search-white-svg
Meine Position
i
Ein Tipp vom Eldar Team
Je mehr Sie bestellen, desto grösser Ihr Rabatt
Lieferbar
Looking at Numbers
Buch
Buch
Fachbuch
2013

Looking at Numbers

ISBN
EAN
978-3-0348-0553-7
9783034805537
Artikel-Nr.
6233G5K
Bestpreis-Garantie
Kostenloser Versand
Rabatt
-22.5
%
CHF 127.00
CHF
98.46
Anzahl
1
Maximale
Lieferzeit
33
Arbeitstage
Freitag
14.01.2022
speech-bubble-svg Beschreibung

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 passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply “looking at numbers.”

Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while “looking at numbers” can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.

feather-svg
Stichwörter
search-svg
nature
search-svg
platonic
search-svg
symmetry
Inhaltsverzeichnis
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.
feather-svg
Herausgeber/-innen
Autor/-in
Autorenporträt

Tom Johnson (1939) is considered a minimalist, since he works with simple forms, limited scales, and generally reduced materials, but he proceeds in a more logical way than most minimalists, often using formulas, permutations, predictable sequences and various mathematical models. He is particularly well known for his operas. The Four Note Opera (1972) has been presented in 11 different languages since its premier 40 years ago. Riemannoper has been staged more than 30 times in German-speaking countries since its premier in Bremen in 1988. Often played non-operatic works include Bedtime Stories, Rational Melodies, Music and Questions, Counting Duets, Tango, Narayana's Cows, and Failing: a very difficult piece for solo string bass. His longest work is the Bonhoeffer Oratorio for four soloists, two choruses and orchestra, presented in Maastricht (1996), Berlin (1998) and New York (2000). The book Conversations avec Tom Johnson, in collaboration with Bernard Girard, was published in 2011.

Franck Jedrzejewski is a researcher in mathematical physics at the
CEA Saclay and has also a PhD in philosophy and musicology. He
teaches at the INSTN as well as in the University of Paris Sud and
Versailles-Saint-Quentin.

Publikation
Schweiz
10.12.2013
speech-bubble-svg
Sprache
Englisch
book-svg Format
Softcover
120 Seiten
27 cm
(Höhe)
21 cm
(Breite)
3591 g
(Gewicht)
package-svg Versand
Kostenloser Versand: Schweiz & Liechtenstein
Für den Versand nach Deutschland oder Frankreich werden die Versandgebühren der Schweizerischen Post berechnet. Diese werden Ihnen im Warenkorb für Ihre gesamte Bestellung berechnet.
credit-card-svg Zahlungsarten
payment-einzahlungsschein payment-twint payment-mastercard payment-visa payment-american-express payment-paypal
Bestellen Sie einfach auf Rechnung oder bezahlen Sie bequem und gebührenfrei mit Twint, Kreditkarte oder PayPal.
subcategories-svg
Passende Themen
Zurück
Zum Start
S
SPIEGEL Bestseller
Hauptkategorie