An Introduction to Partial Differential Equations / Edition 1

by Yehuda Pinchover, Jacob Rubinstein

Overview

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 variables, 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. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from [e-mail].

Product Details

ISBN-13:	9780521613231
Publisher:	Cambridge University Press
Publication date:	05/12/2005
Edition description:	New Edition
Pages:	384
Product dimensions:	6.81(w) x 9.61(h) x 0.71(d)

Table of Contents

1. Introduction; 2. First-order equations; 3. Second-order linear equations; 4. The 1D wave equation; 5. Separation of variables; 6. Sturm-Liouville problem; 7. Elliptic equations; 8. Green's function and integral representation; 9. Equations in high dimensions; 10. Variational methods; 11. Numerical methods; 12. Solutions of odd-numbered problems.

Editorial Reviews

"This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity, balance and conciseness, achieved without compromising the mathematical rigor. One particularly attractive feature is the way in which the authors managed to emphasize the relevance of the theoretical tools in connection with practical applications."
Mathematical Reviews

From the Publisher