Customer Reviews

Introduction to Integral Equations with Applications

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Clearly written, this book offers to the non-specialist the theoretical framework as well as the numerical methods of the integral equations (IE). The book does not require strong skills in maths. It provides a useful classification of the IE. The link between IE and Boundary Value problems is clearly explicited.

The book is formed as following:
1/IE, origin and basic tools
2/Modeling of problems as IE
3/Volterra IE
4/Green's function
5/Fredholm IE
6/Existence of the solutions; Basic fixed point theorems
7/Higher quadrature rules for numerical solutions
A/Hankel transforms
B/GF for various Bounadry Value problems
Answers to exercises

This book is intended for absolute beginners in IE. It is effectively an excellent introduction to the world of IE (see also the Hochstadt). Readers more familiar with should turn to Estrada & Kanwal, or to Muskhelishvili.

The book represents a well-written and richly illustrated by examples textbook for those who want to be introduced to the topic... The book...might be very useful for engineers and students. Special features, distinguishing the book from others...are simple exposition, ample examples, and detailed solution manual for the exercises.
Highly recommended.

The Solutions manual can be found at:

http://www.amazon.com/exec/obidos/tg/detail/-/0967330106/qid=1141351808/sr=1-3/ref=sr_1_3/104-2033616-3607961?v=glance&s=books

It is the only solution manual for a book in integral equations with solutions to the exercises and many extra problems.

Published by a different publisher than Wiley and Sons, it is
Sampling Publishing
(...)

Since the 19th century, integral equations have been used to solve physical and engineering problems instead differential equations. Only on the beginning of 20th century the theory of this kind of equations were properly formalized by Fredholm. On this book, the integral equation problem is presented to the reader and tools for solving them are also provided. Several examples of practical applications are given in the areas of mathematic, physics and engineering. This book is particularly useful for those who want study the Boundary Element Method, with is based on integral equations.