of variables
Sturm-Liouville problem
Elliptic equations
Green's function and integral representation
Equations in high dimensions
Variational methods
Numerical methods
Solutions of odd-numbered problems.