M365D REAL ANALYSIS II
Prerequisite and degree relevance: Mathematics 365C with a grade of at least C-.
Course description: Recommended for students planning to undertake graduate work in mathematics. A rigorous treatment of selected topics in real analysis, such as Lebesgue integration, or multivariate integration and differential forms.
- Geometry and topology of Rn
- Spaces of continuous functions
- Lebesgue integration in one-variable
- Lp spaces, Hilbert spaces, linear operators
Text: Davidson & Donsig: Real Analysis and Real Applications Prentice-Hall ISBN 0-13-041647-9