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.

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