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Games without Chance: Combinatorial Game Theory
Explore mathematical theory of games without chance moves. Learn to analyze and solve combinatorial games.
Course Cost
₹ 2,699
Beginner
Skill Level
10 Hours
Self-paced lessons
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.
19,303 Enrolled
English
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
Understand basic concepts of infinite and loopy games
Gain insights into advanced topics like mean values and atomic weights
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
Payment options
Financial Aid
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Faculties
These are the expert instructors who will be teaching you throughout the course. With a wealth of knowledge and real-world experience, they're here to guide, inspire, and support you every step of the way. Get to know the people who will help you reach your learning goals and make the most of your journey.
4.3
23
Reviews
19,275
Students
1
Course
Frequently asked Questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.