Mathematicians Playing Games

ISBN-13: 9781032213613 / Twarda / 2023 / 160 str.

Jon-Lark Kim

Opis

This book explores a wide variety of popular mathematical games, including their historical beginnings and the mathematical theories that underpin them. Its academic level is suitable for high school students and higher, but people of any age or level will find something to entertain them, and something new to learn. 

Spis treści

1.   15 Puzzle: A Tile Matching Game That Is Difficult Even for Computers.

2.   Peg Solitaire: Jumping Game Where We Meet Algebra.

3.   Chomp Game: Avoid a Poisoned Chocolate.

4.   Super Tic-Tac-Toe: Five Stone Game over a Donut.

5.   Mastermind: A Cryptographic Game.

6.   Ramsey Theorem and Sim Game: Don’t Draw a Red Triangle.

7.   Nine Men’s Morris: Three Soldiers' Side by Side.

8.   The Game of Quatrainment: Flip Neighbor Stones.

9.   n-Queens Game and Puzzle: Playing Chess Only with Queens.

10. Light Out: Turn Off Lights by Linear Equations.

11. 1258 Board Game: Magic Square and Orthogonal Latin Square.

12. Switching Game: Shannon’s Network Game.

13. Dots and Boxes: Occupy More Boxes.

14. Matricking: Factorization and Cube Net Game.

15. SET Game: Steiner Triple System Game.

16. Dobble Game: Finite Projective Plane Game.

17. Find-a-Best-Friend Game: A Game of the Perfect Hamming Code.

O autorze

Jon-Lark Kim was born in 1970 in South Korea. He received the B.S. degree in Mathematics from POSTECH, the M.S. degree in Mathematics from Seoul National University, South Korea, in 1997, and the Ph.D. degree from the Department of  Mathematics, University of Illinois at Chicago, in 2002. He was an Associate Professor at the University of Louisville until 2012. He is currently a Professor with the Department of Mathematics, Sogang University, and the Director of the Sogang Artificial Intelligence Laboratories, Seoul, South Korea. He is also CEO of DeepHelix, a start-up based on AI and healthcare.

He has authored more than 70 research papers on Coding Theory, Combinatorics, Cryptography, Games, and Machine Learning and a book titled as Selected Unsolved Problems in Coding Theory.  He is a Co-Editor of Concise Encyclopedia of Coding Theory published by Chapman and Hall/CRC in 2021. He was a recipient of the 2004 Kirkman Medal from the Institute of Combinatorics and its Applications.

He is a member of the Editorial Board of Designs, Codes and Cryptography and Journal of Applied Mathematics and Computing. His research interests include Coding Theory,  Cryptography, Informatics, Fuzzy Theory, and Artificial Intelligence, hoping to find a method to unify all of these + alpha in his lifetime just as Rene Descartes discovered a Cartesian coordinate system which unifies Algebra and Geometry and concluded a quotation "Cogito ergo sum" ("I think, therefore I am") which unifies the human mind and body. His hobbies include playing soccer, reading, and writing.