Math
Set theory
Linear algebra
- Axler - Linear Algebra Done Right
Topological spaces
Calculus/ Real analysis
- Terrence Tao - Analysis I, II
Manifolds
Measure theory
Physics
Relativity
- Schutz - A First Course in General Relativity
- Callahan - The Geometry of Spacetime
- Frankel - The Geometry of Physics
Analytical mechanics
- Goldstein, Poole, Safko - Classical Mechanics
Quantum mechanics
- Schiff - Quantum Mechanics
- Sakurai - Modern Quantum Mechanics
- Schiff - Quantum Mechanics