Music and Mathematics
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Music and Mathematics: from Pythagoras to Fractals

Music and Mathematics: from Pythagoras to Fractals


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About the Book

From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.

Table of Contents:
Preface IntroductionSusan Wollenberg: Music and Mathematics: an overview Part I-: Music and Mathematics through history 1: Neil Bibby: Tuning and temperament: closing the spiral 2: J.V. Field: Musical cosmology: Kepler and his readers Part II-: The mathematics of musical sound 3: Charles Taylor: The science of musical sound 4: Ian Stewart: Faggot's fretful blunder 5: David Fowler: Helmholtz: combinational tones and consonance Part III-: Mathematical structure in music 6: Wilfrid Hodges: Musical frieze patterns 7: Dermot Roaf and Arthur White: Ringing the changes: bells and mathematics 8: Jonathan Cross: Composing with numbers: sets, rows and magic squares Part IV-: Recent Developments 9: Carlton Gamer & Robin Wilson: Microtones and projective planes 10: Robert Sherlaw Johnson: Composing with fractals Notes on contributors Notes, references, and further reading Index

Review :
`Review from previous edition This is a lucid and stimulating introduction to a many-sided topic, leavened with amusing anecdotes and occasional donnish humour. The writing throughout is wonderfully elegant and clear, so when the mathematical symbolism defeated me I could still follow the gist of the argument.' BBC Music Magazine `Throughout this well-produced book, the roughly equal measures of mathematical and musical examples never overwhelm the text, which covers the ground at a pace suited to the informed reader who wants to get straight to the concepts without narrative or theoretical clutter. Given the inherently complex nature of the subject matter this seems quite an achievement.' London Mathematical Society Newsletter July 2004 `An ear-opening book for students of mathematics, especially those who plan to teach, whose style will also suit music students keen to think in new ways. Recommended ' Choice `It is generally believed that there is a correlation between professional engagement in music and an amateur interest in mathematics, and vice versa. This book should appeal equally to both communities, and it will also appeal to those interested in the history of science. ' Times Higher Education Supplement 14/05/04 `The book presents a comprehensive look at the connections between music and mathematics ... This nicely written book would be appreciated by all who want to delve deeper into the connections between the two fields.' EMS Newsletter September 2005


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Product Details
  • ISBN-13: 9780199298938
  • Publisher: Oxford University Press
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: from Pythagoras to Fractals
  • Width: 189 mm
  • ISBN-10: 0199298939
  • Publisher Date: 06 Jul 2006
  • Height: 246 mm
  • No of Pages: 200
  • Spine Width: 12 mm
  • Weight: 404 gr


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Music and Mathematics: from Pythagoras to Fractals
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Music and Mathematics: from Pythagoras to Fractals
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