An Introduction to Partial Differential Equations

Yehuda Pinchover

ISBN 10: 052161323X / ISBN 13: 9780521613231

Published by Cambridge University Press, 2005

About this Item

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Bibliographic Details

• Title: An Introduction to Partial Differential Equations
• Publisher: Cambridge University Press
• Publication Date: 2005
• Language: English
• ISBN 10: 052161323X
• ISBN 13: 9780521613231
• Binding: Paperback / softback
• Condition: New

About this title

Synopsis

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 solutions@cambridge.org.

Book Description

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. There is a rich collection of worked examples and exercises to 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 whilst full solution sets are available to lecturers from solutions@cambridge.org.