國立虎尾科技大學 |

Cool Math for Hot Music = A First Introduction to Mathematics for Music Theorists /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Cool Math for Hot Music/ by Guerino Mazzola, Maria Mannone, Yan Pang.
Reminder of title:	A First Introduction to Mathematics for Music Theorists /
Author:	Mazzola, Guerino.
other author:	Mannone, Maria.
Description:	XV, 323 p. 179 illus., 112 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Application software. -
Online resource:	https://doi.org/10.1007/978-3-319-42937-3
ISBN:	9783319429373

Cool Math for Hot Music = A First Introduction to Mathematics for Music Theorists /
Mazzola, Guerino.

Cool Math for Hot MusicA First Introduction to Mathematics for Music Theorists /[electronic resource] :by Guerino Mazzola, Maria Mannone, Yan Pang. - 1st ed. 2016. - XV, 323 p. 179 illus., 112 illus. in color.online resource. - Computational Music Science,1868-0305. - Computational Music Science,.

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.

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.

ISBN: 9783319429373

Standard No.: 10.1007/978-3-319-42937-3doiSubjects--Topical Terms:

528147
Application software.

LC Class. No.: NX260

Dewey Class. No.: 004

Cool Math for Hot Music = A First Introduction to Mathematics for Music Theorists /
LDR:03090nam a22004095i 4500 001 978476
003 DE-He213
005 20200704025339.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319429373 $9 978-3-319-42937-3
024 7 $a 10.1007/978-3-319-42937-3 $2 doi
035 $a 978-3-319-42937-3
050 4 $a NX260
072 7 $a H $2 bicssc
072 7 $a COM018000 $2 bisacsh
072 7 $a UXA $2 thema
082 0 4 $a 004 $2 23
100 1 $a Mazzola, Guerino. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 670247
245 1 0 $a Cool Math for Hot Music $h [electronic resource] : $b A First Introduction to Mathematics for Music Theorists / $c by Guerino Mazzola, Maria Mannone, Yan Pang.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XV, 323 p. 179 illus., 112 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Computational Music Science, $x 1868-0305
505 0 $a 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.
520 $a 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.
650 0 $a Application software. $3 528147
650 0 $a Music. $3 649088
650 0 $a Mathematics. $3 527692
650 0 $a Computer science—Mathematics. $3 1253519
650 0 $a Artificial intelligence. $3 559380
650 1 4 $a Computer Appl. in Arts and Humanities. $3 669937
650 2 4 $a Mathematics in Music. $3 885668
650 2 4 $a Mathematics of Computing. $3 669457
650 2 4 $a Artificial Intelligence. $3 646849
700 1 $a Mannone, Maria. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1114509
700 1 $a Pang, Yan. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1114510
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319429359
776 0 8 $i Printed edition: $z 9783319429366
776 0 8 $i Printed edition: $z 9783319826981
830 0 $a Computational Music Science, $x 1868-0305 $3 1261929
856 4 0 $u https://doi.org/10.1007/978-3-319-42937-3
912 $a ZDB-2-SCS
912 $a ZDB-2-SXCS
950 $a Computer Science (SpringerNature-11645)
950 $a Computer Science (R0) (SpringerNature-43710)