Applied Partial Differential Equations

Paperback | September 12, 2003

byJohn Ockendon, Sam Howison, Andrew Lacey

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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 guideto 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; Americanoptions; 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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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 guideto the theory and applications of PDEs, provi...

John Ockendon and Sam Howison are both at OCIAM, University of Oxford. Andrew Lacey is at Heriot-Watt University. Alexander Movchan is at the University of Liverpool.

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Format:PaperbackDimensions:462 pages, 9.45 × 6.61 × 0.99 inPublished:September 12, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198527713

ISBN - 13:9780198527718

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Table of Contents

IntroductionFirst-order scalar quasilinear equationsFirst-order quasilinear systemsIntroduction to second-order scalar equationsHyperbolic equationsElliptic equationsParabolic equationsFree boundary problemsNon-quasilinear equationsMiscellaneous topicsConclusionReferencesIndex

Editorial Reviews

'For departments still offering serious PDE courses, Applied Partial Differential Equations provides a comprehensive and challenging text ... Able mathematics undergraduates ... should all find something they can take from the text ... There are numerous footnotes providing helpful physicalexplanations ... The end of each chapter is well furnished with interesting exercises' THES