Games of No Chance (Mathematical Sciences Research Institute Publications)

Games of No Chance (Mathematical Sciences Research Institute Publications) by Richard J. Nowakowski


English | 6 Feb. 1997 | ISBN: 0521574110 | 530 Pages | PDF | 14 MB

Is Nine-Men Morris, in the hands of perfect players, a win for white or for black – or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches and minies? This book deals with combinatorial games, that is, games not involving chance or hidden information.

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Statistical Mechanics of Phase Transitions (Oxford Science Publications) by J. M. Yeomans

Statistical Mechanics of Phase Transitions (Oxford Science Publications) by J. M. Yeomans


English | June 25, 1992 | ISBN: 0198517297, 0198517300 | 161 Pages | DJVU | 1 MB

Recent developments have led to a good understanding of universality: why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and accurately described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered; and two chapters are devoted to the renormalization group which led to a breakthrough in the field.

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