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作者: 平正   数学家讲音乐 -- 免费名著下载 ^0^ 2011-05-15 22:09:35  [点击:3813]
Dave Benson 的“Music, a Mathematical Offering”从数学分析的角度探讨音乐,科学严谨而又饶有趣味。这书可以免费下载。

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书评摘录:

Dave Benson's excellent book requires a higher level of mathematical sophistication. Starting with waves and harmonics, he introduces the mathematics of vibrating strings and resonance, Fourier series and Bessel functions, and presents a mathematical analysis of the sounds of various musical instruments. He then turns to tunings and temperaments and gives a thorough treatment of musical scales ?from various 18th-century tunings to contemporary microtonal systems. This leads to a study of digital music and the synthesis of musical sounds. The book concludes with a wide-ranging study of symmetry in music. This is an impressive book that no-one seriously interested in the subject should be without.


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