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An Introduction to Fourier Analysis
SPAR
kr 376
An Introduction to Fourier Analysis

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 dynamical systems.

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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 dynamical systems.

Produktdetaljer
Sprog: Engelsk
Sider: 402
ISBN-13: 9781498773706
Indbinding: Hardback
Udgave:
ISBN-10: 1498773702
Udg. Dato: 19 aug 2016
Længde: 27mm
Bredde: 286mm
Højde: 235mm
Oplagsdato: 19 aug 2016
Forfatter(e) Russell L. (University of North Carolina Herman, Russell L. Herman


Kategori Funktionsanalyse og transformation


Sprog Engelsk


Indbinding Hardback


Sider 402


Udgave


Længde 27mm


Bredde 286mm


Højde 235mm

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