Mathematical Physics
Advanced mathematical methods and structures in physics
Mathematical Physics#
Mathematical physics explores the advanced mathematical structures and methods that underlie physical theories.
Topics#
- Differential Geometry
- Topology in Physics
- Lie Groups and Algebras
- Fiber Bundles
- Manifold Theory
- Category Theory
- Algebraic Topology
- Symplectic Geometry
- Complex Analysis
- Functional Analysis
- Group Theory
- Representation Theory
- Quantum Groups
- Homological Algebra
- Algebraic Geometry
- Operator Theory
- Noncommutative Geometry
- Index Theory
- K-Theory
- Morse Theory
Resources#
Books#
- Geometry, Topology, and Physics by Mikio Nakahara
- The Geometry of Physics by Theodore Frankel
- Mathematical Physics by Robert Geroch
- Methods of Mathematical Physics by Richard Courant and David Hilbert