Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach

Publisher: Courier Corporation

Published: 2012-03-15

Total Pages: 482

ISBN-13: 0486131742

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Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.


The Mathematics of Various Entertaining Subjects

The Mathematics of Various Entertaining Subjects

Author: Jennifer Beineke

Publisher: Princeton University Press

Published: 2017-09-05

Total Pages: 408

ISBN-13: 0691171920

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The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, and surreal numbers were inspired by the game of Go. Yet even with such groundbreaking findings and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects now returns with a brand-new compilation of fascinating problems and solutions in recreational mathematics. This latest volume gathers together the top experts in recreational math and presents a compelling look at board games, card games, dice, toys, computer games, and much more. The book is divided into five parts: puzzles and brainteasers, geometry and topology, graph theory, games of chance, and computational complexity. Readers will discover what origami, roulette wheels, and even the game of Trouble can teach about math. Essays contain new results, and the contributors include short expositions on their topic’s background, providing a framework for understanding the relationship between serious mathematics and recreational games. Mathematical areas explored include combinatorics, logic, graph theory, linear algebra, geometry, topology, computer science, operations research, probability, game theory, and music theory. Investigating an eclectic mix of games and puzzles, The Mathematics of Various Entertaining Subjects is sure to entertain, challenge, and inspire academic mathematicians and avid math enthusiasts alike.


The Master Book of Mathematical Recreations

The Master Book of Mathematical Recreations

Author: Fred Schuh

Publisher: Courier Dover Publications

Published: 2015-11-11

Total Pages: 452

ISBN-13: 0486808955

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Praised for its "exceptionally good value" by the Journal of Recreational Mathematics, this book offers fun-filled insights into many fields of mathematics. The brainteasers include original puzzles as well as new approaches to classic conundrums. A vast assortment of challenges features domino puzzles, the game of noughts and crosses, games of encirclement, sliding movement puzzles, subtraction games, puzzles in mechanics, games with piles of matches, a road puzzle with concentric circles, "Catch the Giant," and much more. Detailed solutions show several methods by which a particular problem may be answered, why one method is preferable, and where the others fail. With numerous worked examples, the clear, step-by-step analyses cover how the problem should be approached, including hints and enumeration of possibilities and determination of probabilities, application of the theory of probability, and evaluation of contingencies and mean values. Readers are certain to improve their puzzle-solving strategies as well as their mathematical skills.


Adventures In Recreational Mathematics (In 2 Volumes)

Adventures In Recreational Mathematics (In 2 Volumes)

Author: David Singmaster

Publisher: World Scientific

Published: 2021-09-21

Total Pages: 494

ISBN-13: 9811251622

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David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.


Mental Gymnastics

Mental Gymnastics

Author: Dick Hess

Publisher: Courier Corporation

Published: 2011-06-16

Total Pages: 160

ISBN-13: 0486480542

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Ready for a challenge? These puzzles offer a workout for your mathematical thinking processes along with your aptitude for logic and insight and your grasp of geometrical and analytical concepts. They'll test your perseverance, too! Suitable for dedicated puzzlists ages 12 and older, these 123 brainteasers vary in difficulty, ranging from playful puzzles involving games to tough questions of probability. Complete solutions appear at the end.


Topics in Recreational Mathematics

Topics in Recreational Mathematics

Author: J. H. Cadwell

Publisher: Cambridge University Press

Published: 1966-01-02

Total Pages: 192

ISBN-13: 9780521044097

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This book shows something of the fascination, beauty and power of mathematical ideas. It is based on talks which the author has given to mathematical and scientific audiences, many of whom found the material unfamiliar. The fifteen topics range from the distribution of prime numbers among the integers to the enumeration of the seventeen distinct types of wall-paper pattern. (The standard of mathematics assumed in the reader is roughly that of British university entrance requirements and its equivalent overseas.) The book should be of particular value in sixth-form libraries and to teachers of mathematics at various levels who are looking for new and unusual examples to enliven their work.


Book of Curious and Interesting Puzzles

Book of Curious and Interesting Puzzles

Author: David Wells

Publisher: Dover Publications

Published: 2006

Total Pages: 0

ISBN-13: 9780486443416

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"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.


The Joy of Recreational Mathematics

The Joy of Recreational Mathematics

Author: Vijaya Khandhurie

Publisher: Prabhat Prakashan

Published: 2021-01-19

Total Pages: 195

ISBN-13: 8184303718

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Embark on a Fascinating Journey of Discovery with "The Joy of Recreational Mathematics" by Vijaya Khandhurie! Prepare to be captivated by the enchanting world of recreational mathematics with Vijaya Khandhurie's insightful book, "The Joy of Recreational Mathematics." In this captivating exploration, Khandhurie invites readers to immerse themselves in the playful and thought-provoking realm of mathematical puzzles, games, and curiosities. From mind-bending riddles to fascinating paradoxes and optical illusions, "The Joy of Recreational Mathematics" offers a diverse array of challenges that will engage and entertain readers of all ages. Khandhurie's engaging writing style and clear explanations make complex mathematical concepts accessible and enjoyable for everyone. Through a series of intriguing puzzles and activities, readers will uncover the beauty and elegance of mathematics while sharpening their problem-solving skills and critical thinking abilities. Whether you're a seasoned mathematician or a curious novice, there's something in this book to delight and inspire you. Themes of creativity, exploration, and intellectual curiosity run throughout "The Joy of Recreational Mathematics," encouraging readers to approach mathematics with a sense of wonder and adventure. Khandhurie's passion for the subject shines through on every page, making this book a joy to read and explore. Since its publication, "The Joy of Recreational Mathematics" has received widespread acclaim for its engaging content and innovative approach to mathematical education. Whether you're solving puzzles solo or sharing them with friends and family, this book promises hours of entertainment and enlightenment. Join Vijaya Khandhurie on a journey of discovery and delight as you explore the fascinating world of recreational mathematics. Order your copy of "The Joy of Recreational Mathematics" today and unlock the secrets of this timeless and captivating discipline. Don't miss your chance to experience the joy of recreational mathematics. Order your copy of Vijaya Khandhurie's book now and embark on an exciting journey of intellectual exploration and discovery!


Mathematical Recreations

Mathematical Recreations

Author: Maurice Kraitchik

Publisher: Courier Corporation

Published: 2006-01-01

Total Pages: 338

ISBN-13: 0486453588

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Ranging from ancient Greek and Roman problems to the most modern applications of special mathematical techniques for amusement, this popular volume contains material to delight both beginners and advanced mathematicians. Its 250 lively puzzles, problems, situations, and demonstrations of recreational mathematics feature full solutions and analyses. Fifty-seven highly unusual historic problems are derived from ancient Greek, medieval European, Arabic, and Hindu sources. Other problems are based on "mathematics without numbers," geometry, topology, the calendar, arithmetic, and the mathematics of chess moves. Fifty pages comprise numerical pastimes built out of figurate numbers, Mersenne numbers, Fermat numbers, cyclic numbers, automorphic numbers, and prime numbers; probability problems are also fully analyzed. More than forty pages are devoted to magic squares, and the concluding portion of the book presents more than twenty-five new positional and permutational games of permanent value. A discussion of fairy chess is followed by rules and procedural information on latruncles, go, reversi, jinx, ruma, lasca, tricolor, four-story towers, tetrachrome, and other games. More than a collection of wonderful puzzles, this volume offers a thorough, rigorous, and entertaining sampler of recreational mathematics, highlighted by numerous insights into specialized fields.