Green's Functions and Boundary Value Problems, 2nd Edition

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9780471610229: Green's Functions and Boundary Value Problems, 2nd Edition
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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.

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From the Publisher:

A Systematic analysis of boundary value problems and the principal methods used for their solution, including those based on Green's functions and eigenfunction expansions. Provides necessary background in functional analysis through the study of distributions, Hilbert spaces, integral equations, and spectral theory. Reviews of metric spaces and contraction mappings, spectral theory, transforms, and partial differential equations progress to a treatment of nonlinear problems, including bifurcation and monotone methods. Special sections provide careful derivations of equations in chemical reaction engineering; emphasis on dependence on the data overview of Green's function; a unified treatment of delta sequences; Riesz Schauder theory; and continuous spectrum. Also discusses modeling and approximation techniques such as perturbation theory and variational methods. Examples are chosen from a wide range of applications in engineering and physical sciences.

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).

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