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Graduate Studies in Mathematics
2013; approx. 527 pp; hardcover
List Price: US$89
Member Price: US$71.20
Order Code: GSM/146
Not yet published.
Expected publication date is July 15, 2013.
Combinatorial Problems and Exercises: Second Edition - Laszlo Lovasz
An Introductory Course on Mathematical Game Theory - Julio Gonzalez-Diaz, Ignacio Garcia-Jurado and M Gloria Fiestras-Janeiro
The Game of Cops and Robbers on Graphs - Anthony Bonato and Richard J Nowakowski
Combinatorial game theory is the study of two-player games with no hidden information and no chance elements. The theory assigns algebraic values to positions in such games and seeks to quantify the algebraic and combinatorial structure of their interactions. Its modern form was introduced thirty years ago, with the publication of the classic Winning Ways for Your Mathematical Plays by Berlekamp, Conway, and Guy, and interest has rapidly increased in recent decades.
This book is a comprehensive and up-to-date introduction to the subject, tracing its development from first principles and examples through many of its most recent advances. Roughly half the book is devoted to a rigorous treatment of the classical theory; the remaining material is an in-depth presentation of topics that appear for the first time in textbook form, including the theory of misère quotients and Berlekamp's generalized temperature theory.
Packed with hundreds of examples and exercises and meticulously cross-referenced, Combinatorial Game Theory will appeal equally to students, instructors, and research professionals. More than forty open problems and conjectures are mentioned in the text, highlighting the many mysteries that still remain in this young and exciting field.
Aaron Siegel holds a Ph.D. in mathematics from the University of California, Berkeley and has held positions at the Mathematical Sciences Research Institute and the Institute for Advanced Study. He was a partner at Berkeley Quantitative, a technology-driven hedge fund, and is presently employed by Twitter, Inc.
Graduate students and research mathematicians interested in combinatorial game theory.
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