Applied partial differential equations
著者
書誌事項
Applied partial differential equations
Oxford University Press, c2003
Rev. ed
- : hbk
- : pbk
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注記
Previous ed.: 1999
Bibliography: p. 436-438
Includes index
内容説明・目次
- 巻冊次
-
: hbk ISBN 9780198527701
内容説明
This new edition, interspersed with numerous footnotes and topical exercises, is aimed at students of mathematics, engineering and physics seeking a comprehensive text in the applications of PDEs.
目次
- Introduction
- First-order scalar quasilinear equations
- First-order quasilinear systems
- Introduction to second-order scalar equations
- Hyperbolic equations
- Elliptic equations
- Parabolic equations
- Free boundary problems
- Non-quasilinear equations
- Miscellaneous topics
- Conclusion
- References
- Index
- 巻冊次
-
: pbk ISBN 9780198527718
内容説明
Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit
representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises.
This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs
目次
- Introduction
- First-order scalar quasilinear equations
- First-order quasilinear systems
- Introduction to second-order scalar equations
- Hyperbolic equations
- Elliptic equations
- Parabolic equations
- Free boundary problems
- Non-quasilinear equations
- Miscellaneous topics
- Conclusion
- References
- Index
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