He who untied the Gordian knot would rule all of Asia
So goes the legend of the tricky knot of Gordius, king of Phrygia.Many had tried; many had failed, but Alexander the Great simplycut the knot with his sword. He went on to conquer most of Asia,eventually reaching as far east as Northern India.
Cut the Knot is a book of probability riddles curated to challenge the mind andexpand mathematical and logical thinking skills. First housed on cut-the-knot.org,these puzzles and their solutions represent the efforts of great minds around theworld. Follow along as Alexander Bogomolny presents these selected riddles bytopical progression. Try them for yourself before reading their solutions. Just like itwas for Alexander the Great, the non-trivial, unexpected solution might be exactlythe one you need.
Author(s): Alexander Bogomolny
Publisher: Wolfram Media
Year: 2020
Language: English
Commentary: Publisher's PDF
Pages: 296
City: Champaign, IL
Tags: Mathematics; Probability Theory; Recreative Mathematics
Contents
Foreword by Nassim Nicholas Taleb
Preface
1 | Intuitive Probability
1 | Solutions
2 | What Is Probability?
3 | Likely Surprises
3 | Solutions
4 | Basic Probability
4 | Solutions
5 | Geometric Probability
5 | Solutions
6 | Combinatorics
6 | Solutions
7 | Conditional Probability
7 | Solutions
8 | Expectation
8 | Solutions
9 | Recurrences and Markov Chains
9 | Solutions
10 | Sampling of American Mathematics Competition Problems
10 | Solutions
11 | Elementary Statistics
11 | Solutions
Appendix A | Dependent and Independent Events
Appendix B | Principle of Symmetry
Bibliography
Index of Riddles