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Beschreibung
The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and ?special functions? of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and ?special functions? of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.
Über den Autor
Leslie Copley, Professor Emeritus of Physics, Carleton University, Canada.
Details
Empfohlen (bis): 16
Empfohlen (von): 13
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: 446 S.
54 s/w Illustr.
6 farbige Illustr.
6 s/w Tab.
54 b/w and 6 col. ill.
6 b/w tbl.
ISBN-13: 9783110409451
ISBN-10: 3110409453
Sprache: Englisch
Einband: Gebunden
Autor: Copley, Leslie
Auflage: 1. Auflage
Hersteller: Sciendo
De Gruyter Open
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 246 x 175 x 33 mm
Von/Mit: Leslie Copley
Erscheinungsdatum: 15.12.2014
Gewicht: 1,022 kg
Artikel-ID: 104959354

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