Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists - Couverture rigide

Livre 8 sur 20: Computational Music Science

Mazzola, Guerino; Mannone, Maria; Pang, Yan

 
9783319429359: Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists
Couverture rigide
ISBN 10 : 3319429353 ISBN 13 : 9783319429359
Editeur : Springer International Publishing AG, 2016

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prof. Dr. Guerino Mazzola earned his Ph.D. in Mathematics from Zurich University. He wrote the groundbreaking book The Topos of Music in 2002, its formal language and models are used by leading researchers in Europe, India, Japan, and North America and have become a foundation of music software design. Prof. Mazzola has an appointment as professor in the School of Music at the College of Liberal Arts, University of Minnesota.

Maria Caterina Mannone is completing her Ph.D. in the School of Music of the University of Minnesota.

Yan Pang Clark is completing her Ph.D. in the School of Music of the University of Minnesota.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2016
Langue
anglais
ISBN 10 
3319429353
ISBN 13 
9783319429359
Reliure
Relié
Numéro d'édition
1
Nombre de pages
338
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319826981: Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists

Edition présentée

ISBN 10 :  3319826980 ISBN 13 :  9783319826981
Editeur : Springer, 2018
Couverture souple