Linear Integral Equations
Seiten
1999
|
2nd ed. 1999
Springer-Verlag New York Inc.
978-0-387-98700-2 (ISBN)
Springer-Verlag New York Inc.
978-0-387-98700-2 (ISBN)
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Conveying the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, all developed within the text. The 2nd edition includes new topics, and problems at the end of each chapter.
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.
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.
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.
Erscheint lt. Verlag | 1.4.1999 |
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Reihe/Serie | Applied Mathematical Sciences ; 82 |
Zusatzinfo | 14 black & white tables, biography |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 719 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 0-387-98700-2 / 0387987002 |
ISBN-13 | 978-0-387-98700-2 / 9780387987002 |
Zustand | Neuware |
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