A hands-on introduction to mathematical games via the games Nim and Wythoff's Nim. We willl touch upon what it means to "add" two games and what a "number" is while we learn optimal strategies for simple to define yet not trivial to analyze games.

The theory of computation centers on simple to describe systems with complex behavior. In this course we will talk about a number of systems from Turing Machines to Cellular Automata \, how they work and why they can potentially compute anything that a regular computer can achieve. We will explore these systems using a variety of techniques including implementing in Python.