Farey Sequences: Duality and Maps Between Subsequences

As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail.

From the Content
Basic structural and enumerative properties of Farey sequences, Collective decision making, Committee methods in pattern recognition, Farey duality, Farey sequence, Fundamental Farey subsequences, Monotone bijections between Farey subsequences

• The first book devoted entirely to the Farey sequence, an attractive and popular construct in number theory


• A very detailed and readily accessible reference text on basic structural and enumerative properties of the Farey sequence