Boundary Value Problems of Mathematical Physics, Vol. 1 SYNOPSIS
For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions.
Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory-subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.
Audience
Readers should have a background in advanced calculus and elementary complex variables in order to benefit from these volumes.
About the Author:
Ivar Stakgold is Professor Emeritus at the University of Delaware, where he has taught since 1975. He is a member of the editorial boards of the International Journal of Engineering Science, Journal of Integral Equations, and the Pitman Advanced Mathematics Program. He is Director of the Delaware Mathematics Coalition and his current research interests include nonlinear boundary value problems, combustion, and climatology. Dr. Stakgold is a former president of SIAM.
FROM THE CRITICS
Booknews
A graduate-level introduction to the mathematics needed for the modern approach to boundary value problems. It grew out of Stakgold's (U. of Delaware) series of courses at Harvard and later Northwestern, mainly to graduate students of engineering and the physical sciences. He directs attention to both analytic and approximate methods to solve linear boundary value problems, the first using either an eigenfunction expansion or a Green's function. The first volume is devoted primarily to the mathematical topics and their application to ordinary differential and integral equations, and the second to boundary value problems for partial differential equations; they are paged and indexed separately. They were originally part of Macmillan's Series in Advanced Mathematics and Theoretical Physics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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