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## Applied Mathematical Sciences 82: Linear Integral Equations, Second Edition (Hardback)"in the the ten years since the first edition of this book appeared, integral equations and integral operators have revealed more of their mathematical beauty and power to me. Therefore, I am pleased to have the opportunity to share some of these new insights with the readers of this book." — Rainer Kress, Author, in the Preface to the Second Edition ## $115.25 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing only the slightest signs of use and wear. It was printed on acid-free paper.

## Description

From the Preface to the First Edition: “An introduction to integral equations cannot present a complete picture of all classical aspects of the theory and of all recent developments. In this sense, this book intends to tell the reader what I think appropriate to teach students in a two-semester course on integral equations. I am willing to admit that the choice of a few of the topics might be biased by my own preferences and that some important subjects are omitted.”

From the back cover: “This book originated from the author’s fascination with the mathematical beauty of integral equations. It is an attempt to combine theory, applications, and numerical methods, and cover each of these with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers, the author has made the work as self-contained as possible, by requiring only a sold foundation in differential and integral calculus. The functional analysis which is necesary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book. Problems are included at the end of each chapter.

“For the second edition, in addition to corrections and adjustments throughout the text, as well as an updated reference section, new topics have been added.”

**CHAPTERS**

- Normed Spaces
- Bounded and Compact Operators
- Riesz Theory
- Dual Systems and Fredholm Alternative
- Regularization in Dual Systems
- Potential Theory
- Singular Integral Equations
- Sobolev Spaces
- The Heat Equation
- Operator Approximations
- Degenerate Kernel Approximation
- Quadrature Methods
- Projection Methods
- Iterative Solution and Stability
- Equations of the First Kind
- Tikhonov Regularization
- Regularization by Discretization
- Inverse Boundary Value Problems

## Details

- SKU:
- 2490
- Author:
- Kress, Rainer
- Publisher:
- Springer
- Publish Date:
- 1999
- Format:
- Hardback
- Weight (pounds):
- 1.49
- Dimensions (W”xL”xH”):
- 6.3″x9.4″x0.9″
- ISBN-13:
- 9780387987002
- ISBN-10:
- 0387987002
- Series:
- Applied Mathematical Sciences Series from Springer-Verlag

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