Solution Techniques for Elementary Partial Differential Equations

Christian Constanda

ISBN 10: 1584882573 / ISBN 13: 9781584882572

Published by Chapman and Hall/CRC, USA, 2002

About this Item

Solution Techniques for Elementary Partial Differential Equations is a no-frills text that explains completely but succinctly some of the most important and widely used solution methods for PDEs, including separation of variables, eigenfunction expansion, Fourier and Laplace transformations, Green's functions, and asymptotic expansions. A good, clean and tight copy.

Seller Inventory # 04551

Bibliographic Details

• Title: Solution Techniques for Elementary Partial Differential Equations
• Publisher: Chapman and Hall/CRC, USA
• Publication Date: 2002
• Language: English
• ISBN 10: 1584882573
• ISBN 13: 9781584882572
• Binding: Soft cover
• Edition: 5th or later Edition
• Condition: Very Good
• Dust Jacket Condition: Pictorial soft covers

About this title

Synopsis

Of the many available texts on partial differential equations (PDEs), most are too detailed and voluminous, making them daunting to many students. In sharp contrast, Solution Techniques for Elementary Partial Differential Equations is a no-frills treatment that explains completely but succinctly some of the most fundamental solution methods for PDEs.

After a brief review of elementary ODE techniques and discussions on Fourier series and Sturm-Liouville problems, the author introduces the heat, Laplace, and wave equations as mathematical models of physical phenomena. He then presents a number of solution techniques and applies them to specific initial/boundary value problems for these models. Discussion of the general second order linear equation in two independent variables follows, and finally, the method of characteristics and perturbation methods are presented.

Most students seem to like concise, easily digestible explanations and worked examples that let them see the techniques in action. This text offers them both. Ideally suited for independent study and classroom tested with great success, it offers a direct, streamlined route to competence in PDE solution techniques.

About the Author

Christian Constanda is the Charles W. Oliphant Endowed Chair in Mathematical Sciences in the Department of Mathematical and Computer Sciences at the University of Tulsa. He is also an Emeritus Professor at the University of Strathclyde in Glasgow, UK.