Applied Partial Differential Equations

Applied Partial Differential Equations

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Summary

This is a guide to the theory and applications of PDEs. Its central aim is to set out 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 is the concept of well-posedness.

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Applied Partial Differential Equations by Jr Ockendon

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.
SKU Unavailable
ISBN 13 9780198532439
ISBN 10 0198532431
Title Applied Partial Differential Equations
Author Jr Ockendon
Condition Unavailable
Binding Type Paperback
Publisher Oxford University Press
Year published 1999-10-01
Number of pages 440
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.