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.

Topics:

  1. Geometry and topology of Rn
  2. Spaces of continuous functions
  3. Lebesgue integration in one-variable
  4. Lp spaces, Hilbert spaces, linear operators


Text: Davidson & Donsig: Real Analysis and Real Applications Prentice-Hall ISBN 0-13-041647-9