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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    £63.00

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    RRP £70.00 – you save £7.00 (10%)

    Order before 4pm today for delivery by Thu 25 Jun 2026.

    A Paperback by Persi Diaconis, Jason Fulman

    4 in stock

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      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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