• Produktbild: Cool Math for Hot Music
  • Produktbild: Cool Math for Hot Music

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

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.11.2016

Abbildungen

XV, 179 illus., 112 illus. in color., schwarz-weiss Illustrationen, farbige Illustrationen

Verlag

Springer

Seitenzahl

323

Maße (L/B/H)

24.1/16/2.5 cm

Gewicht

6387 g

Auflage

1st ed. 2016

Sprache

Englisch

ISBN

978-3-319-42935-9

Beschreibung

Rezension

“The authors try to develop a discourse full of pleasure and fun that in every moment motivates concepts, methods, and results by their musical significance-a narrative that inspires the reader to create musical thoughts and actions. … The book contains many interesting musical and mathematical examples and exercises, and the last part of the book is devoted to the solutions of exercises. The book has also an interesting list of references for further studies in this field.” (Peyman Nasehpour, Mathematical Reviews, September, 2017)

“This textbook in mathematics for music theorists introduces topics such as sets and functions, algebraic structures including groups, rings, matrices and modules, and more. The book includes many illustrations, online sample music files, and exercises with solutions. … Concepts are motivated and supported by examples from composition music theory.” (Tom Schulte, MAA Reviews, maa.org, February, 2017)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

08.11.2016

Abbildungen

XV, 179 illus., 112 illus. in color., schwarz-weiss Illustrationen, farbige Illustrationen

Verlag

Springer

Seitenzahl

323

Maße (L/B/H)

24.1/16/2.5 cm

Gewicht

6387 g

Auflage

1st ed. 2016

Sprache

Englisch

ISBN

978-3-319-42935-9

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Cool Math for Hot Music
  • Produktbild: Cool Math for Hot Music
  • 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.