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An Introduction to Fourier Analysis

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by Russell L. Herman
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An Introduction to Fourier Analysis by Russell L. Herman

This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering.

This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms.

After reading this book, students will be familiar with:

• Convergence and summation of infinite series

• Representation of functions by infinite series

• Trigonometric and Generalized Fourier series

• Legendre, Bessel, gamma, and delta functions

• Complex numbers and functions

• Analytic functions and integration in the complex plane

• Fourier and Laplace transforms.

• The relationship between analog and digital signals

Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynami

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Ebook Details
Pages: 402
Size: 8.3 MB
Publisher: Chapman and Hall/CRC
Date published:   2016
ISBN: 9781498773720 (DRM-EPUB)
9781498773713 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Functional Analysis

This author has products in the following categories:

Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Arithmetic
Nonfiction > Mathematics > Functional Analysis

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