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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

3 votes

Atiyah-Singer index theorem

I'm reading the original paper right now and finding it a little terse in some places, but a good guide. "Spin Geometry" by Michelson and Lawson has a chapter that covers in great detail all the analy …
Jonathan Campbell's user avatar