Stuffs

## Undergraduate Materials:

- A note on Ordered Fields (some material borrowed from a lecture by K K Chatterjee of Budrwan University); it describes topology of Ordered Fields, and 10 equivalent characterizations of $\mathbb R$. See it here.
- A proof of SchrÃ¶eder Bernstein Theorem pdf file
- Schwarz's theorem in Calculus, which states something about a sufficient condition that the partial derivatives would commute. pdf file
- My notes on Peter-Weyl Theorem, which essentially says that if you have a compact group $G$, then the representative functions are dense in the space of continuous functions $C(G)$ in sup norm. dvi file
- An elementary, but self contained, introduction to Characteristic classes of vector bundles on topological spaces. pdf file

page revision: 8, last edited: 02 Sep 2010 10:30