This book is a compilation of the most widely applicable methods for solving and approximating differential equations. It provides convenient access to these methods and contains numerous examples showing their use. Topical coverage includes ordinary differential equations, partial differential equations, stochastic differential equations, delay differential equations, sympletic integration of differential equations, and the use of wavelets when numerically solving differential equations.
This book is an invaluable tool for any student studying differential equations or their applications, and is an excellent addition to the library of any practicing engineer, using differential equations.
Audience: Students and practitioners of applied mathematics and engineering, where the solution or approximation of differential equations is necessary.
A reference rather than a teaching tool, describing the most widely used techniques for solving both ordinary and partial differential equations. Addressed to students taking courses in such equations at the graduate or undergraduate level and to engineers and scientists who are already familiar with differential equations and their solutions. The only date mentioned for earlier versions is 1989. A version is available with a companion CD-ROM. Annotation c. by Book News, Inc., Portland, Or.
Zwillinger (math, Rensselaer Polytech. Inst.) covers material taught in undergrad ordinary differential equation courses as well as advanced specialized techniques for partial differential equations. Assumes familiarity with differential equations and their solutions. Annotation c. Book News, Inc., Portland, OR (booknews.com)
(Chapter Headings) Definitions and Concepts. Transformations. Exact Analytical Methods. Exact Methods for ODEs. Exact Methods for PDEs. Approximate Analytical Methods. Numerical Methods: Concepts. Numerical Methods for ODEs. Numerical Methods for PDEs. List of Tables. List of Programs. List of Figures. Subject Index.