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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| Online Access: |
Full Text (via Cambridge) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2005.
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| 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. |
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| Physical Description: | 1 online resource (1 volume) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0511111576 9780511111570 9780511197963 0511197969 9780511801228 051180122X 0521848865 9780521848862 052161323X 9780521613231 |
| DOI: | 10.1017/CBO9780511801228 |
| Source of Description, Etc. Note: | Print version record. |