| 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 |
WSA25000 |
Subject Classification |
Specialized Education |
| Subject Name |
代数数理特論Ｃ |
Subject Name
（Katakana） |
ダイスウスウリトクロンシー |
Subject Name in
English |
Topics in Algebra C |
| Instructor |
KIMURA SHIYUNICHI |
Instructor
(Katakana) |
キムラ シュンイチ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, First Semester, 2Term |
| Days, Periods, and Classrooms |
(2T) Tues7-8,Fri5-6：SCI E102 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| |
| Credits |
2.0 |
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 |
|
| Keywords |
Impartial Combinatorial Games, NIM |
| 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 |
Course on Impartial Combinatorial Game theory, from introduction to the newest research topics |
| Class Schedule |
lesson1 Examples of Nim Rulesets
lesson2 Definition of Games, Fundamental Theorem of Combinatorial Games
lesson3 Nim with 3 heaps
lesson4 Nim values and Bouton's theorem
lesson5 Grundy numbers and Sprague-Grundy Theory
lesson6 Subtraction Games
lesson7 Misere Nim
lesson8 Wythoff Nim
lesson9 Fibonacci Nim
lesson10 Nim products
lesson11 Cardinal numbers and characteristic 2 fields
lesson12 Yama Nim, Triangular Nim and abc Nim
lesson13 Various additions of games Suspense Numbers, Remoteness Numbers
lesson14 Enforce Operator
lesson15 Nim and Automaton |
Text/Reference
Books,etc. |
Hitotsumatsu "Mathematics of NIM", Fumihiro Sato "Mthematics of NIM" (both in Japanese)
As for English reference book, I recommend Albert Nowakowski Wolfe "Lessons in Play" |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Try to play games with your classmates |
| Requirements |
|
| Grading Method |
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. |