Hiroshima University Syllabus

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Japanese
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. 
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