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Cool Math for Hot Music

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Cover of 'Cool Math for Hot Music'

Table of Contents

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    Book Overview
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    Chapter 1 The ‘Counterpoint’ of Mathematics and Music
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    Chapter 2 Short History of the Relation Between Mathematics and Music
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    Chapter 3 The Architecture of Sets
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    Chapter 4 Functions and Relations
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    Chapter 5 Universal Properties
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    Chapter 6 Natural Numbers
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    Chapter 7 Recursion
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    Chapter 8 Natural Arithmetic
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    Chapter 9 Euclid and Normal Forms
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    Chapter 10 Integers
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    Chapter 11 Rationals
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    Chapter 12 Real Numbers
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    Chapter 13 Roots, Logarithms, and Normal Forms
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    Chapter 14 Complex Numbers
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    Chapter 15 Directed and Undirected Graphs
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    Chapter 16 Nerves
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    Chapter 17 Monoids
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    Chapter 18 Groups
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    Chapter 19 Group Actions, Subgroups, Quotients, and Products
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    Chapter 20 Permutation Groups
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    Chapter 21 The Third Torus and Counterpoint
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    Chapter 22 Coltrane’s Giant Steps
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    Chapter 23 Modulation Theory
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    Chapter 24 Rings and Fields
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    Chapter 25 Primes
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    Chapter 26 Matrices
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    Chapter 27 Modules
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    Chapter 28 Just Tuning
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    Chapter 29 Categories
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    Chapter 30 Continuity
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    Chapter 31 Differentiability
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    Chapter 32 Performance
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    Chapter 33 Gestures
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    Chapter 34 Solutions of Exercises
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