Fallen Pictures, Rising Sequences, and Other Mathematical Games: The Raven’s Hat

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Description

Games that show how mathematics can solve the apparently unsolvable.This book presents a series of engaging games that seem unsolvable–but can be solved when they are translated into mathematical terms. How can players find their ID cards when the cards are distributed randomly among twenty boxes? By applying the theory of permutations. How can a player guess the color of her own hat when she can only see other players’ hats? Hamming codes, which are used in communication technologies. Like magic, mathematics solves the apparently unsolvable. The games allow readers, including university students or anyone with high school-level math, to experience the joy of mathematical discovery.

Additional information

Weight 0.2951 kg
Dimensions 1.3462 × 13.6398 × 20.32 cm
by

, ,

Format

Paperback

Language

Pages

192

Publisher

Year Published

2021-2-2

Imprint

Publication City/Country

USA

ISBN 10

026204451X

About The Author

Jonas Peters is Professor of Statistics at the University of Copenhagen. Nicolai Meinshausen is Professor of Statistics at ETH (Swiss Federal Institute of Technology) in Zurich.

Other text

“A book of intriguing problems that are simple to state and yet seem impossible to solve. Each problem has been carefully chosen to illustrate an important mathematical concept. The lucid explanations provide aha moments that connect the problems to key ideas in a wide variety of undergraduate courses. A wonderful book for someone who likes mathematics and likes to be challenged!”—Chris Bernhardt, author of Quantum Computing for Everyone “This is a fantastic book! It’s full of clever and carefully constructed puzzles that will entertain any mathematically curious reader, from novice to expert.”—Richard J. Samworth, Professor of Statistical Science, University of Cambridge

Table Of Content

1. HAT COLORS AND HAMMING CODES 12. TWENTY BOXES AND PERMUTATIONS 173. THE DOVETAIL TRICK AND RISING SEQUENCES 334. ANIMAL STICKERS AND CYCLIC GROUPS 555. OPERA SINGERS AND INFORMATION THEORY 736. ANIMAL MATCHING AND PROJECTIVE GEOMETRY 93 67. THE EARTH AND AN EIGENVALUE 1098. THE FALLEN PICTURE AND ALGEBRAIC TOPOLOGY 123 A. WHAT DO WE MEAN WHEN WE WRITE …? 139B. WHAT IS … 143 C. CHAPTER-SPECIFIC DETAILS 157 REFERENCES 171INDEX 175

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