Applied Partial Differential Equations
Series: Oxford Texts in Applied and Engineering Mathematics;
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Product details:
- Edition number Rev ed, Revised
- Publisher OUP Oxford
- Date of Publication 5 June 2003
- ISBN 9780198527718
- Binding Paperback
- No. of pages462 pages
- Size 240x168x25 mm
- Weight 811 g
- Language English
- Illustrations numerous figures 0
Categories
Short description:
Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises including: American options, transform methods, free surface flows, linear elasticity and complex characteristics .
MoreLong description:
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
The book is very well written, equipped with numerous exercises and applications and will serve as a very good textbook both for masters and PhD students.
Table of Contents:
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
