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The Resource Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang

Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang

Label
Cool math for hot music : a first introduction to mathematics for music theorists
Title
Cool math for hot music
Title remainder
a first introduction to mathematics for music theorists
Statement of responsibility
Guerino Mazzola, Maria Mannone, Yan Pang
Creator
Contributor
Author
Subject
Language
eng
Summary
"This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions."--Back cover
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Mazzola, G.
Index
index present
LC call number
ML3800
LC item number
.M395 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Mannone, Maria
  • Pang, Yan
Series statement
Computational music science,
http://library.link/vocab/subjectName
  • Music
  • Music
Label
Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang
Instantiates
Publication
Bibliography note
Includes bibliographical references (297-301) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
The 'counterpoint' of mathematics and music -- Short history of the relationship between mathematics and music -- The architecture of sets -- Functions and relations -- Universal properties -- Natural numbers -- Recursion -- Natural arithmetic -- Euclid and normal forms -- Integers -- Rationals -- Real numbers -- Roots, logarithms, and normal forms -- Complex numbers -- Directed and undirected graphs -- Nerves -- Monoids -- Groups -- Group actions, subgroups, quotients, and products -- Permutation groups -- The third torus and counterpoint -- Coltrane's Giant Steps -- Modulation theory -- Rings and fields -- Primes-- Matrices -- Modules -- Just tuning -- Categories -- Continuity -- Differentiability -- Performance -- Gestures -- Solutions of exercises
Control code
952154191
Dimensions
25 cm
Extent
xv, 323 pages
Isbn
9783319429359
Media category
unmediated
Media MARC source
rdamedia
Other physical details
illustrations, music
System control number
(OCoLC)952154191
Label
Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang
Publication
Bibliography note
Includes bibliographical references (297-301) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
The 'counterpoint' of mathematics and music -- Short history of the relationship between mathematics and music -- The architecture of sets -- Functions and relations -- Universal properties -- Natural numbers -- Recursion -- Natural arithmetic -- Euclid and normal forms -- Integers -- Rationals -- Real numbers -- Roots, logarithms, and normal forms -- Complex numbers -- Directed and undirected graphs -- Nerves -- Monoids -- Groups -- Group actions, subgroups, quotients, and products -- Permutation groups -- The third torus and counterpoint -- Coltrane's Giant Steps -- Modulation theory -- Rings and fields -- Primes-- Matrices -- Modules -- Just tuning -- Categories -- Continuity -- Differentiability -- Performance -- Gestures -- Solutions of exercises
Control code
952154191
Dimensions
25 cm
Extent
xv, 323 pages
Isbn
9783319429359
Media category
unmediated
Media MARC source
rdamedia
Other physical details
illustrations, music
System control number
(OCoLC)952154191

Library Locations

    • Copley LibraryBorrow it
      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
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