| Academic Year |
2024Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program |
| Lecture Code |
WSA70004 |
Subject Classification |
Specialized Education |
| Subject Name |
数学特別講義 （非不偏ゲーム） |
Subject Name
（Katakana） |
スウガクトクベツコウギ |
Subject Name in
English |
Special Lectures in Mathematics |
| Instructor |
To be announced.,KIMURA SHIYUNICHI |
Instructor
(Katakana) |
タントウキョウインミテイ,キムラ シュンイチ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Inte |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| Lecture, blackboard |
| Credits |
1.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
Graduate Students |
| Keywords |
Combinatorial Games |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
Introductory Lectures on the Theory of Partizan Combinatorial Games |
| Class Schedule |
Lecture 1 What are Combinatoric Games?
Lecture 2 Rulesets and winning strategy
Lecture 3 Algebraic structure of partizan games (part 1)
Lecture 4 Algebraic structure of partizan games (part 2)
lecutre 5 Exercise 1
Lecture 6 Game values
Lecture 7 Dyadic rational
Lecture 8 Infinitesimal values and impartial games
Lecture 9 Properties of Game values
Lecture 10 Exercise 2
Lecutre 11 Advanced Topic: Temperature and Atomic values
Lecture 12 Advanced Topic: Universal Games and All-number Games
Lecture 13 Advanced Topic: Analysis of Rulesets (Part 1)
Lecture 14 Advanced Topic: Analysis of Rulesets (Part 2)
Lecutre 15: Summary
|
Text/Reference
Books,etc. |
T. Abuku, K. Sskai, K. Suetsugu: Kumiawase Gemu Riron no Sekai Sugaku de Tokiakasu HIsshouhou (The world of Combinatorial Game Theory, Winning Strategy Revealed by Mathematics, In Japanese) Kyoritsu 2024
安福智明、坂井公、末續鴻輝著 組合せゲーム理論の世界: 数学で解き明かす必勝法 (共立出版) |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Try to review by playing games introduced in the lecture. |
| Requirements |
|
| Grading Method |
By Reports |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |