User:Rschwieb/Read These

Misc

 * ACT-R
 * Clifford intro
 * E-M not oriented
 * Spinors
 * Theorems for physics: Theorema Egregium, Nash embedding theorem, Gauss–Bonnet theorem
 * Varimax rotation

Algebra, calculus, topology and geometry on manifolds

 * Tensor algebra, exterior algebra, Clifford Algebra
 * Lie algebra
 * Tensor calculus, Pushforward_(differential), covariant derivative
 * Metric tensor, bilinear form, pseudo-Riemannian manifold, Riemannian geometry

Physics

 * General relativity, Mathematics_of_general_relativity, Introduction_to_mathematics_of_general_relativity
 * Classical electromagnetism and special relativity, Covariant formulation of classical electromagnetism
 * Einstein field equations, Maxwell's equations in curved spacetime
 * Spacetime topology, Spacetime algebra, Algebra of physical space
 * Introduction to quantum mechanics, Quantum mechanics, quantum field theory, Constructive quantum field theory, Spin (physics)
 * Absolute rotation

Algebra, algebraic topology and algebraic geometry

 * Algebraic geometry, Algebraic topology
 * Representation theory
 * Quivers
 * Schemes, Ringed spaces, Picard group
 * Homology, Cohomology
 * List of commutative algebra topics

More geometry

 * Geometric algebra, Comparison of vector algebra and geometric algebra, Quaternions and spatial rotation
 * Erlangen program, Geometric group theory

Nifty

 * Geometrization conjecture
 * Halbach array
 * Marden's theorem
 * Dunning–Kruger effect
 * Gimbal lock
 * Eilenberg–Mazur swindle
 * Evaluate this material on quaternion analysis