Analytic methods for partial differential equations / G. Evans, J. Blackledge, and P. Yardley.

Format:

Book

Author/Creator:

Evans, Gwynne.

Contributor:

Blackledge, J. M. (Jonathan M.)

Yardley, P. (Peter), 1948-

Series:

Springer undergraduate mathematics series

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Physical Description:

xii, 299 pages : illustrations ; 24 cm.

Place of Publication:

London ; New York : Springer, [2000]

Summary:

The subject of partial differential equations holds an exciting place in mathematics. At one extreme the interest lies in the existence and uniqueness of solutions, and the functional analysis of the proofs of these properties. At the other extreme lies the applied mathematical and engineering quest to find useful solutions, either analytically or numerically, to these important equations which can be used in design and construction. The objective of this book is to actually solve equations rather than discuss the theoretical properties of their solutions. The topics are approached practically, without losing track of the underlying mathematical foundations of the subject. The topics covered include the separation of variables, the characteristic method, D'Alembert's method, integral transforms and Green's functions. Numerous exercises are provided as an integral part of the learning process, with solutions provided in a substantial appendix.

Contents:

Mathematical preliminaries

Separation of the variables

First-order equations and hyperbolic second-order equations

Integral transforms

Green's functions.

Notes:

Includes bibliographical references (pages 293-295) and index.

ISBN:

3540761241

9783540761242

OCLC:

41540326

Publisher Number:

99947894560

Online:

Publisher description