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
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|
Chapter 5 - Differentiation
|
167
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|
Chapter 6 - Differentiation of sin
|
193
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|
Chapter 7 - Integration
|
219
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|
Chapter 8 - Projection and Orthogonality
|
259
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| |
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| 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
|