The Joy of SET :The Many Mathematical Dimensions of a Seemingly Simple Card Game

Publication subTitle :The Many Mathematical Dimensions of a Seemingly Simple Card Game

Author: McMahon Liz;Gordon Gary;Gordon Hannah  

Publisher: Princeton University Press‎

Publication year: 2016

E-ISBN: 9781400884483

P-ISBN(Paperback): 9780691166148

Subject: G898.2 mental game

Keyword: 集合论,组合数学(组合学),数学,智力游戏,体育,牌类

Language: ENG

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Description

Have you ever played the addictive card game SET? Have you ever wondered about the connections between games and mathematics? If the answer to either question is “yes,” then The Joy of SET is the book for you! The Joy of SET takes readers on a fascinating journey into this seemingly simple card game and reveals its surprisingly deep and diverse mathematical dimensions. Absolutely no mathematical background is necessary to enjoy this book—all you need is a sense of curiosity and adventure!

Originally invented in 1974 by Marsha Falco and officially released in 1991, SET has gained a widespread, loyal following. SET’s eighty-one cards consist of one, two, or three symbols of different shapes (diamond, oval, squiggle), shadings (solid, striped, open), and colors (green, purple, red). In order to win, players must identify “sets” of three cards for which each characteristic is the same—or different—on all the cards. SET’s strategic and unique design opens connections to a plethora of mathematical disciplines, including geometry, modular arithmetic, combinatorics, probability, linear algebra, and computer simulations. The Joy of SET looks at these areas as well as avenues for further mathematical exploration. As the authors show, the relationship between SET and mathematics runs in both directions—playing this game has generated new mathematics, and the math has led to new questions about th

Chapter

3 Probability!

4 SET and Modular Arithmetic

5 SET and Geometry

Interlude: How to Improve at SET

6 More Combinatorics

7 Probability and Statistics

8 Vectors and Linear Algebra

9 Affine Geometry Plus

10 Computing and Simulations

Conclusion

Solutions to Exercises

Bibliography

Index

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