The study of local change in patterns of spacetime events.
Local: near here and now, no global answers to all questions.
Change = calculus.
Spacetime: 4-vectors (add, multiply by a scalar) with the structure of a field (+, -, *, /).
Events: this happened here then.
Events are the fundamental currency of the Universe. Event can be huge like the big bang, or tiny, like an electron continuing to flutter around an atom.
Use physics to motivate math.
sweetser@alum.mit.edu copyright 2003, all rights reserved.