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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 (Taschenbuch, Englisch)
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Beschreibung
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. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn the basic theory of linear integral equations and their numerical solution." (Math. Reviews, 2000) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract." (ZbMath, 1999) Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
27.08.2016
Sprache
Englisch
EAN
9781493950164
Herausgeber
Springer US
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Rainer Kress
Seitenanzahl
412
Auflage
3
Einbandart
Taschenbuch
Schlagwörter
Hölder spaces, Nyström method, Riesz-Fredholm therory, Sobolev spaces, boundary integral equations, dual systems, ill-posed problems, inverse problems, projection methods, regularization
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKS - Numerische Mathematik
PBKL - Integralrechnung und -gleichungen
TJF - Elektronik
UYS - Digitale Signalverarbeitung (DSP)
Höhe
235 mm
Breite
15.5 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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