tailieunhanh - AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

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, with particular emphasis on developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some fundamental equations of mathematical physics from basic principles, the book studies first-order equat | Yehuda Pỉnchover Jacob Rubinstein An introduction to Partial Differential Equations Cambridge Cambridge more information - 9780521848862 This page intentionally left blank AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 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 with particular emphasis on developing an appreciation of underlying mathematical theory. Beginning with basic definitions properties and derivations of some fundamental equations of mathematical physics from basic principles the book studies first-order equations the 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 and hints to selected exercises are included for students whilst extended solution sets are available to lecturers from .

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