References (mathphys)
From TorontoMathWiki
The following is a list of references for material that may or may not be covered in the Math/Physics Learning Seminar.
Contents |
Classical Mechanics and Field Theory
- Goldstein et al., Classical Mechanics
- Arnold, Mathematical Methods of Classical Mechanics
- Sobolev, Partial Differential Equations of Mathematical Physics
- Evans, Partial Differential Equations
- Griffiths, Introduction to Electrodynamics
- Jackson, Classical Electrodynamics
- Wald, General Relativity
- Misner, Thorne, and Wheeler, Gravitation
Quantum Mechanics and QFT
- Bransden and Joachain, Quantum Mechanics
- Griffiths, Introduction to Quantum Mechanics
- Weyl, The Theory of Groups and Quantum Mechanics
- Sakurai, Modern Quantum Mechanics
- Sakurai, Advanced Quantum Mechanics
- Peskin and Schroeder, Introduction to Quantum Field Theory
- Weinberg, The Quantum Theory of Fields
- Gufstavson and Sigal, Mathematical Concepts of Quantum Mechanics
- Deligne et al., Quantum Fields and Strings: A Course for Mathematicians
- Folland, Quantum Field Theory: A Tourist Guide for Mathematicians
Gauge theory
- Atiyah, Geometry of Yang-Mills Fields
- Atiyah and Bott, Yang Mills over Riemann Surfaces
- Faddeev and Slavnov, Gauge Fields
- Hitchin, Self-duality Equations on a Riemann Surface
- Atiyah and Hitchin, Geometry and Dynamics of Magnetic Monopoles
- Witten, Two-dimensional gauge theories revisited
- Freed and Uhlenbeck, Instantons and Four Manifolds
- Donaldson and Kronheimer, The Geometry of Four-Manifolds
Symplectic geometry and group actions
- Guillemin and Sternberg, Symplectic Techniques in Physis
- Cannas da Silva, Lectures on Symplectic Geometry
- Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry
- Atiyah and Bott, The moment map and equivariant cohomology
- Guillemin and Sternberg, Supersymmetry and Equivariant de Rham Theory
- Mumford, Fogarty, and Kirwan, Geometric Invariant Theory
