Undergraduate , upper division
Differential and Algebraic topology
General Relativity
Geometric Mechanics
Riemannian Geometry
Arnold: the appendix on Riem. Geom
Milnor: Ch. 7: `A rapid course in ...'
Quantum Mechanics
left to right:
Dirac, Mackey, Weyl
Celestial Mechanics
Gauge Theory
ch. 1 of Chern: Vector Bundles with Connection
Lie Groups
