Applied Partial Differential Equations

Ockendon, John,Howison, Sam,Lacey, Andrew,Movchan, Alexander

ISBN 10: 0198532431 / ISBN 13: 9780198532439

Published by Oxford University Press, 1999

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Synopsis:

Partial differential equations (PDEs) are a central concept in mathematics. Their power lies in their universality: there is a huge and ever-growing range of real-world phenomena to which they can be applied, from fluid mechanics and electromagnetism to probability and finance. This is an enthusiastically and clearly written guide to the theory and applications of PDEs. Its central aim is to set out, in an informal yet rigorous manner, a mathematical framework within which to assess any given PDE. Space is devoted as much to explicit methods of solution as to more general qualitative ideas, the most important of which is the concept of well-posedness. This attribute is vital in deciding the accuracy to which the problem can be solved numerically, and it becomes increasingly important as the power of computer software grows. Prerequisites here have been kept to a minimum: some familiarity with ordinary differential equations, functions of a single complex variable, and the calculus of functions of several real variables are all that is needed. This book is intended for final year undergraduates and graduate students in applied mathematics and engineering.

Review: 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)

Bibliographic Details

Title: Applied Partial Differential Equations
Publisher: Oxford University Press
Publication Date: 1999
Binding: paperback
Condition: Very Good