October 28, 2010
Wordy Introduction, Motivation.
When you first start high school algebra, the big thing is FOIL-ing, right? Factoring and factorizing quadratics. When you get to calculus, the big things are derivatives and integrals. Then when you get to college and start doing math, things get a little tougher. We start learning about abstract structures, and these become increasingly specific and increasingly complex as we go along.
October 12, 2010
This post is going to be a gentle introduction to what a module is. It isn’t hard, but, for me, modules were sort of just “thrown in” with a whole bunch of defining properties and no motivation for why I should care about them. I’m hoping to motivate them at least a little bit so that you feel more comfortable thinking and working with them!