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

4 votes

Text for an introductory Real Analysis course.

I'm using Analysis: With an Introduction to Proof by Steven Lay in my course right now, and from a student's perspective, it's been really good - clear explanations, and a tone of writing that doesn't …