Applied Partial Differential Equations (Oxford Texts in Applied & Engineering Mathematics Revised edition)

Applied Partial Differential Equations (Oxford Texts in Applied & Engineering Mathematics Revised edition)

By: John R. Ockendon (author)Paperback

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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

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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

Product Details

  • publication date: 05/06/2003
  • ISBN13: 9780198527718
  • Format: Paperback
  • Number Of Pages: 462
  • ID: 9780198527718
  • weight: 811
  • ISBN10: 0198527713
  • edition: Revised edition

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