Course

Geometrical Methods in Physics

Class

Graduate

Prerequisites

None

TextBook

B.Schutz, "Geometrical Methods of Mathematical Physics"

Cambridge University Press (1980)

Topics

  • Differentiable Manifolds & Tensors
  • Lie Derivatives & Lie Groups
  • Differential Forms
  • Applications in Physics
    1. Thermodynamics
    2. Hamiltonian Maecanics
    3. Electromagnetism
    4. Fluid Dynamics
    5. Cosmology
  • Riemannian Manifolds & Gauge Theories

  • ...

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