A First Course in Fourier Analysis

David W. Kammler

ISBN 10: 0521709792 / ISBN 13: 9780521709798

Published by Cambridge University Press, 2008

About this Item

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.

Seller Inventory # 9780521709798

Bibliographic Details

• Title: A First Course in Fourier Analysis
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0521709792
• ISBN 13: 9780521709798
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 244W x 170H x 46D millimeters 244 millimeters width by 170 millimeters height by 46 millimeters depth
• Weight: 1456 grams

About this title

Synopsis

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

Book Description

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.