/pathway-to-math

A non-exhaustive collection of topics in university mathematics

Pathway to Mathematics

Analysis

  • Real analysis
  • Complex analysis
  • Functional analysis
  • Harmonic analysis
  • Differential equations
    • Ordinary differential equations
    • Partial differential equations
  • Fourier analysis
  • Measure theory
  • Numerical analysis

Algebra

  • Group theory
  • Ring theory
  • Module theory
  • Field theory
  • Galois theory

Geometry

  • Euclidean geometry foundations
    • Plane geometry
    • 3D geometry
    • n-dimensional geometry
  • Projective geometry
  • Affine geometry
  • Hyperbolic geometry
  • Elliptic geometry
  • Differential geometry
    • Manifolds
    • Riemannian geometry