6 posts tagged with "Algebra"

Local vs Global seems to be one of the most important philosophies behind math. People in some fields call it "compactness", others don't. In short, it says that the property of an object is related to the property of every smaller subobject.

In this post, I list some results I know, basically for personal notes. But there are way more theories related or inspired by this idea.

This post briefly proves why the rational points of an elliptic curve is a group. The proof idea comes from MATH 214B, but I tried to use classical language.

This posts discusses the relation between two's complement and 2-adic integer in math. I want to show what operations we can have if we ignore overflow.

This post introduces some tricks on polynomials widely used in ICPC. I will try to practice algebraic knowledge as well.

Rephrase the chess picking problem in a more formal way.

Misc things that are taught in class but not written in the note of MATH 210.