Item description for Analytic Methods for Partial Differential Equations by Gary A. Evans, J. Blackledge & P. Yardley...
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.
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Est. Packaging Dimensions: Length: 0.75" Width: 7" Height: 9.5" Weight: 1.15 lbs.
Release Date Nov 23, 1999
ISBN 3540761241 ISBN13 9783540761242
Availability 0 units.
More About Gary A. Evans, J. Blackledge & P. Yardley
G. R. Evans lectures in history and moral theology in the University of Cambridge. Her books include Wyclif: Myth and Reality and Faith in the Medieval World.
G. Evans was born in 1944 and has an academic affiliation as follows - University of Leeds.
Reviews - What do customers think about Analytic Methods for Partial Differential Equations?
feedback by RMd Jan 19, 2007
i think it's a good text; chapters are well explained, and many exercises are shown with detailed solution; very useful examples with applied physics are done. maybe a little chapter on the link with conformal mappings would be very interesting; anyway, i think it's a very good tool for students and post graduates.
Useful as a first reading Mar 14, 2005
This textbook treats the subject of partial differential equations on a quite elementary level. In a leisurley fashion (no definitions and proofs) the subject is developed for readers having only a background in analysis of several variables and the theory of complex functions. Very nice is the introdction to the theory of distributions. Here and in the other parts of the book the emphasis is on concrete calculations in science and engineering rather than the mathematical structure of the theory.
The book covers separation of variables, Fourier and Laplace transforms and the theory of Green functions. Exercises with solutions make this book well suited for self study. However there are not many but more than a few mistakes and inaccuracies, which could make the book hard going for beginners. But by patiently solving these issues the reader will benefit from this text
Good as an introduction Apr 6, 2000
This text is a more or less modern approach to a classical subjet. The way it tackles the solution of PDE's, though stated in a modern language, is indeed dated, I mean, it employs mostly the traditional "down-to-earth" analytic approach instead of the more modern and efficient operator approach. However, undergraduate students will find it very useful to get acquainted with practical methods for actually solving PDE's, and then they can proceed to deeper study on the analytic properties of the solutions (the real goal of abstract PDE theory).
Some of the topics covered in the book are orthogonal functions, separation of variables, the characteristic method, D'Alembert's method, integral transforms, Green's fuctions, and more.
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