An Introduction to Fourier Analysis

This book can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which covers Fourier series and orthogonal functions, Fourier and Laplace transforms and an introduction to complex variables. These topics are tied together through the application of the spectral analysis of analog and discrete signals. Its emphasis on applications makes it suitable for courses with students from different backgrounds. The textbook has been extensively class-tested over the past 10 years.

Dr. Russell L. Herman is a professor in the departments of Mathematics & Statistics and Physics & Physical Oceanography. His research has been in nonlinear evolution equations, soliton perturbation theory, fluid dynamics, relativity, quantum mechanics, chaos and dynamical systems, signal analysis and investigations into instructional uses of technology in mathematics and science

Review of Sequences and Infinite Series. Fourier Trigonometric Series. Generalized Fourier Series and Function Spaces. Complex Analysis. Fourier and Laplace Transforms. From Analog to Discrete Signals. Signal Analysis.