Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein.
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 theor...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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New York :
Cambridge University Press,
2005.
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| Subjects: |
| 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. "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, putting particular emphasis into developing an appreciation of underlying mathematical theory." "A rich collection of worked examples and exercises accompanies the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises and included for students, while extended solution sets are available to lecturers from www.cambridge.org/052161323X."--BOOK JACKET. |
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| Physical Description: | xii, 371 pages : illustrations ; 26 cm |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0521848865 9780521848862 052161323X 9780521613231 |