" genuinely insightful accurate rapid and fluent " (London Mathematical Society, January 2007)

HAL HELLMAN is the author of Great Feuds in Science, Great Feuds in Medicine, and Great Feuds in Technology, all from Wiley. He has published articles in the New York Times, Omni, Reader s Digest, Psychology Today, and Geo.

Acknowledgments. Introduction. 1. Tartaglia versus Cardano Solving Cubic Equations. 2. Descartes versus Fermat Analytic Geometry and Optics. 3. Newton versus Leibniz Credit for the Calculus. 4. Bernoulli versus Bernoulli Sibling Rivalry of the Highest Order. 5. Sylvester versus Huxley Mathematics: Ivory Tower or Real World? 6. Kronecker versus Cantor Mathematical Humbug. 7. Borel versus Zermelo The Notorious Axiom . 8. Poincare versus Russell The Logical Foundations of Mathematics. 9. Hilbert versus Brouwer Formalism versus Intuitionism. 10. Absolutists/Platonists versus Fallibilists/Constructivists Are Mathematical Advances Discoveries or Inventions? Epilogue. Notes. Bibliography. Index.