Game Theory and Recreational Mathematics

Game Theory and Recreational Mathematics views mathematics through a lens of puzzles and games, with a strong focus on creative problem solving. The book sets the scene for discrete mathematics by introducing mathematical logic and set theory, then it moves on to provide a playful introduction to group theory, combinatorics, graph theory, and combinatorial game theory.

A structured approach to problem solving and mathematical thinking is embedded throughout the book. Mathematical topics are introduced and explored through puzzles and games, providing inquiry-based, active learning opportunities. Recreational mathematics has a long and rich history and culture, explored in an introductory narrative and embedded throughout the book through choice of examples and historical expositions.

The book can be used as self-study material to gain an overview of some mathematics useful for analysing puzzles and games, or it provides teaching material for a playful introduction to mathematical topics highlighting a problem-solving approach. It would support a general university module on discrete mathematics, or the introductory content for a module on group theory, graph theory, or combinatorics.

Features

• Undergraduate level mathematical content is developed through a playful approach, encouraging motivation and inquiry.
• Prompts the development of skills needed by mathematicians in further study and post-graduation.
• Links to history highlight the culture and broader context of mathematics and mathematicians.
• Over 200 exercises with solutions to practice mathematical techniques in an engaging, playful context.
• Extended inquiries provide opportunities for students to take the lead in developing their mathematical skills.
• Topics that lend themselves well to larger projects are proposed as suitable degree capstone projects.