TY - BOOK AU - RADEMACHER, Hans AU - TOEPLITZ, Otto TI - Enjoyment of mathematics : Selections from mathematics for the amateur / T2 - Princeton Legacy Library, SN - 9781400876082 PY - 2016/// CY - New Jersey : PB - Princeton University Press, KW - UDJG KW - DE-Matematică N1 - Frontmatter; Preface; Contents; 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 UR - https://www-degruyter-com.am.e-nformation.ro/princetonup/view/title/524355?rskey=f2Sbel&tab_body=overview ER -