## Instructor:

## Semester:

- 2016 Autumn/Monsoon (Aug - Dec)

**Course Outline**

**Math Structure Systems Science: Analysis**

The course assumes knowledge of elementary analysis (encourages self study) and focusses on somewhat advanced topics including

1) Measure and integration theory.

2) Classical Banach spaces including L^{p} spaces

3) Hilbert spaces

4) Contraction mapping and related topics

**Lectures: **Roughly 12 - 14 lectures each of hour and a half duration.

**Evaluation: **Two exams of 30 marks each. Regular homework 40 marks

**Grader: **Anand Deo

**References**

1. H. L. Royden, Real Analysis

2. A. M. Shiryaev, Probability

3. Kolmogorov and Fomin, Introductory Real Analysis