Game Theory and Recreational Mathematics : A Playful Approach to Problem Solving and Inquiry

This book 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.

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. FeaturesUndergraduate 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.