UID:
almahu_9949544901802882
Format:
1 online resource (XIV, 416 p.)
ISBN:
9783110755411
,
9783110766820
Series Statement:
De Gruyter Proceedings in Mathematics
Content:
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.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
The game of flipping coins --
,
The game of blocking pebbles --
,
Transverse Wave: an impartial color-propagation game inspired by social influence and Quantum Nim --
,
A note on numbers --
,
Ordinal sums, clockwise hackenbush, and domino shave --
,
Advances in finding ideal play on poset games --
,
Strings-and-Coins and Nimstring are PSPACE-complete --
,
Partizan subtraction games --
,
Circular Nim games CN(7, 4) --
,
Misère domineering on 2 × n boards --
,
Relator games on groups --
,
Playing Bynum's game cautiously --
,
Genetically modified games --
,
Game values of arithmetic functions --
,
A base-p Sprague-Grundy-type theorem for p-calm subtraction games: Welter's game and representations of generalized symmetric groups --
,
Recursive comparison tests for dicot and dead-ending games under misère play --
,
Impartial games with entailing moves --
,
Extended Sprague-Grundy theory for locally finite games, and applications to random game-trees --
,
Grundy numbers of impartial three-dimensional chocolate-bar games --
,
On the structure of misère impartial games
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Plus DeG Package 2022 Part 1, De Gruyter, 9783110766820
In:
EBOOK PACKAGE COMPLETE 2022 English, De Gruyter, 9783110993899
In:
EBOOK PACKAGE COMPLETE 2022, De Gruyter, 9783110994810
In:
EBOOK PACKAGE Mathematics 2022 English, De Gruyter, 9783110993868
In:
EBOOK PACKAGE Mathematics 2022, De Gruyter, 9783110770445
Additional Edition:
ISBN 9783110755497
Additional Edition:
ISBN 9783110755343
Language:
English
DOI:
10.1515/9783110755411
URL:
https://doi.org/10.1515/9783110755411
URL:
https://www.degruyter.com/isbn/9783110755411