Project D - Planning
The wall I keep hitting when trying to learn physics is vector calculus. I missed out on this as an undergraduate, and I'm struggling with finding a textbook I like now. I think the best thing to do is to write my own treatment. So:
Before we start doing stuff in vector calculus, we should do:
- Analysis
- Linear algebra
- Topology
But analysis and linear algebra both use the concepts of fields, and so we should build up to that through rings and groups.
So I want to start by working through Aluffi's Algebra Chapter 0. I think I will probably end up using some form of type theory as my foundation, so that we can consider the objects of a category as a type without an equality relation, but for now I will work semi-formally and leave the foundation vague.
Comments
Post a Comment