Linear Algebra

Intuitive

Linear algebra gives you mini-spreadsheets for your math equations.

We can take a table of data (a matrix) and create updated tables from the original. It’s the power of a spreadsheet written as an equation. An Intuitive Guide to Linear Algebra by Kalid Azad

Concrete

Good books are:

  • Linear Algebra Done Right by Sheldon Axler - despite the title a great book.
  • Linear Algebra Done Wrong by Treil - even better than Linear Algebra done Right.
  • Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by John H. Hubbard and Barbara Burke Hubbard - Extremely student friendly, lots of margin notes that talk about the "soft" stuff that's so crucial to the actual practice of math. Reading just the margins jumps your mathematical maturity by 2 years.

A nice video introduction is

Abstract

The motto in this section is: the higher the level of abstraction, the better.

Why is it interesting?