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
Resource Information
The item Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 xv, 323 pages
 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
 Isbn
 9783319429359
 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
 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
 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
 Bibliography note
 Includes bibliographical references (297301) 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
 Bibliography note
 Includes bibliographical references (297301) 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
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