Fourier Series


This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version


Copyright 1994
Gary S. Stoudt
Mathematics Department
Indiana University of PA
Indiana, PA 15705
GSSTOUDT@grove.iup.edu

References for this notebook are "Introductory Functional Analysis with Applications" by Erwin Kreysig; "Introduction to Applied Mathematics" by Gilbert Strang; and "Mathematical Methods" by Merle Potter and Jack Goldberg.

It is assumed that the user has seen inner products, bases, and orthogonality.

Introduction

Vector Space C[-Pi, Pi]

Orthonormal Sets in C[-Pi,Pi]

Fourier Series

Even and Odd Functions and More

Fourier Series Examples

Half-Period Fourier Series

Periods Other than 2Pi

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