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An Introduction to Fourier Analysis and Generalised Functions
Taschenbuch von M. J. Lighthill (u. a.)
Sprache: Englisch

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Beschreibung
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students, and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple, widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients.
Inhaltsverzeichnis
1. Introduction; 2. The theory of generalised functions and their Fourier transforms; 3. Definitions, properties and Fourier transforms of particular generalised functions; 4. The asymptotic estimation of Fourier transforms; 5. Fourier series; Index.
Details
Erscheinungsjahr: 2003
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521091282
ISBN-10: 0521091284
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lighthill, M. J.
M. J., Lighthill
Redaktion: Batchelor, G. K.
Hersteller: Cambridge University Press
Maße: 216 x 140 x 6 mm
Von/Mit: M. J. Lighthill (u. a.)
Erscheinungsdatum: 10.04.2003
Gewicht: 0,148 kg
Artikel-ID: 102535089
Inhaltsverzeichnis
1. Introduction; 2. The theory of generalised functions and their Fourier transforms; 3. Definitions, properties and Fourier transforms of particular generalised functions; 4. The asymptotic estimation of Fourier transforms; 5. Fourier series; Index.
Details
Erscheinungsjahr: 2003
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780521091282
ISBN-10: 0521091284
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Lighthill, M. J.
M. J., Lighthill
Redaktion: Batchelor, G. K.
Hersteller: Cambridge University Press
Maße: 216 x 140 x 6 mm
Von/Mit: M. J. Lighthill (u. a.)
Erscheinungsdatum: 10.04.2003
Gewicht: 0,148 kg
Artikel-ID: 102535089
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