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Cool Math for Hot Music A First Introduction to Mathematics for Music Theorists /
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:...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Computational Music Science,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-42937-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220118132808.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 161026s2016 sz | 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 | |
| 050 | 4 | |a AZ195 | |
| 072 | 7 | |a UF |2 bicssc | |
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| 100 | 1 | |a Mazzola, Guerino. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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 1868-0313 | |
| 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 Digital humanities. | |
| 650 | 0 | |a Music. | |
| 650 | 0 | |a Music-Mathematics. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a Artificial intelligence. | |
| 650 | 1 | 4 | |a Digital Humanities. |
| 650 | 2 | 4 | |a Music. |
| 650 | 2 | 4 | |a Mathematics in Music. |
| 650 | 2 | 4 | |a Mathematics of Computing. |
| 650 | 2 | 4 | |a Artificial Intelligence. |
| 700 | 1 | |a Mannone, Maria. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Pang, Yan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 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 1868-0313 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-42937-3 |z Texto Completo |
| 912 | |a ZDB-2-SCS | ||
| 912 | |a ZDB-2-SXCS | ||
| 950 | |a Computer Science (SpringerNature-11645) | ||
| 950 | |a Computer Science (R0) (SpringerNature-43710) | ||