| Who Is Fourier? - A Mathematical Adventure (1995) |
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| Table of Contents Introduction to the English-Language Edition Ch. 1 Fourier Series 3 Ch. 2 Fourier Coefficients 69 Ch. 3 Discrete Fourier Expansion 115 Ch. 4 The Spectrum of the Voice 139 Ch. 5 Differentiation 167 Ch. 6 Differentiation of sin [theta] 193 Ch. 7 Integration 219 Ch. 8 Projection and Orthogonality 259 Ch. 9 e and i 297 Ch. 10 Euler's Formula 325 Ch. 11 Complex Number Representation of Fourier Series and Fourier Coefficients 355 Ch. 12 The Fourier Transform and the Uncertainty of Waves 371 Ch. 13 The FFT Method 391 Appendix 411 Answer Page 423 Afterword 427 Many people give up on math in high school - they do not feel comfortable with it, or they do not see the need for it in everyday life. These "mathematically-challenged" people may have had little recourse available in the past. Now, however, there is LRF's Who is Fourier?, which takes readers gently by the hand and helps them with both simple and intimidating concepts alike. By using everyday examples it enables the reader to develop an understanding of the language of Fourier's wave analysis. For instance, Fourier Series is explained with a comparison to the contents of 'Veggie-veggie' juice! The student authors take the reader along on their adventure of discovery, creating an interactive work that gradually moves from the very basics ("What is a right triangle?") to the more complicated mathematics of trigonometry, exponentiation, differentiation, and integration. This is done in a way that is not only easy to understand, but actually fun! While it is user-friendly enough even for those who are "math phobic," Who is Fourier? has been enjoyed by many people in the math and science fields. The largest percentage of our readers are professors and engineers, with business people and students following closely. It is a must-have for anyone interested in mathematics, physics, engineering, or complex science. Over 60,000 copies have sold in Japan since the original publication! |
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