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Viser: The Price of Cake - And 99 Other Classic Mathematical Riddles
The Price of Cake
And 99 Other Classic Mathematical Riddles
Clément Deslandes og Guillaume Deslandes
(2023)
MIT Press
310,00 kr.
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Detaljer om varen
- Paperback: 232 sider
- Udgiver: MIT Press (Februar 2023)
- Forfattere: Clément Deslandes og Guillaume Deslandes
- ISBN: 9780262545242
Ingeniously designed mathematical riddles to delight armchair-and seasoned-mathematicians, in high school and beyond.
In The Price of Cake, brothers Clement and Guillaume Deslandes have assembled a uniquely rich and accessible collection of mathematical riddles, organized by difficulty and accompanied by unique hand-drawn illustrations. The challenges are exceptional in both their range and their precision. There are no "tricks" here-just good math to test your skills.
While any student will be thrilled to encounter fresh presentations of classic conundrums such as Simpson's paradox, Hilbert's infinite hotel, Monty Hall's paradox, and Seven Bridges of K nigsberg, seasoned solvers will also appreciate challenging original puzzles using the Axiom of Choice and Conway's Soldiers problem. The Deslandes' lucid and elegant solutions offer new insights, as they seamlessly connect the skills applied in each problem to broader theoretical revelations. Moreover, as Fields Medalist Cedric Villani writes in his preface, these riddles are much more than just exercises. They capture "a certain dose of decorum and mystery," and to decipher them will require both imagination and tenacity.
To aid you on this journey, the authors provide hints to each puzzle, detailed proofs and solutions, and a series of Math Refreshers to revisit important concepts that are used to arrive at those answers. Entertaining and rigorous in equal measure, The Price of Cake is bound to captivate mathematics enthusiasts and students of all levels.
In The Price of Cake, brothers Clement and Guillaume Deslandes have assembled a uniquely rich and accessible collection of mathematical riddles, organized by difficulty and accompanied by unique hand-drawn illustrations. The challenges are exceptional in both their range and their precision. There are no "tricks" here-just good math to test your skills.
While any student will be thrilled to encounter fresh presentations of classic conundrums such as Simpson's paradox, Hilbert's infinite hotel, Monty Hall's paradox, and Seven Bridges of K nigsberg, seasoned solvers will also appreciate challenging original puzzles using the Axiom of Choice and Conway's Soldiers problem. The Deslandes' lucid and elegant solutions offer new insights, as they seamlessly connect the skills applied in each problem to broader theoretical revelations. Moreover, as Fields Medalist Cedric Villani writes in his preface, these riddles are much more than just exercises. They capture "a certain dose of decorum and mystery," and to decipher them will require both imagination and tenacity.
To aid you on this journey, the authors provide hints to each puzzle, detailed proofs and solutions, and a series of Math Refreshers to revisit important concepts that are used to arrive at those answers. Entertaining and rigorous in equal measure, The Price of Cake is bound to captivate mathematics enthusiasts and students of all levels.
Foreword ix Preface xiii I Statements 1 Level 1 3 Level 2 19 Level 3 43 II Hints 69 III Solutions 83 IV Reminders 175 1 The Pigeonhole Principle 177 2 Binomial Coefficients 181 3 Equivalence Relations 185 4 Bijections 189 5 Induction 197 6 Congruence 201 7 Bases of Number Systems 205 8 Some Probabilities 207 Bibliography 211 Index 213
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