User:Rschwieb/Read These

Misc

• ACT-R
• Clifford intro [1]
• E-M not oriented [2]
• Spinors [3]
• 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