Looking at Numbers

Galileo Galilei said he was "reading the book of nature" as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passin...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Johnson, Tom (Autor), Jedrzejewski, Franck (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
Edición:1st ed. 2014.
Temas:
Graph theory.
Mathematics.
Music-Mathematics.
Graph Theory.
Mathematics in Music.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • 1. Permutations
  • 1.1 Symmetric Group
  • 1.2 Bruhat Order
  • 1.3 Euler Characteristic
  • 1.4 Group Action
  • 1.5 Permutohedra and Cayley Graphs
  • 1.6 Coxeter Groups
  • 1.7 Homometric Sets
  • 2. Sums
  • 2.1 Integer Partitions
  • References
  • 3. Subsets
  • 3.1 Combinatorial Designs
  • 4 Kirkman's Ladies, a Combinatorial Design
  • 4.1 Steiner and Kirkman Systems
  • 5. Twelve
  • 5.1 (12,4,3)
  • 6. (9,4,3)
  • 6.1 Decomposition of Block Designs
  • 7. 55 Chords
  • 7.1 Chords and Designs.-8. Clarinet Trio
  • 8.1 Strange Fractal Sequences
  • 9. Loops
  • 9.1 Self-Replicating Melodies
  • 9.2 Rhythmic Canons.-10. Juggling
  • 10.1 Juggling, Groups, and Braids
  • 11. Unclassified
  • 11.1 Some Other Designs
  • A Figures
  • References.

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