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Music and Mathematics
From Pythagoras to Fractals
John Fauvel, Raymond Flood, and Robin Wilson
200 pages
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Numerous halftones and line drawings
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246x189mm
978-0-19-929893-8
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Paperback
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06 July 2006
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- Comprehensive coverage of the fascinating relationship between mathematics and music
- Extensively illustrated
- Authored by leading scholars
- Suitable for a wide-ranging readership
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.
Readership: Suitable for students of both music and mathematics, as well as the general reader with an interest in music.
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John Fauvel, Formerly of the Open University, UK, Raymond Flood, Department for Continuing Education, Oxford University, and Robin Wilson, Keble College, Oxford University Contributors:
Susan Wollenberg (University of Oxford)
Neil Bibby (formerly of 'mathstudio', a consultancy for international mathematics education based in The Netherlands)
J.V. Field (Birkbeck College, University of London)
Charles Taylor (formerly of the Royal Institution)
Ian Stewart (University of Warwick)
David Fowler (University of Warwick)
Wilfrid Hodges (Queen Mary,
University of London)
Dermot Roaf (University of Oxford) and Arthur White (Western Michigan University)
Jonathan Cross (University of Oxford)
Carlton Gamer (The Colorado College, USA) and Robin Wilson (University of Oxford)
Robert Sherlaw Johnson (formerly of the University of Oxford)
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"An attractive volume that covers almost al of the important aspects of the interplay between mathematics and music." - Ehrhard Behrends, The Mathematical Intelligencer, Vol 28, 3
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Preface
Susan 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: The composer speaks
9: Carlton Gamer & Robin Wilson: Microtones and projective planes
10: Robert Sherlaw Johnson: Composing with fractals
Notes on contributors
Notes, references, and further reading
Acknowledgements
Index
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The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
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