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

7 votes

Text for an introductory Real Analysis course.

How about Anlaysis I and Analysis II by Terence Tao? Terence Tao is really an awesome mathematician. His explanations and proofs are very clear.
José Hdz. Stgo.'s user avatar