Single digits : in praise of small numbers
- New Jersey: Princeton University Press, 2017
- xii, 226 p. ill. 24 cm.
Looks at the history of each digit from one through nine, detailing their applications and connections to various areas of mathematics. The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really "six degrees of separation" between all pairs of people? And how can any map need only four colors to ensure that no regions of the same color touch? In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos.
9780691175690
Combinatorial analysis Mathematical analysis Factoring Knots Gilbreath's Conjecture Benford's Law