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Mathematics and Music : A Diderot Mathematical Forum

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Cover of 'Mathematics and Music : A Diderot Mathematical Forum'

Table of Contents

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    Book Overview
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    Chapter 1 Proportions in Ancient and Medieval Music
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    Chapter 2 The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler
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    Chapter 3 The Use of Mechanical Devices and Numerical Algorithms in the 18th Century for the Equal Temperament of the Musical Scale
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    Chapter 4 Lagrange, “Working Mathematician” on Music Considered as a Source for Science
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    Chapter 5 Musical Patterns
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    Chapter 6 Questions of Logic: Writing, Dialectics and Musical Strategies
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    Chapter 7 The Formalization of Logic and the Issue of Meaning
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    Chapter 8 Musical Analysis Using Mathematical Proceedings in the XXth Century
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    Chapter 9 Universal Prediction Applied to Stylistic Music Generation
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    Chapter 10 Ethnomusicology, Ethnomathematics. The Logic Underlying Orally Transmitted Artistic Practices
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    Chapter 11 Expressing Coherence of Musical Perception in Formal Logic
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    Chapter 12 The Topos Geometry of Musical Logic
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    Chapter 13 Computing Musical Sound
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    Chapter 14 The Mathematics of Tuning Musical Instruments — a Simple Toolkit for Experiments
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    Chapter 15 The Musical Communication Chain and its Modeling
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    Chapter 16 Computational Models for Musical Sound Sources
Attention for Chapter 4: Lagrange, “Working Mathematician” on Music Considered as a Source for Science
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Chapter title
Lagrange, “Working Mathematician” on Music Considered as a Source for Science
Chapter number 4
Book title
Mathematics and Music
Published by
Springer, Berlin, Heidelberg, January 2002
DOI 10.1007/978-3-662-04927-3_4
Book ISBNs
978-3-64-207836-1, 978-3-66-204927-3
Authors

Jean Dhombres

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