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Beschreibung
This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.
This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.
Inhaltsverzeichnis
Preface; 1. Introduction; 2. The elements of distribution theory: Section 1. Basic Definitions and Facts; Section 2. Convolutions; 3. Examples of distributions; 4. Fourier transforms; 5. Tempered distributions; 6. Extension to higher dimensions; 7. A general definition of multiplication and convolution for distributions; Appendices; Bibliography; Index.
Details
Erscheinungsjahr: 2007
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521558907
ISBN-10: 0521558905
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Richards, Ian
Youn, Heekyung
Richards
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 9 mm
Von/Mit: Ian Richards (u. a.)
Erscheinungsdatum: 26.03.2007
Gewicht: 0,254 kg
Artikel-ID: 101140438

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