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2016-01-03 12:09:09 Post No. 7759706
Post No. 7759706
Sup /sci/ I've finished my first Analysis course and now I learned the following:
>Basic set theory
>Axioms of the real numbers
>Topology of the real numbers (closure of a set, accumulation points, etc.)
>Differentation and Riemann Integration
>Series and Power Series
>Sequences and Series of Functions
And all of this with rigorous proof writing.
I think I'm ready for new material. The Real Analysis course I'm taking next year involves Hilbert Spaces, [math]l^p[/math] spaces, measure theory and Lebesgue integration among other things. How do I prepare for this? Any books to go from here?