Problems for Journey Through Genius: The Great Theorems of Mathematics

Hippocrates' Quadrature of the Lune (ca. 440 B.C.). Euclid's Proof of the Pythagorean Theorem (ca. 300 B.C.). Euclid and the Infinitude of Primes (ca. 300 B.C.). Archimedes' Determination of Circular Area (ca. 225 B.C.). Heron's Formula for Triangular Area (ca. A.D. 75). Cardano and the Solution of the Cubic (1545). A Gem from Isaac Newton (Late 1660s). The Bernoullis and the Harmonic Series (1689). The Extraordinary Sums of Leonhard Euler (1734). A Sampler of Euler's Number Theory (1736). The Non-Denumerability of the Continuum (1874). Cantor and the Transfinite Realm (1891). Afterword. Chapter Notes. References. Index.