The Mathematics of Juggling

Cover
Springer Science & Business Media, 31.10.2002 - 226 Seiten
Learn to juggle numbers! This book is the first comprehensive account of the mathematical techniques and results used in the modelling of juggling patterns. This includes all known and many new results about juggling sequences and matrices, the mathematical skeletons of juggling patterns. Many useful and entertaining tips and tricks spice up the mathematical menu presented in this book. There are detailed descriptions of jugglable and attractive juggling sequences, easy zero-gravity juggling, robot juggling, as well as fun juggling of words, anti-balls, and irrational numbers. The book also includes novel, or at least not very well known connections with topics such as bell ringing, knot theory, and the many body problem. In fact, the chapter on mathematical bell ringing has been expanded into the most comprehensive survey in the literature of the mathematics used by bell ringers. Accessible at all levels of mathematical sophistication, this is a book for mathematically wired jugglers, mathematical bell ringers, combinatorists, mathematics educators, and just about anybody interested in beautiful and unusual applications of mathematics.
 

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Inhalt

An Introduction
1
uggling
7
tge Theorem
14
utation Test
22
Juggling
65
tits of Multiplex Juggling Sequences
73
ing Matrices 85
88
Juggling
117
ematical Notation and Basic Operations
151
hical Representations of Extents
159
its from Groups
168
nuters Bobs and Singles
175
ing Braids
181
Juggling Words
191
ing and Math Stories
197
Urheberrecht

ing Made Easy
123

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