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The Enjoyment of Math

Otto Toeplitz, Hans Rademacher

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

The classic book that shares the enjoyment of mathematics with readers of all skill levels

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 eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler’s proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.

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Schlagwörter

Rational number, Transfinite number, Perfect number, Combination, Natural number, Reuleaux triangle, Rhomboid, Intersection (set theory), Logarithm, Bonse's inequality, Binomial theorem, Geometry, Long division, Prime number theorem, Sign (mathematics), Integer factorization, Coprime integers, Line segment, Euler's theorem, Scientific notation, Factorial, Fourth power, Pedal triangle, Power of 10, Rectangle, Metric space, Waring's problem, Non-Euclidean geometry, Rhombus, Arbitrarily large, Diameter, Irrational number, Circumference, Right angle, Equilateral triangle, Geometric mean, Regular polygon, Mathematical induction, Exterior (topology), Hypotenuse, Remainder, Factorization, Fractional part, Computation, Divisor, Regular polyhedron, Parallelogram, Euler's formula, Prime number, Straightedge, Number theory, Geometric series, Polyhedron, Big O notation, Complete theory, Fermat's Last Theorem, Pure mathematics, Special case, Coefficient, Fermat's theorem, Theorem, Pythagorean theorem, Parity (mathematics), Prime factor, Arithmetic, Variable (mathematics), Mathematics, Summation, Prime power, Right triangle