Enjoyment of mathematics [online] : Selections from mathematics for the amateur / Hans Rademacher, Otto Toeplitz

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

Achiziție prin proiectul Anelis Plus 2020.