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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Linear Integral Equations
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Linear Integral Equations
Rainer Kress (Gebundene Ausgabe, Englisch)
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Beschreibung
I fell in love with integral equations about twenty years ago when I was working on my thesis, and I am still attracted by their mathematical beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend… to cover each of these fields with the same weight. The first part provides the basic Riesz-Fredholm theory for equa tions of the second kind with compact opertors in dual systems including all functional analytic concepts necessary for developing this theory. The second part then illustrates the classical applications of integral equation methods to boundary value problems for the Laplace and the heat equation as one of the main historical sources for the development of integral equations, and also in troduces Cauchy type singular integral equations. The third part is devoted to describing the fundamental ideas for the numerical solution of integral equa tions. Finally, in a fourth part, ill-posed integral equations of the first kind and their regularization are studied in a Hilbert space setting. In order to make the book accessible not only to mathematicans but also to physicists and engineers I have planned it as self-contained as possible by requiring only a solid foundation in differential and integral calculus and, for parts of the book, in complex function theory. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
10.08.1989
Sprache
Englisch
EAN
9783540506164
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Rainer Kress
Seitenanzahl
299
Einbandart
Gebundene Ausgabe
Bandzählung
82
Schlagwörter
calculus, functional analysis, numerical solutions, Integral equation, x integral equations, numerical methods, differential equation, Hilbert space, Riesz-Fredholm theory, Integral calculus
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
Höhe
235 mm
Breite
15.5 cm
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