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This second edition of Lessons in Play reorganizes the presentation
of the popular original text in combinatorial game theory to make
it even more widely accessible. Starting with a focus on the
essential concepts and applications, it then moves on to more
technical material. Still written in a textbook style with
supporting evidence and proofs, the authors add many more exercises
and examples and implement a two-step approach for some aspects of
the material involving an initial introduction, examples, and basic
results to be followed later by more detail and abstract results.
Features Employs a widely accessible style to the explanation of
combinatorial game theory Contains multiple case studies Expands
further directions and applications of the field Includes a
complete rewrite of CGSuite material
This 2003 book provides an analysis of combinatorial games - games
not involving chance or hidden information. It contains a
fascinating collection of articles by some well-known names in the
field, such as Elwyn Berlekamp and John Conway, plus other
researchers in mathematics and computer science, together with some
top game players. The articles run the gamut from theoretical
approaches (infinite games, generalizations of game values,
2-player cellular automata, Alpha-Beta pruning under partial
orders) to other games (Amazons, Chomp, Dot-and-Boxes, Go, Chess,
Hex). Many of these advances reflect the interplay of the computer
science and the mathematics. The book ends with a bibliography by
A. Fraenkel and a list of combinatorial game theory problems by R.
K. Guy. Like its predecessor, Games of No Chance, this should be on
the shelf of all serious combinatorial games enthusiasts.
This second edition of Lessons in Play reorganizes the presentation
of the popular original text in combinatorial game theory to make
it even more widely accessible. Starting with a focus on the
essential concepts and applications, it then moves on to more
technical material. Still written in a textbook style with
supporting evidence and proofs, the authors add many more exercises
and examples and implement a two-step approach for some aspects of
the material involving an initial introduction, examples, and basic
results to be followed later by more detail and abstract results.
Features Employs a widely accessible style to the explanation of
combinatorial game theory Contains multiple case studies Expands
further directions and applications of the field Includes a
complete rewrite of CGSuite material
This book is a state-of-the-art look at combinatorial games, that is, games not involving chance or hidden information. It contains a fascinating collection of articles by some of the top names in the field, such as Elwyn Berlekamp and John Conway, plus other researchers in mathematics and computer science, together with some top game players. The articles run the gamut from new theoretical approaches (infinite games, generalizations of game values, 2-player cellular automata, Alpha-Beta pruning under partial orders) to the very latest in some of the hottest games (Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex). Many of these advances reflect the interplay of the computer science and the mathematics. The book ends with an updated bibliography by A. Fraenkel and an updated and annotated list of combinatorial game theory problems by R. K. Guy.
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