Ebook: Ingenuity in mathematics

1. Probability and p; 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 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. Macheroni and Steiner; 16. A property of some repeating decimals; 17. The theorem of Barbier; 18. The series of reciprocals of primes; 19. Van Schouten's problem; Solutions to exercises; Bibliography