Mathematical games can be used to define and explore curious new types of numbers; or, to look at it the other way around, one can invent numbers to define and study the nature of mathematical games. In this course we will present, study, and then play a variety of mathematical games; you will compete against your peers, and, at the end of the course, you will - as a team - compete against me. Let's see how much you learn! Prerequisites: students should be comfortable with proofs and mathematical logic, as well as working with sets (for example, union and intersection); students should also know the definition of the following number sets: natural numbers, integers, rational numbers, real numbers. On the first day of class we will define "equivalence relation" - if you want, you can look this up ahead of time.

Homeworks

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