The Mathematics of Shuffling Cards

Language: English

Published by American Mathematical Society, US, 2023

1470463032 / 9781470463038

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This book gives 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.The mathematics ranges from probability (Markov chains) to combinatorics (symmetric function theory) to algebra (Hopf algebras). There are applications to magic tricks and gambling along with a careful comparison of the mathematics to the results of real people shuffling real cards. The book explores links between shuffling and higher mathematics--Lie theory, algebraic topology, the geometry of hyperplane arrangements, stochastic calculus, number theory, and more. It offers a useful springboard for seeing how probability theory is applied and leads to many corners of advanced mathematics.The book can serve as a text for an upper division course in mathematics, statistics, or computer science departments and will be appreciated by graduate students and researchers in mathematics, statistics, and computer science, as well as magicians and people with a strong background in mathematics who are interested in games that use playing cards.

Seller Inventory # LU-9781470463038

Title
The Mathematics of Shuffling Cards
Author
Persi Diaconis, Jason Fulman
Publisher
American Mathematical Society, US
Publication year
2023
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470463032
ISBN 13
9781470463038
Item weight
226 grams

Rarewaves.com USA

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