Mathematics of Shuffling Cards

Shuffling cards: An introduction
Practice and history of shuffling cards
Convergence rates for riffle shuffles
Features
Eigenvectors and Hopf algebras
Shuffling and carries
Different models for riffle shuffling
Move to front shuffling and variations
Shuffling and geometry
Shuffling and algebraic topology
Type B shuffles and shelf shuffling machines
Descent algebras, $P$-partitions, and quasisymmetric functions
Overhand shuffling
``Smoosh'' shuffle
How to shuffle perfectly (randomly)
Applications to magic tricks, traffic merging, and statistics
Shuffling and multiple zeta values
Bibliography
Index

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• A matemática discreta
• Geometria algébrica
• Teoria combinatória e dos grafos
• Probabilidade e Estatística
• Álgebra