Stuffs

Undergraduate Materials:

  1. 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.
  2. A proof of Schröeder Bernstein Theorem pdf file
  3. Schwarz's theorem in Calculus, which states something about a sufficient condition that the partial derivatives would commute. pdf file
  4. 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
  5. An elementary, but self contained, introduction to Characteristic classes of vector bundles on topological spaces. pdf file
Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License