推荐一本书
Mathematics and Music, a Diderot Mathematical Forum
作者 G.Assaysg, H.G.Feichtinger, J.F.Rodrigues(Editors)
出版社：Springer
ISBN: 3-540-43727-4
讲了很多东西，比国内的那些音乐物理学的书好看多了。书本封底的介绍：
In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in compostition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.
很简单，不用我翻译吧，呵呵
看来还是得翻译出来，嘿嘿，献丑了。
在西方文明中，长久以来数学和音乐有着有趣的渊源。毕答歌拉斯是数学和音乐相互联系，已是史上一段佳话。其实还有很多数学家使数学与音乐共鸣，比如莱布尼兹。从作曲到发声（用传统的乐器，或电子乐），几乎各种与音乐相关的活动中都能看到数学的模型。近几十年来，现代音乐理论和数学理论结合得越来越多。此书展示了当今在数学与音乐相结合的领域中的一些工作。此书中各类文章，覆盖了历史的概况，逻辑和数学思想对作曲，音乐欣赏的影响，以及对乐声加工中的相关计算（这个专有词对应的中文我不知道）。著者展现了数学和音乐深远的互相影响。
[此贴子已经被作者于2005-3-18 23:01:19编辑过]
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发表于 2005-3-13 03:25:00
