Coursera – Games without Chance – Combinatorial Game Theory – Georgia Tech[32 Mp4, 32 srt, 32 txt]
English | Size: 538.61 MB
Category:Tutorial
This course explores the mathematical theory of two player games without chance moves. We will cover simplifying games, determining when games are equivalent to numbers, and impartial games. Many of the examples will be with simple games that may be new to you: Hackenbush, Nim, Push, Toads and Frogs, and others. While this probably won’t make you a better chess or go player, the course will give you a better insight into the structure of games.
Course Syllabus
Prerequisite Knowledge
This is a university level Mathematics course. While there are no specific Mathematics prerequisites, it is highly recommended that students have taken rigorous college level Mathematics courses (AP calculus counts as such).
Text and Resources
Although the class is designed to be self-contained, students wanting to expand their knowledge beyond what we can cover in a one-quarter class can find a much more extensive coverage of this topic in the 4 volume work “Winning Ways for your Mathematical Plays” by Elwyn R. Berlekamp, John H. Conway and Richard K. Guy.
Recommended Background
This is a university level Mathematics course. While there are no specific Mathematics prerequisites, it is highly recommended that students have taken rigorous college level Mathematics courses (AP calculus counts as such).
Suggested Readings
Eg. Although the class is designed to be self-contained, students wanting to expand their knowledge beyond what we can cover in a one-quarter class can find a much more extensive coverage of this topic in the 4 volume work “Winning Ways for your Mathematical Plays” by Elwyn R. Berlekamp, John H. Conway and Richard K. Guy.
Course Format
The class will consist of lecture videos, which are between 8 and 12 minutes in length. These contain 1-2 integrated quiz questions per video. There will also be standalone homeworks that are not part of video lectures.
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