Games without Chance: Combinatorial Game Theory
Explore mathematical theory of games without chance moves. Learn to analyze and solve combinatorial games.
Explore mathematical theory of games without chance moves. Learn to analyze and solve combinatorial games.
Dive into the fascinating world of combinatorial game theory with this course. You'll learn to analyze and solve games without chance moves, starting from the basics and progressing to advanced concepts. Explore topics such as game addition, comparison, simplification, and impartial games like Nim. Gain skills in mathematical analysis, strategic thinking, and problem-solving. By the end of the course, you'll be able to analyze complex games, determine winning strategies, and understand the underlying mathematical principles. Perfect for math enthusiasts, game theorists, and anyone interested in strategic analysis.
4.3
(208 ratings)
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What you'll learn
Understand the definition and properties of combinatorial games
Analyze and solve simple combinatorial games
Apply game addition and comparison techniques
Simplify games using dominating and reversible moves
Master the analysis of impartial games, including Nim
Develop strategic thinking and mathematical problem-solving skills
Skills you'll gain
This course includes:
2.3 Hours PreRecorded video
9 assignments
Access on Mobile, Tablet, Desktop
FullTime access
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There are 8 modules in this course
This course provides a comprehensive introduction to combinatorial game theory, focusing on games without chance moves. Students will learn the mathematical theory and analysis of simple games, progressing from basic concepts to more advanced topics. The course covers what defines a combinatorial game, playing multiple games simultaneously, game addition and comparison, simplifying games, and analyzing impartial games like Nim. Throughout the course, students will develop skills in mathematical analysis, strategic thinking, and problem-solving. By the end of the course, participants will be able to analyze complex games, determine winning strategies, and understand the underlying mathematical principles that govern these games. The course also touches on more advanced topics like infinite games, loopy games, and atomic weights, providing a foundation for further study in this field.
What is a Combinatorial Game?
Module 1 · 1 Hours to complete
Playing Multiple Games
Module 2 · 2 Hours to complete
Comparing Games
Module 3 · 1 Hours to complete
Numbers and Games
Module 4 · 2 Hours to complete
Simplifying Games
Module 5 · 1 Hours to complete
Impartial Games
Module 6 · 1 Hours to complete
What You Can Do From Here
Module 7 · 1 Hours to complete
Resources
Module 8 · 10 Minutes to complete
Fee Structure
Instructor
Professor of Mathematics and Passionate Musician and Cyclist
Tom Morley is a professor in the School of Mathematics, renowned for his extensive contributions to applied mathematics, electrical engineering, physics, operations research, and education, with over 60 published papers and two books to his name. When he’s not engaged in academic writing, you might find him cycling at high speeds. Additionally, Morley is an accomplished musician, proficient in piano, bass, guitar, mandolin, mandola, octave mandolin, and mandocello, and enjoys playing various games in his leisure time.
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4.3 course rating
208 ratings
Frequently asked questions
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