Linear integral equations
Author(s)
Bibliographic Information
Linear integral equations
（Applied mathematical sciences, v. 82）
Springer, 1999
2nd ed
Available at / 44 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
KRE||13||1(2)99023988
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Note
Includes bibliographical references (p. [347]-359) and index
Description and Table of Contents
Description
The result of the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. Problems are included at the end of each chapter.
Table of Contents
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.- References.- Index.
by "Nielsen BookData"
