Description

Book Synopsis
Provides a lively development of the mathematics needed to answer the question, ‘How many times should a deck of cards be shuffled to mix it up?’ The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table.

Table of Contents
  • 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

The Mathematics of Shuffling Cards

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£66.50

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RRP £70.00 – you save £3.50 (5%)

Order before 4pm today for delivery by Mon 19 Jan 2026.

A Paperback by Persi Diaconis, Jason Fulman

Out of stock


    View other formats and editions of The Mathematics of Shuffling Cards by Persi Diaconis

    Publisher: MP-AMM American Mathematical
    Publication Date: 6/28/2023 12:00:00 AM
    ISBN13: 9781470463038, 978-1470463038
    ISBN10: 1470463032
    Also in:
    Combinatorics and graph theory Probability and statistics

    Description

    Book Synopsis
    Provides a lively development of the mathematics needed to answer the question, ‘How many times should a deck of cards be shuffled to mix it up?’ The shuffles studied are the usual ones that real people use: riffle, overhand, and smooshing cards around on the table.

    Table of Contents
    • 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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