組合賽局(combinatorial games)指的是無隱藏資訊且不涉及機率因素的雙人對弈遊戲,例如大家所熟知的圍棋、象棋和西洋棋。廣義而言,它還涵蓋單人挑戰的數獨(Sudoku),甚至無人參與的康威生命遊戲(Conway's Game of Life)。本課程將透過實際的賽局互動,逐步探索組合賽局背後的數學理論,例如超現實數(surreal numbers)等核心概念。Combinatorial games refer to double-player games that have no hidden information and do not involve chance factors, such as well-known chess, chess and chess. In general, it also covers the number of individual challenges (Sudoku) and even the Conway's Game of Life, which is not part of. This course will gradually explore the mathematical theory behind the combined game, such as core concepts such as surreal numbers, through actual game interactions.
Lessons in Play: An Introduction to Combinatorial Game Theory, 2nd edition, A K Peters Ltd. (2019), by Michael H. Albert, Richard J. Nowakowski, and David Wolfe
Lessons in Play: An Introduction to Combinatorial Game Theory, 2nd edition, A K Peters Ltd. (2019), by Michael H. Albert, Richard J. Nowakowski, and David Wolfe
評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
---|---|---|
iLearn習題iLearn習題 iLearn Question |
20 | |
第一次對局第一次對局 First match |
20 | |
第二次對局第二次對局 The second match |
20 | |
期中考期中考 Midterm exam |
20 | |
期末考期末考 Final exam |
20 | |
課堂參與課堂參與 Class Participation |
100 | 每出席一次加 1 分(不含競賽與考試) |