Anil Pedgaonkars Mathematics computer notes
answers to queries on cardinality.
Riemann Lebesgue lemma for integrals and series
The notes in complex analysis contain a simplified proof of Dixon's version of Cauchy's theorem and deduces Cauchy's theorem fora simply connected region from it. No Algebraic topology is required neither it is used. It also contains a treatment of elementary functions based on constructive definition of the number PI.