The Mathematics of Shuffling Cards/ (Record no. 23076)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01696nam a22001697a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240314b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470463038 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Dewey Decimal Classification number | 519.2 |
| Item number | DIA |
| 100 ## - MAIN ENTRY--AUTHOR 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. (IMPRINT) | |
| Place of publication | United States of America: |
| Name of publisher | American Mathematical Society, |
| Year of publication | 2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of 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) | |
| Koha item type | Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| TIFR CAM Library | TIFR CAM Library | 519.2 DIA | M12260 | Books |