关于此课程： This course will cover the mathematical theory and analysis of simple games without chance moves.
授课大纲
第 1 周
Week 1: What is a Combinatorial Game?
Hello and welcome to Games Without Chance: Combinatorial Game Theory! The topic for this first week is Let's play a game: Students will learn what a combinatorial game is, and play simple games.
4 视频, 10 阅读材料
- Leitura: Start Here
- Leitura: Consent Form
- Leitura: Syllabus
- Leitura: Course Logistics
- Leitura: About The Instructor
- Leitura: Get More From Georgia Tech
- Leitura: Start Here (Week 1)
- Leitura: Game Rules
- 视频: Introduction to Two Players Left and Right
- 视频: What is a Combinatorial Game?
- 视频: Example Problem
- 视频: Example Problem Solution
- Leitura: Week 1 Lecture Slides
- Leitura: Extra Problems
第 2 周
Week 2: Playing Multiple Games
The topics for this second week is Playing several games at once, adding games, the negative of a game. Student will be able to add simple games and analyze them.
5 视频, 5 阅读材料, 1 练习测试
- Leitura: Start Here (Week 2)
- Leitura: Game Rules
- 视频: Cutcake and Adding Games
- 视频: The 0 Game
- 视频: Adding Games
- Leitura: Week 2 Lecture Slides
- 视频: Quiz Problems
- 视频: Week 2 Quiz Review
- Leitura: Earn a Georgia Tech Badge/Certificate/CEUs
- Leitura: Extra Problems
- Teste para praticar: Mid-Course Survey 1
已评分: Quiz Week 2
第 3 周
Week 3: Comparing Games
The topics for this third week is Comparing games. Students will determine the outcome of simple sums of games using inequalities.
6 视频, 5 阅读材料
- Leitura: Start Here (Week 3)
- Leitura: Game Rules
- 视频: Ordering Games
- 视频: Example and a Problem
- 视频: Problem Solution
- 视频: Ski Jumps
- 视频: Games That Are Not Numbers
- Leitura: Week 3 Lecture Slides
- 视频: Proof and Quiz
- Leitura: Week 3 Quiz Solutions
- Leitura: Extra Problems
已评分: Quiz Week 3
第 4 周
Week 4: Numbers and Games
The topics for this fourth week is Simplicity and numbers. How to play win numbers. Students will be able to determine which games are numbers and if so what numbers they are.
5 视频, 5 阅读材料, 1 练习测试
- Leitura: Start Here (Week 4)
- Leitura: Game Rules
- 视频: Some Numbers Are Games
- 视频: Some Games Are Numbers
- 视频: Simplicity
- 视频: More Numbers
- Leitura: Week 4 Lecture Slides
- 视频: Quiz Preview
- Leitura: Week 4 Quiz Solutions
- Leitura: Extra Problems
- Teste para praticar: Mid-Course Survey 2
已评分: Quiz 4
第 5 周
Week 5: Simplifying Games
The topics for this fifth week is Simplifying games: Dominating moves, reversible moves. Students will be able to simplify simple games.
4 视频, 5 阅读材料
- Leitura: Start Here (Week 5)
- Leitura: Game Rules
- 视频: New Ways of Simplifying Games
- 视频: Examples From Nim
- 视频: General Reversible
- 视频: Toads and Frogs
- Leitura: Week 5 Lecture Slides
- Leitura: Week 5 Quiz Solutions
- Leitura: Extra Problems
已评分: Quiz 5
第 6 周
Week 6: Impartial Games
The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.
4 视频, 5 阅读材料
- Leitura: Start Here (Week 6)
- Leitura: Game Rules
- 视频: Nim and How to Win
- 视频: Impartial Games, Reversible Moves
- 视频: Examples, Mex
- 视频: All Impartial Games Are Equivalent to Nim
- Leitura: Week 6 Lecture Slides
- Leitura: Week 6 Quiz Solutions
- Leitura: Extra Problems
已评分: Quiz 6
第 7 周
Week 7: What You Can Do From Here
The topic for this seventh and final week is Where to go from here.
4 视频, 4 阅读材料, 1 练习测试
- Leitura: Start Here (Week 7)
- Leitura: Game Rules
- 视频: Infinite Games
- 视频: Loopy Games
- 视频: Mean Values, Hot, Cold, Sente, Gote
- 视频: Atomic Weights
- Leitura: Week 7 Lecture Slides
- Leitura: Week 7 Quiz Solutions
- Teste para praticar: Final Week Survey
已评分: Bonus Quiz
Resources
1 阅读材料
- Leitura: Game Rules
常见问题解答
运作方式
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制作方
乔治亚理工学院
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评分和审阅
Nice course and nice lecturer, I have learnt a lot of new things of Combinatorial Game theory. Thank you.
Thank you
Fantastic
very interesting analysis of