Partial Differential Equations: Analytical Solution Techniques - Hardcover

Kevorkian, J.

Hardcover

ISBN 10: 0412051311 ISBN 13: 9780412051319

Publisher: Chapman and Hall/CRC, 1990

Synopsis

This highly applied text is ideal where an informal approach to partial differential equations is desired (i.e. where theorem-proof approach is not necessary.) Most chapters start with physical examples. A unified treatment of linear problems is provided, plus a comprehensive discussion of nonlinear theory that includes the effect of shock waves. Perturbation method is given a thoroughly up-to-date treatment in Chapter Eight. Furthermore each chapter concludes with problems and references.

About this title

Review

From the reviews of the second edition:

"The book provides a well chosen collection of analytical solution techniques by applications to a wide class of problems of mathematical physics. It will be useful for the researchers in PDE-s, physicists, engineers and also for students with basic knowledge in vector calculus, ODE-s and PDE-s." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 71, 2005)

"This is the revised and enlarged second edition of a text book on partial differential equations. ... the book gives a good overview of a large number of analytic solution techniques for both linear and nonlinear partial differential equations ... . In addition, the author always tries to include information on the applications that lead to a particular equation and to use an intuitive approach explaining the mechanisms behind the observed phenomena. ... it is definitely an interesting source for both students and teachers." (G. Teschl, Monatshefte für Mathematik, Vol. 133 (4), 2001)

"The text presents the classical, analytical techniques used by applied mathematicians, scientist, and engineers to solve problems. ... The Kevorkian text is an outstanding treatment of classical PDEs and applications suitable for beginning graduate students in mathematics and applied science. It represents what ‘everyone should know’ about PDE methods ... . If I had to recommend a single book to a research engineer who wanted to learn the basic, analytical tools of PDEs ... I might select this book." (J. David Logan, SIAM Review, Vol. 42 (3), 2000)

From the Back Cover

"This book contains a broad treatment of partial differential equations that arise in the sciences and engineering, particularly emphasizing the analytical solution techniques. In each chapter the author discusses the important applications that lead to the class of equations to be studied, presents different methods for tackling these equations, and concludes with a selection of instructive problems. A relevant bibliography has also been included at the end of this book."--BOOK JACKET. "Students and researchers in the sciences and engineering will find this book useful."--BOOK JACKET.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1990
• Language: English
• ISBN 10: 0412051311
• ISBN 13: 9780412051319
• Binding: Hardcover
• Edition number: 1
• Number of pages: 552