The Ins and Outs of Peg Solitaire

Author: John D. Beasley
Publisher: Oxford University Press, USA
ISBN: 019286145X
Release Date: 1992
Genre: Solitaire (Board game)

For mathematical game enthusiasts, the 33-hole Peg Solitaire board presents many intriguing and difficult problems, far more fascinating than the simple problems set out in manufacturers' instructions, and behind these problems lies interesting mathematical theory. Beasley, an internationally known expert on Peg Solitaire, surveys the history of the game, shows how to play it simply and well, explains the theory behind it, and offers over 200 problems and their solutions in over 550 diagrams. Mathematical game fans aged twelve and over will find hours of enjoyment in this book.

Combinatorial Games

Author: József Beck
Publisher: Cambridge University Press
ISBN: 9780521461009
Release Date: 2008-03-20
Genre: Mathematics

Traditional game theory has been successful at developing strategy in games of incomplete information: when one player knows something that the other does not. But it has little to say about games of complete information, for example, tic-tac-toe, solitaire and hex. The main challenge of combinatorial game theory is to handle combinatorial chaos, where brute force study is impractical. In this comprehensive volume, Jzsef Beck shows readers how to escape from the combinatorial chaos via the fake probabilistic method, a game-theoretic adaptation of the probabilistic method in combinatorics. Using this, the author is able to determine the exact results about infinite classes of many games, leading to the discovery of some striking new duality principles. Available for the first time in paperback, it includes a new appendix to address the results that have appeared since the book's original publication.

CRC Concise Encyclopedia of Mathematics Second Edition

Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 9781420035223
Release Date: 2002-12-12
Genre: Mathematics

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.

More Games of No Chance

Author: Richard Nowakowski
Publisher: Cambridge University Press
ISBN: 0521808324
Release Date: 2002-11-25
Genre: Mathematics

This 2003 book documents mathematical and computational advances in Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex, and more.

Knots and Borromean Rings Rep Tiles and Eight Queens

Author: Martin Gardner
Publisher: Cambridge University Press
ISBN: 9780521756136
Release Date: 2014-09-15
Genre: Mathematics

Find new twists on knotted molecules, the hangman's paradox, cat's cradle, gambling, peg solitaire, pi and e in this book.

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author: I. Grattan-Guinness
Publisher: JHU Press
ISBN: 0801873975
Release Date: 2003
Genre: Mathematics

Mathematics is one of the most basic -- and most ancient -- types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists. The two-volume Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences recovers this mathematical heritage, bringing together many of the world's leading historians of mathematics to examine the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times to the twentieth century. In 176 concise articles divided into twelve parts, contributors describe and analyze the variety of problems, theories, proofs, and techniques in all areas of pure and applied mathematics, including probability and statistics. This indispensable reference work demonstrates the continuing importance of mathematics and its use in physics, astronomy, engineering, computer science, philosophy, and the social sciences. Also addressed is the history of higher education in mathematics. Carefully illustrated, with annotated bibliographies of sources for each article, The Companion Encyclopedia is a valuable research tool for students and teachers in all branches of mathematics. Contents of Volume 1: •Ancient and Non-Western Traditions •The Western Middle Ages and the Renaissance •Calculus and Mathematical Analysis •Functions, Series, and Methods in Analysis •Logic, Set Theories, and the Foundations of Mathematics •Algebras and Number Theory Contents of Volume 2: •Geometries and Topology •Mechanics and Mechanical Engineering •Physics, Mathematical Physics, and Electrical Engineering •Probability, Statistics, and the Social Sciences •Higher Education and Institutions •Mathematics and Culture •Select Bibliography, Chronology, Biographical Notes, and Index

Algorithmic Puzzles

Author: Anany Levitin
Publisher: Oxford University Press
ISBN: 9780199911776
Release Date: 2011-10-12
Genre: Mathematics

While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.

The mathematics of games

Author: John D. Beasley
Publisher: Oxford University Press, USA
ISBN: UOM:39015015706107
Release Date: 1989-08-24
Genre: Art

This book examines how simple mathematical analysis can throw unexpected light on games of every type & ... games of chance, games of skill, games of chance and skill, and automatic games. Discusses& classic puzzles as peg solitaire and Rubik's cube. Lucid, instructive, and full of surprises, it will fascinate mathematicians and gamesters alike. 1989 edition.

Complementary Medicine

Author: British Medical Association
Publisher: Oxford University Press, USA
ISBN: 0192861662
Release Date: 1993
Genre: Alternative Medicine

The wide range of complementary therapies available such as acupuncture, iridology, chiropractry, and reflexology, may be confusing for the consumer. It is often difficult to ascertain whether the therapist is registered with an appropriate body and competent to practice. Patients should be protected against unskilled or unscrupulous practitioners of complementary medicine. This authoritative report from the BMA provides a comprehensive account of the historical background and current practice of complementary medicine in this country. It also gives an overview of parallel developments across Europe and assesses the likely impact of EC legislation on the practice of complementary therapies. Detailed information has been provided by key bodies representing different therapies in a unique BMA survey of their practice, training, research and organization. The book concludes with a positive model of good practice and a series of helpful recommendations to protect the patient from possible harm and maximize the potential benefits of different treatments.

More mathematical byways

Author: Hugh ApSimon
Publisher: Oxford University Press, USA
ISBN: UOM:39015019573396
Release Date: 1990-08-30
Genre: Mathematics

This volume continues the popular series of mathematical problems and puzzles first introduced in Mathematical Byways (Oxford 1985). Set in the fictional villages of Ayling, Beeling, and Ceiling, the problems derive from the amusing adventures of the inhabitants. The book includes solutions and suggestions for further problem-solving. It requires little previous formal work and is intended to encourage the mastery of technique while demonstrating that mathematics can be fun.

Gewinnen Strategien f r mathematische Spiele

Author: Elwyn R. Berlekamp
Publisher: Springer-Verlag
ISBN: 9783322831729
Release Date: 2013-04-17
Genre: Technology & Engineering

Der dritte Band ,,Fallstudien" bietet eine Fülle von speziellen Beispielen.