A First Course in Fourier Analysis

David W. Kammler

ISBN 10: 0521709792 / ISBN 13: 9780521709798

Editore: Cambridge University Press, 2008

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Druck auf Anfrage Neuware - Printed after ordering - This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Codice articolo 9780521709798

Dati bibliografici

• Titolo: A First Course in Fourier Analysis
• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0521709792
• ISBN 13: 9780521709798
• Rilegatura: Taschenbuch
• Edizione: seconda edizione
• Condizione: Neu

Descrizione articolo

Riassunto

This book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.

Descrizione del libro

Introducing applied mathematics through Fourier analysis, this book develops a unified theory of discrete and continuous Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.