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