Applied Partial Differential Equations Rev. Ed.

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.

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