Introduction to Theoretical Math;

PITT Math 413, Summer 2008

Suggested topics for the Term Paper

  • Complex numbers and trigonometry
  • Euclid's fifth postulate
  • The Axiom of Choice
  • The Continuum Hypothesis
  • The notion of curvature for curves
  • The binomial theorem and generalizations
  • The algebra of quaternions
  • Construction of the real numbers by Dedekind cuts
  • Algebraic and transcendental numbers
  • Conic sections
  • Minimal surfaces and soap bubbles
  • Orientable and non-orientable surfaces
  • Elliptic curves
  • The Projective plane