TY - BOOK AU - Rademacher,Hans AU - Toeplitz,Otto TI - The Enjoyment of Math T2 - Princeton Science Library SN - 9780691241531 PY - 2023///] CY - Princeton, NJ PB - Princeton University Press, KW - MATHEMATICS / General KW - bisacsh KW - MATHEMATICS / History & Philosophy KW - Theorem KW - Natural number KW - Prime number KW - Summation KW - Divisor KW - Prime factor KW - Parity (mathematics) KW - Mathematics KW - Coprime integers KW - Rhomboid KW - Perfect number KW - Circumference KW - Remainder KW - Factorization KW - Fourth power KW - Rectangle KW - Pedal triangle KW - Polyhedron KW - Regular polyhedron KW - Diameter KW - Parallelogram KW - Equilateral triangle KW - Pythagorean theorem KW - Line segment KW - Right triangle KW - Sign (mathematics) KW - Geometry KW - Special case KW - Arbitrarily large KW - Fermat's Last Theorem KW - Rational number KW - Prime number theorem KW - Straightedge KW - Big O notation KW - Transfinite number KW - Irrational number KW - Right angle KW - Scientific notation KW - Hypotenuse KW - Bonse's inequality KW - Prime power KW - Non-Euclidean geometry KW - Metric space KW - Coefficient KW - Waring's problem KW - Integer factorization KW - Pure mathematics KW - Rhombus KW - Factorial KW - Euler's theorem KW - Intersection (set theory) KW - Combination KW - Complete theory KW - Reuleaux triangle KW - Geometric series KW - Fractional part KW - Binomial theorem KW - Number theory KW - Computation KW - Euler's formula KW - Variable (mathematics) KW - Power of 10 KW - Fermat's theorem KW - Exterior (topology) KW - Regular polygon KW - Logarithm KW - Long division KW - Mathematical induction KW - Arithmetic KW - Geometric mean N1 - Frontmatter --; CONTENTS --; Foreword; / 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; restricted access UR - https://www.degruyterbrill.com/isbn/9780691241531 UR - https://www.degruyterbrill.com/document/cover/isbn/9780691241531/original ER -