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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, (electronic resource)

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

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
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
Member of
Cataloging source
YDX
http://library.link/vocab/creatorName
Mazzola, G.
Dewey number
780/.0519
Index
index present
LC call number
  • ML3800
  • NX280
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Mannone, Maria
  • Pang, Yan
Series statement
Computational music science
http://library.link/vocab/subjectName
  • Music
  • Music
  • Computer science
  • Artificial intelligence
  • Application software
  • Mathematics
Label
Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Contents
Part I: Introduction and Short History -- The 'Counterpoint' of Mathematics and Music -- Short History of the Relationship Between Mathematics and Music -- Part II: Sets and Functions -- The Architecture of Sets -- Functions and Relations -- Universal Properties -- Part III: Numbers -- Natural Numbers -- Recursion -- Natural Arithmetic -- Euclid and Normal Forms -- Integers -- Rationals -- Real Numbers -- Roots, Logarithms, and Normal Forms -- Complex Numbers -- Part IV: Graphs and Nerves -- Directed and Undirected Graphs -- Nerves -- Part V: Monoids and Groups -- Monoids -- Groups -- Group Actions, Subgroups, Quotients, and Products -- Permutation Groups -- The Third Torus and Counterpoint -- Coltrane's Giant Steps -- Modulation Theory -- Part VI: Rings and Modules -- Rings and Fields -- Primes -- Matrices -- Modules -- Just Tuning -- Categories -- Part VII: Continuity and Calculus -- Continuity -- Differentiability -- Performance -- Gestures -- Part VIII: Solutions, References, Index -- Solutions of Exercises -- References -- Index
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319429373
Specific material designation
remote
System control number
  • SPR962016766
  • ocn962016766
Label
Cool math for hot music : a first introduction to mathematics for music theorists, Guerino Mazzola, Maria Mannone, Yan Pang, (electronic resource)
Publication
Bibliography note
Includes bibliographical references and index
Contents
Part I: Introduction and Short History -- The 'Counterpoint' of Mathematics and Music -- Short History of the Relationship Between Mathematics and Music -- Part II: Sets and Functions -- The Architecture of Sets -- Functions and Relations -- Universal Properties -- Part III: Numbers -- Natural Numbers -- Recursion -- Natural Arithmetic -- Euclid and Normal Forms -- Integers -- Rationals -- Real Numbers -- Roots, Logarithms, and Normal Forms -- Complex Numbers -- Part IV: Graphs and Nerves -- Directed and Undirected Graphs -- Nerves -- Part V: Monoids and Groups -- Monoids -- Groups -- Group Actions, Subgroups, Quotients, and Products -- Permutation Groups -- The Third Torus and Counterpoint -- Coltrane's Giant Steps -- Modulation Theory -- Part VI: Rings and Modules -- Rings and Fields -- Primes -- Matrices -- Modules -- Just Tuning -- Categories -- Part VII: Continuity and Calculus -- Continuity -- Differentiability -- Performance -- Gestures -- Part VIII: Solutions, References, Index -- Solutions of Exercises -- References -- Index
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319429373
Specific material designation
remote
System control number
  • SPR962016766
  • ocn962016766

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