Preface

1. Probability and π
2. Odd and Even Numbers
3. Sylvester's Problem of collinear Triads
4. The Algebra of Statements
5. The Farey Series
6. A Property of aⁿ
7. Squaring the Square
8. Writing a Number as a Sum of Two Squares
9. The Isoperimetric Problem
10. Five Curiosities from Arithmetic
11. A Problem of Regiomontanus
12. Complementary Sequences
13. Pythagorean Arithmetic
14. Abundant Numbers
15. Mascheroni and Steiner
16. A Property of Some Repeating Decimals
17. The Theorem of Barbier
18. The Series of Reciprocals of Primes
19. Van Schooten's Problem

Solutions to Exercises

Bibliography

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