Pure Analysis
Description
This course covers the following topics:
- Measure and Integration
- Concrete examples (Riemann and Lebesgue)
- Abstract theory -- convergence theorems
- Signed, product and Radon measures
- Fractal sets and Hausdorff dimension
- <math>L^p</math> spaces, Differentiation and Fourier Series
- Functional analysis
- Banach and Hilbert spaces
- Baire Category, Open Mapping and Uniform Boundedness Principle
- Weak and weak* topologies
- Compact operators
- Spectral theory (C* - algebras)
Teaching staff for 2011-2012
| Name | Department | University |
|---|---|---|
| Professor Jim R Wright | Mathematics | University of Edinburgh |
| Professor Robert Archbold | Mathematics | University of Aberdeen |
| Professor Tony Carbery | Mathematics | University of Edinburgh |
| Professor Kenneth Falconer | Mathematics and Statistics | University of St Andrews |
| Professor Lars Olsen | Mathematics and Statistics | University of St Andrews |
| Dr Stuart White | Mathematics and Statistics | University of Glasgow |