The Mathematics of Shuffling Cards/ (Record no. 23076)
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000 -LEADER | |
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fixed length control field | 01675nam a22001577a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240314124136.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240314b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781470463038 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Diaconis, Persi |
245 ## - TITLE STATEMENT | |
Title | The Mathematics of Shuffling Cards/ |
Statement of responsibility, etc. | Persi Diaconis and Jason Fulman |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | United States of America: |
Name of publisher, distributor, etc. | American Mathematical Society, |
Date of publication, distribution, etc. | 2023. |
300 ## - Physical Description | |
Pages: | xii,346p. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Books |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Accession No. | Date last seen | Price effective from | Koha item type |
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Dewey Decimal Classification | Available | TIFR CAM Library | TIFR CAM Library | 12/03/2024 | M12260 | 14/03/2024 | 14/03/2024 | Books |