Advertisement

Mathematics and Music

A Diderot Mathematical Forum

  • Gerard Assayag
  • Hans Georg Feichtinger
  • Jose Francisco Rodrigues

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Manuel Pedro Ferreira
    Pages 1-25
  3. Wilfrid Hodges, Robin J. Wilson
    Pages 79-87
  4. Marie-José Durand-Richard
    Pages 113-137
  5. Shlomo Dubnov, Gérard Assayag
    Pages 147-159
  6. Guerino Mazzola
    Pages 199-213
  7. Jean-Claude Risset
    Pages 215-231
  8. Giovanni De Poli, Davide Rocchesso
    Pages 257-288

About this book

Introduction

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 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.

Keywords

Algebra Ethnomusicology Ethonomathematics History of Mathematics Mathematics Music calculus geometry music theory

Editors and affiliations

  • Gerard Assayag
    • 1
  • Hans Georg Feichtinger
    • 2
  • Jose Francisco Rodrigues
    • 3
  1. 1.UMR 9912IRCAM - CNRSParisFrance
  2. 2.Dept. of MathematicsUniversity of ViennaViennaAustria
  3. 3.CMAFUniversity of LisboaLisboaPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04927-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07836-1
  • Online ISBN 978-3-662-04927-3
  • Buy this book on publisher's site