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Math Behind the Magic: Fascinating Card and Number Tricks and How They Work [Pehme köide]

  • Formaat: Paperback / softback, 208 pages, kõrgus x laius: 214x140 mm, kaal: 325 g
  • Ilmumisaeg: 30-Jul-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470448661
  • ISBN-13: 9781470448660
Teised raamatud teemal:
  • Formaat: Paperback / softback, 208 pages, kõrgus x laius: 214x140 mm, kaal: 325 g
  • Ilmumisaeg: 30-Jul-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470448661
  • ISBN-13: 9781470448660
Teised raamatud teemal:
A magician appears able to banish chaos at will: a deck of cards arranged in order is shuffled--apparently randomly--by a member of the audience. Then, hey presto! The deck is suddenly put back in its original order! Magic tricks like this are easy to perform and have an interesting mathematical foundation. In this rich, colorfully illustrated volume, Ehrhard Behrends presents around 30 card tricks and number games that are easy to learn, with no prior knowledge required. This is math as you've never experienced it before: entertaining and fun!
Preface ix
Acknowledgments ix
Introduction xi
Read Me! xv
The Cards xv
How Are Cards Represented? xvi
Shuffling 1 Cutting the Pack xvi
Shuffling 2 The Riffle Shuffle xvii
Some Technical Tips xix
Chapter 1 You Can Count on It
1(52)
§1.1 Thrice to Thine and Thrice to Mine
1(30)
§1.2 The Magic of Prime Numbers
31(22)
Chapter 2 Let's Mix It Up!
53(84)
§2.1 Invariants: Rock Solid
54(16)
§2.2 Detective Work: What Information Is Retained?
70(47)
§2.3 Symmetry
117(20)
Chapter 3 Optimally Packaged Information: Coding
137(40)
§3.1 Let's Begin
140(6)
§3.2 Well Placed
146(5)
§3.3 Impossible!
151(15)
§3.4 Information Postprocessing: Coding a la de Bruijn
166(11)
Chapter 4 Chance Makes Magic
177(20)
§4.1 What Is Probability?
178(5)
§4.2 We Are All Friends: The Kruskal Magic Trick
183(7)
§4.3 I Always Win!
190(7)
Appendix
197(8)
§A.1 The Magical Triangle
197(4)
§A.2 Intransitivity: Probabilities
201(4)
References 205
Ehrhard Behrends, Freie Universitat, Berlin, Germany.