How to Win at Nim (UMAP)
Author: Daniel E. Loeb
This module uses a variant of the Moore Teaching method to stimulate the students to derive the theory of impartial games for themsevles from the ground up. An appendix gives suggestions to the instructor.
Table of Contents:
THE RULES OF NIM
DEFINITION OF WINNING
NIM-SUM
THE MEX RULE
EXCLUSIVE-OR
NIM WITH MANY PILES
CONCLUSION
SOLUTIONS TO THE EXERCISES
APPENDIX: USE IN THE CLASSROOM
ACKNOWLEDGMENTS
REFERENCES
ABOUT THE AUTHOR
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