Mathematics of Juggling, PDF, 411948 bytes
ABSTRACT: This paper lays down the foundations for the mathematics of juggling starting with the continuity axiom and defining multi-hand notation, which describes a large class of juggling patterns. Several theorems are stated and proven using these definitions and the axiom of continuity. One need not know how to juggle to appreciate these ideas. The mathematics is interesting by itself and can be appreciated by the non-juggler as well as the juggler.
This is pretty hefty reading, unless you're a serious math type.
Mathematics of Juggling, PDF, 411948 bytes