Course Links

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General Links

• Math Archive Links for Fourier Analysis and Wavelets

• Signal Analysis Page - R. Herman

• Three Introductory Lectures on Fourier Analysis and Wavelets - PDF

• Fourier Transforms and Waves - PDF

• Handbook of Mathematical Functions - Abramowitz and Stegun

Select Videos

• See Fourier Series on YouTube and Gibbs Phenomena
  or Videos on Fourier Analysis - Donny Lee

• Dr. Tisdell - Intro to Fourier Series and more including
  Separation of Variables for PDEs

• MATLAB for Beginners Part 1 - and see others

• Maple: State-of-the-Art Visualization Capabilities

• Walter Lewin - Derivation of Wave Equation

• Fourier Transform Film, I will derive, Tom Lehrer New Math - songs in YouTube about math

• A Crash Course in Contour Integration

• Mobius Transformations Revealed

• The Fourier Transforms and its Applications

Infinite Series

• SOSMath - Sequences, Series, Geometric Series, Power Series, 

• MathWorld -  Maclaurin Series, Taylor Series, Taylor's Theorem, Power Series, Series Expansions, Convergence Tests, Infinite Series

• An Infinite Series of Surprises

• Convergence Tests - Harvey Mudd College Tutorials

• Selected Problems from the History of the Infinite Series

Fourier Series

• SOS Math - Fourier Series

• Listen to Fourier Series

• Fourier Series and Convergence

• Fourier Series and Waves

• Videos on Fourier Series - Donny Lee, and more!

Orthogonal Functions

• Orthogonal Functions

• Special Functions

Complex Variables

• Complex Analysis - George Cain

• Complex Analysis Notes - Harold V. McIntosh

• Classics from Cornell Historic Math Book Collection
  • Functions of a Complex Variable by E.J. Townsend
  • Functions of a Complex Variable by T.S. Fiske

• Plotting Functions of a Complex Variable

• Visual Complex Analysis, The Book

• SOSMath - Complex Numbers

Complex Integration

Fourier Transforms

• Fourier Analysis Summary

Signal Analysis

• Signal Windowing to Reduce DFT Leakage

• DSP Tutorial

• Johns Hopkins Applets

• Combination of Signals Applet

Discrete Transforms

• Windowing and FFT's

• DFT

• FFT

• DSP Applets

Wavelets

• The Wavelet Tutorial

• An Introduction to Wavelets, by Amara Graps

• Wavelet Tutorials - Grand Valley State University List

• Discovering Wavelets - Student Projects including Voice Recognition with FT discussion

• A Wavelet Tour of Signal Processing

• Continuous Wavelet Analysis of Experimental Data

• Wavelets - The Idiots Guide

Course Applications

• Speech Analysis - set of lectures

• Applications in PDEs

• 2D Frequency Domain Filtering 

• Examples of Audio Spectrum Analysis

• Spectral Analysis of an ECG

• The FBI Fingerprint Image Compression Standard

• Spectrogram Reading

• Dynamic Spectrograms of Music

• Acoustic Monitoring

• Speech Analysis Tutorial

• Soundscapes from ``The vOICe'': Seeing with your Ears!

• Specta of Elements - A Clickable Periodic Table

• The Spectro Bookmarks

• Electromagnetic Radiation (Light)

• Subdivision.org ... apps in geometric design

• Optics and Holography Notes

Software

• Goldwave Digital Audio Editor

• CoolEdit 

• Other Editors