Titlebook: Mathematics and Music; A Diderot Mathematic Gerard Assayag,Hans Georg Feichtinger,Jose Francis Book 2002 Springer-Verlag Berlin Heidelberg

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書(shū)目名稱(chēng)Mathematics and Music影響因子(影響力)




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tattle

Book 2002the 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 bee

實(shí)施生效

Book 2002. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, 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.

先行

The Topos Geometry of Musical Logic,topos-theoretic geometrization of musical logic implies a progressively geometric flavour of all rational interactions with music, in particular when implemented on graphical interfaces of computer environments.

BRIBE

The Formalization of Logic and the Issue of Meaning,fferent matter from our present knowledge of logic. Then, I shall define the periods I have chosen to show how these questions were dealt with historically. I shall go on to analyse how the relationship of logical calculus to the question of its meaning was viewed during these different periods.

tangle

Universal Prediction Applied to Stylistic Music Generation,niversal prediction algorithm that can be applied to an arbitrary sequence regardless of its model. Operations such as improvisation or assistance to composition can be realised on the resulting representation.

運(yùn)動(dòng)性

ingrate

,Lagrange, “Working Mathematician” on Music Considered as a Source for Science,pose of such an account written in 1813, was less to explain the scientific achievements of a man, than to portray what a great scientist should be.. Delambre then goes as far as telling us a socially bad story about Lagrange. And it concerns Lagrange’s taste for music, or better said his misuse of music.

expansive

Musical Analysis Using Mathematical Proceedings in the XXth Century,ionship hidden in music or in sound. Their basic assumption was the direct link between the use of ratio 3/2 or a limited number of simple intervals in the ground bass and a possible rational explanation of music.

偽證

Expressing Coherence of Musical Perception in Formal Logic,uth within a framework of spatio-temporal representations and perception-based musical information processing. The framework provides a way for defining a semantics for the coherence of musical perception.