Excellent free eBook written by Dave Benson on the relationship between maths and music. Contains the following chapters; Waves & Harmonics, Fourier Theory, Mathematician’s Guide to the Orchestra, Consonance & Dissonance, Scales & Temperaments, Digital Music, Synthesis and Symmetry in Music. If you like/use the book you can support the author by purchasing either paperback or hardback editions.
A recent lecture was given by Benoit Mandelbrot explaining the similarity between stock markets and fractals.
“Markets, like oceans, have turbulence,” he said. “Some days the change in markets is very small, and some days it moves in a huge leap. Only fractals can explain this kind of random change.”
Together with Richard L. Hudson they have published a book titled “The (Mis) Behavior of Markets: A Fractal View of Risk, Ruin And Reward”, find it here. A video lecture from 2001 uses examples from finance, sciences, and engineering to examine roughness and fractal geometry.
