Combinatorial Game Theory
eBook - ePub

Combinatorial Game Theory

A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy

  1. 430 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Combinatorial Game Theory

A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy

About this book

Elwyn Berlekamp, John Conway, and Richard Guy wrote 'Winning Ways for your Mathematical Plays' and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians.

This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.

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Information

Publisher
De Gruyter
Year
2022
Print ISBN
9783110755343
eBook ISBN
9783110755497
Topic
Mathematics
Subtopic
Counting & Numeration
Index
Mathematics

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. The game of flipping coins
  5. The game of blocking pebbles
  6. Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim
  7. A note on numbers
  8. Ordinal sums, clockwise hackenbush, and domino shave
  9. Advances in finding ideal play on poset games
  10. Strings-and-Coins and Nimstring are PSPACE-complete
  11. Partizan subtraction games
  12. Circular Nim games CN(7,4)
  13. Misère domineering on 2×n boards
  14. Relator games on groups
  15. Playing Bynum’s game cautiously
  16. Genetically modified games
  17. Game values of arithmetic functions
  18. A base-p Sprague–Grundy-type theorem for p-calm subtraction games: Welter’s game and representations of generalized symmetric groups
  19. Recursive comparison tests for dicot and dead-ending games under misère play
  20. Impartial games with entailing moves
  21. Extended Sprague–Grundy theory for locally finite games, and applications to random game-trees
  22. Grundy numbers of impartial three-dimensional chocolate-bar games
  23. On the structure of misère impartial games

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Yes, you can access Combinatorial Game Theory by Richard J. Nowakowski, Bruce M. Landman, Florian Luca, Melvyn B. Nathanson, Jaroslav Nešetřil, Aaron Robertson, Richard J. Nowakowski,Bruce M. Landman,Florian Luca,Melvyn B. Nathanson,Aaron Robertson,Jaroslav Nešetřil in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over 1.5 million books available in our catalogue for you to explore.