An episodic history of mathematics : mathematical culture through problem solving / Steven G. Krantz.

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Bibliographic Details
Published: [Washington, DC] : Mathematical Association of America, c2010.
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Series:MAA textbooks
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Format: Book
Table of Contents:
  • The ancient Greeks and the foundations of mathematics
  • Zeno's paradox and the concept of limit
  • The mystical mathematics of Hypatia
  • The Islamic world and the development of algebra
  • Cardano, Abel, Galois, and the solving of equations
  • René Descartes and the idea of coordinates
  • Pierre de Fermat and the invention of differential calculus
  • The great Isaac Newton
  • The complex numbers and the fundamental theorem of algebra
  • Carl Friedrich Gauss: the prince of mathematics
  • Sophie Germain and the attack on Fermat's last problem
  • Cauchy and the foundations of analysis
  • The prime numbers
  • Dirichlet and how to count
  • Bernhard Riemann and the geometry of surfaces
  • Georg Cantor and the orders of infinity
  • The number systems
  • Henri Poincaré, child phenomenon
  • Sonya Kovalevskaya and the mathematics of mechanics
  • Emmy Noether and algebra
  • Methods of proof
  • Alan Turing and cryptography.