Fourier and Complex Analysis Notes
                           

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An Introduction to Fourier and Complex Analysis
with Applications to the Spectral Analysis of Signals
© 2005-2012
by Dr. R. L. Herman

These are notes for an introductory one semester course in Applied Mathematics covering Fourier and complex analysis. The first set of notes was drafted Spring 2005 and last edited in Spring 2010. The text will be edited further during Spring 2012. Any significant changes will be noted below by the date. Links to the current draft are below. 

The current version: FCA_Main.pdf - Apr 25, 2012 - 5.9 MB
The Spring 2010 version: FTCA-book.pdf - 5.6 MB

Table of Contents and Revisions (Spring 2012)

Chap Topic Pgs Last Revision Comments
  Title/Contents   Apr 6  

1

 Introduction 1-4 Jan 12  
2 Sequences and Series 5-40 Feb 2 minor changes
3 Fourier Series 41-70 Feb 9 minor changes
4 Generalized Fourier Series 71-116 March 23  
5 Complex Analysis 117-166 March 23  
6 Integral Transforms 167-217 Apr 6 Added examples/figs
7 Discrete Transforms

219-252

 Apr 25 Small modifications
8 Signal Analysis

253-277

 Apr 6 in progress
  Index

281-283

 Apr 6 in progress

 

 Creative Commons License
An Introduction to Fourier and Complex Analysis with Applications to the Spectral Analysis of Signals by Russell Herman is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.

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E-Mail: Dr. Russell Herman Last Updated: April 25, 2012