Farey Sequences : : Duality and Maps Between Subsequences / / Andrey O. Matveev.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017
• VerfasserIn: Matveev, Andrey O.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Physical Description: 1 online resource (XIV, 168 p.)
• Other title: Frontmatter --; Preface --; Contents --; List of Tables --; Farey sequences and collective decision making --; 1. Basic properties of Farey sequences --; 2. Farey duality --; 3. Monotone maps between Farey subsequences --; Bibliography --; List of notation --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110547665; 9783110719543; 9783110540550; 9783110625264; 9783110548204
• DOI: 10.1515/9783110547665
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Andrey O. Matveev.

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 ContentBasic 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