The enjoyment of math /
"What is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two...
| Príomhchruthaitheoirí: | , |
|---|---|
| Rannpháirtithe: | , |
| Formáid: | Licensed eBooks |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Princeton ; Oxford :
Princeton University Press,
[2023]
|
| Eagrán: | New Princeton Science Library paperback edition. |
| Sraith: | Princeton science library.
|
| Rochtain ar líne: | https://www.jstor.org/stable/10.2307/j.ctv2svjz6s |
Clár na nÁbhar:
- Foreword / by Alex Kontorovich
- Preface
- Introduction
- 1. The sequence of prime numbers
- 2. Traversing nets of curves
- 3. Some maximum problems
- 4. Incommensurable segments and irrational numbers
- 5. A minimum property of the pedal triangle
- 6. A second proof of the same minimum property
- 7. The theory of sets
- 8. Some combinatorial problems
- 9. On Waring's problem
- 10. On closed self-intersecting curves
- 11. Is the factorization of a number into prime factors unique?
- 12. The four-color problem
- 13. The regular polyhedrons
- 14. Pythagorean numbers and Fermat's theorem
- 15. The theorem of the arithmetic and geometric means
- 16. The spanning circle of a finite set of points
- 17. Approximating irrational numbers by means of rational numbers
- 18. Producing rectilinear motion by means of linkages
- 19. Perfect numbers
- 20. Euler's proof of the infinitude of the prime numbers
- 21. Fundamental principles of maximum problems
- 22. The figure of greatest area with a given perimeter
- 23. Periodic decimal fractions
- 24. A characteristic property of the circle
- 25. Curves of constant breadth
- 26. The indispensability of the compass for the constructions of elementary geometry
- 27. A property of the number 30
- 28. An improved inequality
- Notes and remarks.