Mathematical Notes

Here are my mathematical notes: short notes about well-known or research problems, notes from self-studying mathematical texts, and lecture notes from lectures. By "mathematics", of course theoretical computer science is included.

Lecture Notes

Topics in Mathematical Science VI (数理科学特論VI) (WIP)
Lecturer: Erik Darpö, Graduate School of Mathematics, Nagoya University, Fall 2019
A gentle introduction to module theory and homological algebra, accessible to anyone with a basic undergraduate background in abstract algebra.
[PDF] [LaTeX Source] (Latest build: November 1, 2019)

Short Notes

An alternative proof of convergence for \( e^x \)
Proving that the exponential function converges using only the very basic facts about infinite series.
[PDF]