Synopses & Reviews
This revised and updated Second Edition of Green's Functions and Boundary Value Problems maintains a careful balance between sound mathematics and meaningful applications. Central to the text is a down-to-earth approach that shows the reader how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics.
Ivar Stakgold incorporates developments that have altered the field of applied mathematics in recent decades—particularly in areas of modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods. This modernized text, however, retains the many features that made its predecessor one of the most successful graduate-level texts of its kind, including:
- A unique blend of topics
- A balanced discussion of theory and applications
- 44 illustrations and numerous practical examples that supplement the text
- Chapter introductions and clear explanations of basic concepts
- Plentiful exercises, many of which are new to this edition
Green's Functions and Boundary Value Problems is an ideal text for a modern course in applied mathematics designed for students in the physical sciences, engineering, and mathematics. It is also an excellent reference for practicing professionals in these areas.
About the Author
IVAR STAKGOLD, PhD, is Professor and former chair of the Department of Mathematical Sciences at the University of Delaware. He is also the former president of SIAM (Society for Industrial and Applied Mathematics).
Table of Contents
Green's Functions (Intuitive Ideas).
The Theory of Distributions.
One-Dimensional Boundary Value Problems.
Hilbert and Banach Spaces.
Operator Theory.
Integral Equations.
Spectral Theory of Second-Order Differential Operators.
Partial Differential Equations.
Nonlinear Problems.
Index.