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
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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. (EMS Newsletter)
John Ockendon and Sam Howison are both at O.C.I.A.M., University of Oxford. Andrew Lacey is at Heriot-Watt University. Alexander Movchan is at the University of Liverpool.
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