Green's Functions and Boundary Value Problems / Edition 3

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Overview

This updated version of a popular applied math book reflects the changes in the field and includes new material on modeling and nonlinear analysis as well as additional exercises and problems.
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Editorial Reviews

Booknews
Presents a down-to-earth approach to using differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics. The author 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. The second edition retains popular features such as chapter introductions, clear explanations of basic concepts, and plentiful exercises. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

Meet 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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Table of Contents

Preface to the Second Edition
Preface to the First Edition
Preliminaries 1
1 Green's Functions (Intuitive Ideas) 53
2 The Theory of Distributions 97
3 One-Dimensional Boundary Value Problems 201
4 Hilbert and Banach Spaces 242
5 Operator Theory 317
6 Integral Equations 370
7 Spectral Theory of Second-Order Differential Operators 435
8 Partial Differential Equations 491
9 Nonlinear Problems 597
Index 683
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