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› Find signed collectible books: 'Combinatorial Games (Proceedings of Symposia in Applied Mathematics)'
Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings in Columbus in August 1990, the ten papers in this volume will provide readers with insight into this exciting field. Because the book requires very little background, it will likely find a wide audience that includes the amateur interested in playing games, the undergraduate looking for a new area of study, instructors seeking a refreshing area in which to give new courses at both the undergraduate and graduate levels, and graduate students looking for a variety of research topics.In the opening paper, Guy contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. Conway introduces a new theory of numbers, including infinitesimals and transfinite numbers, which has emerged as a special case of the theory of games. Guy describes impartial games, with the same options for both players, and the Sprague-Grundy theory. Conway discusses a variety of ways in which games can be played simultaneously. Berlekamp uses the theory of 'hot' games to make remarkable progress in the analysis of Go Endgames.Pless demonstrates the close connection between several impartial games and error-correcting codes. Fraenkel explains the way in which complexity theory is very well illustrated by combinatorial games, which supply a plethora of examples of harder problems than most of those which have been considered in the past. Nowakowski outlines the theory of three particular games - Welter's Game, Sylver Coinage, and Dots-and-Boxes. A list of three dozen open problems and a bibliography of 400 items are appended.
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› Find signed collectible books: 'The Inquisitive Problem Solver (MAA Problem Book Series)'
The Inquisitive Problem Solver is a collection of mathematical miniatures composed to stimulate and entertain. On a deeper level, these little puzzles, accessible to a general audience, provide a setting rich in mathematical themes. One of the larger purposes of the book is to show how everyday situations can lead an inquisitive problem solver to profound and far-reaching mathematical principles. Discussions accompanying the problems reinforce important techniques in discrete mathematics, and the solutions - which require verbal arguments - show that proofs and careful reasoning are at the core of doing mathematics. In addition, anyone reading this book will learn that asking good questions is just as important to the progress of mathematics as answering questions. The book contains more than a dozen open problems for further research by amateurs or professionals. This treasury of problems will serve as a resource for anyone seeking to improve their problem-solving knowledge and know-how.
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› Find signed collectible books: 'Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics)'
Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
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› Find signed collectible books: 'Unsolved Problems in Number Theory (Problem books in mathematics)'
Unsolved Problems in Number Theory contains discussions of hundreds of open questions, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory, Diophantine equations, sequences of integers, and miscellaneous. To prevent repetition of earlier efforts or duplication of previously known results, an extensive and up-to-date collection of references follows each problem. In the second edition, not only extensive new material has been added, but corrections and additions have been included throughout the book.
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› Find signed collectible books: 'Unsolved Problems in Number Theory (Texts in Applied Mathematics) (v. 1)'
Unsolved Problems in Number Theory contains discussions of hundreds of open questions, organized into 185 different topics. They represent numerous aspects of number theory and are organized into six categories: prime numbers, divisibility, additive number theory, Diophantine equations, sequences of integers, and miscellaneous. To prevent repetition of earlier efforts or duplication of previously known results, an extensive and up-to-date collection of references follows each problem. In the second edition, not only extensive new material has been added, but corrections and additions have been included throughout the book.
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› Find signed collectible books: 'Winning Ways for Your Mathematical Plays: Volume 1'
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.
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› Find signed collectible books: 'Winning Ways for Your Mathematical Plays, Vol. 2'
For the Mathematical Players.
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› Find signed collectible books: 'Winning Ways for Your Mathematical Plays, Volume 3'
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. From the Table of Contents: - Turn and Turn About - Chips and Strips - Dots-and-Boxes - Spots and Sprouts - The Emperor and His Money - The King and the Consumer - Fox and Geese; Hare and Hounds - Lines and Squares
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› Find signed collectible books: 'Winning Ways for Your Mathematical Plays, Volume 4'
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 4, the authors present a Diamond of a find, covering one-player games such as Solitaire.
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› Find signed collectible books: 'Gewinnen Strategien für mathematische Spiele: Band 3 Fallstudien (Mathematik) (German Edition)'
Der dritte Band ,,Fallstudien" bietet eine Fülle von speziellen Beispielen.
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› Find signed collectible books: 'Gewinnen Strategien für mathematische Spiele: Band 4 Solitairspiele (Mathematik) (German Edition)'
Der vierte Band ,,Solitairspiele" behandelt Ein-Personen-Spiele mit Ausnahme von Schach, Go etc. Ein Hauptteil ist dem berühmten ,,Game of Life" gewidmet.
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› Find signed collectible books: 'Gewinnen, Bd.1, Von der Pike auf'
Drei der größten mathematischen Spieler haben hier ein Buch geschrieben, das über die üblichen Sammlungen von Tricks weit hinausgeht. Wer es liest, lernt Spiele zu analysieren. Er übt systematisch, Gewinnstrategien zu finden und kompliziert aussehende Spiele auf einfachere zurückzuführen; er entdeckt Verwandtschaften zwischen Spielen, erfindet neue Spiele durch Abwandlung der alten und spürt geheimnisvolle Gesetze auf - das Buch ist eine Fundgrube für jeden, den Spiele faszinieren! Im ersten Band wird ,,Von der Pike auf" die allgemeine Theorie von Spielen entwickelt, die dem Nim-Spiel verwandt sind.
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› Find signed collectible books: 'Gewinnen, Bd.2, Bäumchen-wechsle-dich'
Im zweiten Band ,,Bäumchen-wechsle-dich" geht es vorwiegend um verschiedene Formen zusammengesetzter Spiele.
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