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The mathematics of shuffling cards
(eBook)
Author
Contributors
Fulman, Jason, 1971- author.
Published
Providence, Rhode Island : American Mathematical Society, 2023.
Format
eBook
ISBN
9781470472900, 1470472902
Physical Desc
1 online resource (xii, 346 pages) : illustrations
Status
Staff View
Grouped Work ID
e64cc3aa-5c6c-595d-2c63-01ab5bfa3961-eng
Grouping Information
| Grouped Work ID | e64cc3aa-5c6c-595d-2c63-01ab5bfa3961-eng |
|---|---|
| Full title | mathematics of shuffling cards |
| Author | diaconis persi |
| Grouping Category | book |
| Last Update | 2024-08-09 07:56:49AM |
| Last Indexed | 2024-10-05 06:52:24AM |
Book Cover Information
| Image Source | default |
|---|---|
| First Loaded | Sep 16, 2024 |
| Last Used | Dec 3, 2024 |
Marc Record
| First Detected | Jun 21, 2024 11:55:59 AM |
|---|---|
| Last File Modification Time | Aug 09, 2024 08:28:37 AM |
MARC Record
| LEADER | 03625cam a2200637Mi 4500 | ||
|---|---|---|---|
| 001 | on1376916029 | ||
| 003 | OCoLC | ||
| 005 | 20231130213023.0 | ||
| 006 | m d | ||
| 007 | cr |n||||||||| | ||
| 008 | 230423s2023 riua ob 001 0 eng d | ||
| 019 | |a 1376935051 | ||
| 020 | |a 9781470472900|q (electronic bk.) | ||
| 020 | |a 1470472902|q (electronic bk.) | ||
| 020 | |z 1470463032 | ||
| 020 | |z 9781470463038 | ||
| 035 | |a 3595341|b (N$T) | ||
| 035 | |a (OCoLC)1376916029|z (OCoLC)1376935051 | ||
| 040 | |a YDX|b eng|c YDX|d N$T|d EBLCP|d OCLCQ|d OCLCF|d OCLCO|d OCLCQ|d UKAHL|d ONB | ||
| 049 | |a MAIN | ||
| 050 | 4 | |a GV1247|b .D53 2023 | |
| 082 | 0 | 4 | |a 795|2 23/eng/20230727 |
| 100 | 1 | |a Diaconis, Persi,|e author. | |
| 245 | 1 | 4 | |a The mathematics of shuffling cards /|c Persi Diaconis [and] Jason Fulman. |
| 264 | 1 | |a Providence, Rhode Island :|b American Mathematical Society,|c 2023. | |
| 300 | |a 1 online resource (xii, 346 pages) :|b illustrations | ||
| 336 | |a text|b txt|2 rdacontent | ||
| 337 | |a computer|b c|2 rdamedia | ||
| 338 | |a online resource|b cr|2 rdacarrier | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a "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" -- Provided by publisher. | ||
| 590 | |a WorldCat record variable field(s) change: 050 | ||
| 650 | 0 | |a Distribution (Probability theory) | |
| 650 | 0 | |a Card shuffling. | |
| 650 | 0 | |a Card games. | |
| 650 | 0 | |a Combinatorial analysis. | |
| 650 | 0 | |a Hopf algebras. | |
| 650 | 6 | |a Distribution (Théorie des probabilités) | |
| 650 | 6 | |a Cartes à jouer|x Mélange. | |
| 650 | 6 | |a Jeux de cartes. | |
| 650 | 6 | |a Analyse combinatoire. | |
| 650 | 6 | |a Algèbres de Hopf. | |
| 650 | 7 | |a distribution (statistics-related concept)|2 aat | |
| 650 | 7 | |a Card games|2 fast | |
| 650 | 7 | |a Card shuffling|2 fast | |
| 650 | 7 | |a Combinatorial analysis|2 fast | |
| 650 | 7 | |a Distribution (Probability theory)|2 fast | |
| 650 | 7 | |a Hopf algebras|2 fast | |
| 700 | 1 | |a Fulman, Jason,|d 1971-|e author. | |
| 776 | 0 | 8 | |i Print version:|z 1470463032|z 9781470463038|w (OCoLC)1372368663 |
| 856 | 4 | 0 | |3 EBSCOhost|u https://emil.mlc-wels.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3595341 |
| 938 | |a Askews and Holts Library Services|b ASKH|n AH41578286 | ||
| 938 | |a YBP Library Services|b YANK|n 304970143 | ||
| 938 | |a EBSCOhost|b EBSC|n 3595341 | ||
| 938 | |a ProQuest Ebook Central|b EBLB|n EBL30494973 | ||
| 994 | |a 92|b N$T | ||
Description
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More Details
Language
English
Notes
Bibliography
Includes bibliographical references and index.
Description
"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" -- Provided by publisher.
Local note
WorldCat record variable field(s) change: 050
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Citations
APA Citation, 7th Edition (style guide)
Diaconis, P., & Fulman, J. (2023). The mathematics of shuffling cards . American Mathematical Society.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Diaconis, Persi and Jason Fulman. 2023. The Mathematics of Shuffling Cards. American Mathematical Society.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Diaconis, Persi and Jason Fulman. The Mathematics of Shuffling Cards American Mathematical Society, 2023.
MLA Citation, 9th Edition (style guide)Diaconis, Persi,, and Jason Fulman. The Mathematics of Shuffling Cards American Mathematical Society, 2023.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
