Tom Johnson, Franck Jedrzejewski

Looking at Numbers (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer Basel
• Erscheinungstermin: 27. November 2013
• Englisch
• ISBN-13: 9783034805544
• Artikelnr.: 43801153

Autorenporträt

Inhaltsangabe

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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.

Rezensionen

"T. Johnson and F. Jedrzejewski's book Looking at numbers presents a dual perspective (musical and mathematical) on making sense of a large set of drawings created by Johnson to illustrate self-discovered patterns in finite collections of numbers. ... Overall, for a non-expert in the overlap of music and mathematics, the book is interesting and fairly well written." (Guadalupe I. Lozano, Mathematical Reviews, June, 2015)