By Russell L. Herman
This ebook is helping scholars discover Fourier research and its comparable themes, assisting them delight in why it pervades many fields of arithmetic, technology, and engineering.
This introductory textbook used to be written with arithmetic, technology, and engineering scholars with a heritage in calculus and easy linear algebra in brain. it may be used as a textbook for undergraduate classes in Fourier research or utilized arithmetic, which hide Fourier sequence, orthogonal capabilities, Fourier and Laplace transforms, and an advent to complicated variables. those issues are tied jointly via the appliance of the spectral research of analog and discrete signs, and supply an advent to the discrete Fourier rework. a few examples and workouts are supplied together with implementations of Maple, MATLAB, and Python for computing sequence expansions and transforms.
After interpreting this e-book, scholars should be commonplace with:
• Convergence and summation of countless series
• illustration of services by means of countless series
• Trigonometric and Generalized Fourier series
• Legendre, Bessel, gamma, and delta functions
• complicated numbers and functions
• Analytic capabilities 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 instructing awards, he has taught introductory via graduate classes in numerous parts together with utilized arithmetic, partial differential equations, mathematical physics, quantum conception, optics, cosmology, and common relativity. His study pursuits comprise issues in nonlinear wave equations, soliton perturbation concept, fluid dynamics, relativity, chaos and dynamical systems.
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Extra info for An Introduction to Fourier Analysis
An Introduction to Fourier Analysis by Russell L. Herman