Who Is Fourier: A Mathematical Adventure
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In Who is Fourier? A Mathematical Adventure, the student authors take the reader along on their adventure of discovery of Fourier's wave analysis, creating a work that gradually moves from basics 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 is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.
Introduction to the English-Language EditionCh. 1Fourier Series3Ch. 2Fourier Coefficients69Ch. 3Discrete Fourier Expansion115Ch. 4The Spectrum of the Voice139Ch. 5Differentiation167Ch. 6Differentiation of sin [theta]193Ch. 7Integration219Ch. 8Projection and Orthogonality259Ch. 9e and i297Ch. 10Euler's Formula325Ch. 11Complex Number Representation of Fourier Series and Fourier Coefficients355Ch. 12The Fourier Transform and the Uncertainty of Waves371Ch. 13The FFT Method391Appendix411Answer Page423Afterword427
