By Russell L. Herman

This booklet is helping scholars discover Fourier research and its similar themes, 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 heritage 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 conceal Fourier sequence, orthogonal services, Fourier and Laplace transforms, and an advent to advanced variables. those subject matters are tied jointly by means of the appliance of the spectral research of analog and discrete indications, 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 analyzing this ebook, scholars should be well-known with:

• Convergence and summation of endless series

• illustration of capabilities via endless series

• Trigonometric and Generalized Fourier series

• Legendre, Bessel, gamma, and delta functions

• advanced 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 collage 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 thought, optics, cosmology, and normal relativity. His learn pursuits comprise issues in nonlinear wave equations, soliton perturbation idea, fluid dynamics, relativity, chaos and dynamical systems.