Title Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein

Published New York : Cambridge University Press, 2005

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Description 1 online resource (1 volume) 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 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 Bibliography Includes bibliographical references and index Notes Print version record Subject Differential equations, Partial -- Textbooks Differential equations, Partial. MATHEMATICS -- Differential Equations -- Partial. Differential equations, Partial. Differential equations, Partial Partielle Differentialgleichung Análise matemática (textos elementares) Equações diferenciais parciais (textos elementares) Genre/Form Textbooks Textbooks. Lehrbuch. Form Electronic book Author Rubinstein, Jacob, 1955- ISBN 0511111576 9780511111570 9780511197963 0511197969 9780511801228 051180122X 0521848865 9780521848862 052161323X 9780521613231

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