By Russell L. Herman
This booklet is helping scholars discover Fourier research and its comparable issues, supporting them delight in why it pervades many fields of arithmetic, technological know-how, and engineering.
This introductory textbook used to be written with arithmetic, technology, and engineering scholars with a history in calculus and simple linear algebra in brain. it may be used as a textbook for undergraduate classes in Fourier research or utilized arithmetic, which disguise Fourier sequence, orthogonal capabilities, Fourier and Laplace transforms, and an creation to advanced variables. those issues are tied jointly by way of the appliance of the spectral research of analog and discrete indications, and supply an advent to the discrete Fourier remodel. a couple of examples and workouts are supplied together with implementations of Maple, MATLAB, and Python for computing sequence expansions and transforms.
After examining this publication, scholars may be everyday with:
• Convergence and summation of limitless series
• illustration of capabilities via countless series
• Trigonometric and Generalized Fourier series
• Legendre, Bessel, gamma, and delta functions
• complicated numbers and functions
• Analytic services and integration within the advanced plane
• Fourier and Laplace transforms.
• the connection among analog and electronic signals
Dr. Russell L. Herman is a professor of arithmetic and Professor of Physics on the college of North Carolina Wilmington. A recipient of numerous educating awards, he has taught introductory via graduate classes in numerous components together with utilized arithmetic, partial differential equations, mathematical physics, quantum thought, optics, cosmology, and basic relativity. His examine pursuits contain issues in nonlinear wave equations, soliton perturbation thought, fluid dynamics, relativity, chaos and dynamical systems.
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Extra resources for An Introduction to Fourier Analysis
An Introduction to Fourier Analysis by Russell L. Herman