We will cover Measure Theory, real analysis, matrix analysis and linear algebra with some care. Time permitting, other topics such as Fourier analysis and Complex analysis may be touched upon as well.

We recommend three textbooks:

1. Analysis (2nd edition)
Elliott H. Lieb and Michael Loss

2. Analysis I (3rd edition)
Terence Tao

3. Analysis II (3rd edition)
Terence Tao