1. Hippocrates' quadrature of the Lune (ca. 440 B.C.)

2. Euclid's proof of the Pythagorean Theorem (ca. 300 B.C.)

3. Euclid and the infinitude of primes (ca. 300 B.C.)

4. Archimedes' determination of circular area (ca. 225 B.C.)

5. Heron's formula for triangular area (ca. A.D. 75)

6. Cardano and the solution of the cubic (1545)

7. A gem from Isaac Newton (late 1660s)

8. The Bernoullis and the Harmonic series (1689)

9. The extraordinary sums of Leonhard Euler (1734)

10. A sampler of Euler's number theory (1736)

11. The non-denumerability of the continuum (1874)

12. Cantor and the transfinite realm (1891)

Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creators - from Archimedes, the absent-minded theoretician whose absorption in his work often precluded eating or bathing to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high-school mathematics. A rare combination of the historical, biographical, and mathematical, Journey through Genius is a fascinating introduction to a neglected field of human creativity.