Fourier Analysis / Edition 1

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Overview

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that demonstrate straightforward applications of formulas as well as more complex problems.
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Product Details

  • ISBN-13: 9780195043006
  • Publisher: Oxford University Press, USA
  • Publication date: 7/28/1988
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 462
  • Product dimensions: 6.20 (w) x 9.30 (h) x 1.30 (d)

Table of Contents

PART I: Introduction to Fourier Series
PART II: Convergence of Fourier Series
PART III: Applications of Fourier Series
PART IV: Some Harmonic Function Theory
PART V: Multiple Fourier Series
PART VI: Basic Theory of the Fourier Transform
PART VII: Applications of Fourier Transforms
1. Partial Differential Equations
2. Fourier Optics
PART VIII: Legendre Polynomials and Spherical Harmonics
PART IX: Some Other Transforms
1. The Laplace Transform
2. The Radon Transform
PART X: A Brief Introduction to Bessel Functions
A. Divergence of Fourier Series
B. Brief Tables of Fourier Series and Integrals

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