An Introduction to Fourier Analysis
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…
Specifikacia An Introduction to Fourier Analysis
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. 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. 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.
A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms.