Table of contents
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Who is Fourier? A Mathematical Adventure

Table of Contents

 

Introduction to the English Language Edition

IX

   

Part 1

1

Chapter 1 - Fourier Series

3

Chapter 2 - Fourier Coefficients

69

Chapter 3 - Discrete Fourier Expansion

115

Chapter 4 - The Spectrum of the Voice

139

   

Part 2

165

Chapter 5 - Differentiation

167

Chapter 6 - Differentiation of sin

193

Chapter 7 - Integration

219

Chapter 8 - Projection and Orthogonality

259

   
Part 3
295
Chapter 9 - e and i

297

Chapter 10 - Euler's Formula

325

Chapter 11 - Complex Number Representation of Fourier Series and Fourier Coefficients
355
Chapter 12 - The Fourier Transform and the Uncertainty of Waves
371
Chapter 13 - The FFT Method
391
   
Appendix
411
Answer Page
423
Afterward
427