An Introduction to Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book An Introduction to Partial Differential Equations by Yehuda Pinchover, Jacob Rubinstein, Cambridge University Press
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Author: Yehuda Pinchover, Jacob Rubinstein ISBN: 9781139637251
Publisher: Cambridge University Press Publication: May 12, 2005
Imprint: Cambridge University Press Language: English
Author: Yehuda Pinchover, Jacob Rubinstein
ISBN: 9781139637251
Publisher: Cambridge University Press
Publication: May 12, 2005
Imprint: Cambridge University Press
Language: English

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 whilst extended solution sets are available to lecturers from solutions@cambridge.org.

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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 whilst extended solution sets are available to lecturers from solutions@cambridge.org.

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