Combinatorial Game Theory: A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy 1st Edition

Combinatorial Game Theory: A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9783110755343,3110755343,9783110755497, 3110755491

Product details:

• ISBN-10 ‏ : ‎ 3110755491
• ISBN-13 ‏ : ‎ 9783110755497
• Author: John H. Conway , Richard K. Guy ,Richard J. Nowakowski

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.

Table contents:

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

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