Before Sudoku

The World of Magic Squares

Author: Seymour S. Block,Santiago Alves Tavares

Publisher: Oxford University Press, USA


Category: Games

Page: 239

View: 2667

Sudoku has become a vastly popular and even addictive game. But fans may not know that Sudoku is a recent offshoot of the venerable Magic Square, which dates back over 4,000 years to ancient China, where it was literally considered magical. Indeed, Magic Squares have fascinated centuries of mystics, astrologers, and some of the world's most brilliant thinkers, including Ben Franklin. In Sudoku and Magic Squares, Seymour Block and Santiago Tavares offer a crystal clear and engagingtour tour of Magic Squares, tracing their footsteps through through ancient and medieval history and illuminating their uses in art and design, statistics and electronics. The book provides a delightful account of a mind-boggling variety of magical squares, ranging from simple 3 x 3 and squares, to magic cubes, magic circles, magic pyramids, and even "the Beastly Magical Square," whose magic sum is 666. Of course, the authors also cover Sudoku, describing how the game became a world-wide phenomenon and revealing various strategies for solving the puzzles. And along the way, the book offers readers many fascinating facts - for instance, Sudoku was invented in 1979 by an American architect living in Indianapolis and was originally called Number Place. Oddly enough, though the puzzle is known around the world by its Japanese name (which means "single numbers"), many Japanese still call it Number Place. We also learn that in a 4 x 4 magic square, there are 880 different solutions that will yield the magic sum of 34 - a surprisingly large number until you remember that there are over 2.6 trillion possible combinations. Filled with lots of original puzzles for gamers to solve, Sudoku and Magic Squares is an entertaining book that will delight anyone who loves a challenge, including all fans of Sudoku.

Taking Sudoku Seriously

The Math Behind the World's Most Popular Pencil Puzzle

Author: Jason Rosenhouse,Laura Taalman

Publisher: Oxford University Press

ISBN: 0199913153

Category: Mathematics

Page: 226

View: 4808

Packed with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indeed, they show that Sudoku puzzles and their variants are a gateway into mathematical thinking generally. Among many topics, the authors look at the notion of a Latin square--an object of long-standing interest to mathematicians--of which Sudoku squares are a special case; discuss how one finds interesting Sudoku puzzles; explore the connections between Sudoku, graph theory, and polynomials; and consider Sudoku extremes, including puzzles with the maximal number of vacant regions, with the minimal number of starting clues, and numerous others. The book concludes with a gallery of novel Sudoku variations--just pure solving fun! Most of the puzzles are original to this volume, and all solutions to the puzzles appear in the back of the book or in the text itself. A math book and a puzzle book, Taking Sudoku Seriously will change the way readers look at Sudoku and mathematics, serving both as an introduction to mathematics for puzzle fans and as an exploration of the intricacies of Sudoku for mathematics buffs.

Alex's Adventures in Numberland

Author: Alex Bellos

Publisher: A&C Black

ISBN: 1408809591

Category: Mathematics

Page: 448

View: 4288

A hugely enjoyable, brilliantly researched explanation of the basic principles of maths.

How Round Is Your Circle?

Where Engineering and Mathematics Meet

Author: John Bryant,Chris Sangwin

Publisher: Princeton University Press

ISBN: 1400837952

Category: Mathematics

Page: 320

View: 1251

How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.

Here's Looking at Euclid

A Surprising Excursion Through the Astonishing World of Math

Author: Alex Bellos

Publisher: Simon and Schuster

ISBN: 1416596348

Category: Mathematics

Page: 336

View: 2472

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place." Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct—including the revelation that ants can actually count how many steps they’ve taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games. Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. Here’s Looking at Euclid is a rare gem that brings the beauty of math to life.

The Art of Game Design

A Book of Lenses, Second Edition

Author: Jesse Schell

Publisher: CRC Press

ISBN: 1498759564

Category: Computers

Page: 600

View: 1142

Good game design happens when you view your game from as many perspectives as possible. Written by one of the world's top game designers, The Art of Game Design presents 100+ sets of questions, or different lenses, for viewing a game’s design, encompassing diverse fields such as psychology, architecture, music, visual design, film, software engineering, theme park design, mathematics, puzzle design, and anthropology. This Second Edition of a Game Developer Front Line Award winner: Describes the deepest and most fundamental principles of game design Demonstrates how tactics used in board, card, and athletic games also work in top-quality video games Contains valuable insight from Jesse Schell, the former chair of the International Game Developers Association and award-winning designer of Disney online games The Art of Game Design, Second Edition gives readers useful perspectives on how to make better game designs faster. It provides practical instruction on creating world-class games that will be played again and again.

The Canterbury Puzzles

And Other Curious Problems

Author: Henry Ernest Dudeney

Publisher: N.A


Category: Mathematical recreations

Page: 194

View: 4697

Algorithmic Puzzles

Author: Anany Levitin,Maria Levitin

Publisher: OUP USA

ISBN: 0199740445

Category: Computers

Page: 257

View: 1086

Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.


Author: Puzzler Media

Publisher: N.A

ISBN: 9781844422999

Category: Logic puzzles

Page: 176

View: 623

Sudoku has taken the UK population by storm. Every daily newspaper wants a piece of the action and there are examples of these aggravatingly addictive puzzles all over the place. But are they all the same? Is one Sudoku just like any other? Of course not. The majority of Sudoku out there have been casually knocked up in seconds with a simple computer programme. Original Sudoku, however, brought to you by Carlton Books in association with Puzzler Media, is a magnificent tome, full of original Sudoku puzzles from the hands of the puzzle's Japanese creators. The difference between cheap computer cloned puzzles and Carlton's Sudoku is like the difference between a monosyllabic, ten-clue crossword and a proper, intelligently sourced taxing one: cheap and cheerful versus the real deal.

The Puzzle Instinct

The Meaning of Puzzles in Human Life

Author: Marcel Danesi

Publisher: Indiana University Press

ISBN: 9780253217080

Category: Games

Page: 269

View: 9713

"Humans are the only animals who create and solve puzzles—for the sheer pleasure of it—and there is no obvious genetic reason why we would do this. Marcel Danesi explores the psychology of puzzles and puzzling, with scores of classic examples. His pioneering book is both entertaining and enlightening." —Will Shortz, Crossword Editor, The New York Times "... Puzzle fanatics will enjoy the many riddles, illusions, cryptograms and other mind-benders offered for analysis." —Psychology Today "... a bristlingly clear... always intriguing survey of the history and rationale of puzzles.... [A] splendid study...." —Knight Ridder Newspapers

50 Mathematical Ideas You Really Need to Know

Author: Tony Crilly

Publisher: Quercus

ISBN: 1623651883

Category: Mathematics

Page: 208

View: 9685

Just the mention of mathematics is enough to strike fear into the hearts of many, yet without it, the human race couldn't be where it is today. By exploring the subject through its 50 key insights--from the simple (the number one) and the subtle (the invention of zero) to the sophisticated (proving Fermat's last theorem)--this book shows how mathematics has changed the way we look at the world around us.

The Total Brain Workout

Author: Marcel Danesi

Publisher: Harlequin

ISBN: 9781426829543

Category: Games & Activities

Page: 320

View: 1252

Did you know that different parts of your brain control different functions, and that with exercise, you can make each part of your brain stronger? In The Total Brain Workout you'll find 450 fun, challenging and absorbing puzzles designed to specifically target the core parts of your brain that control language, logic, memory, reasoning and visual perception. Each set of puzzles ranges from easy to challenging, and is presented with information on the area of your brain being targeted and the functions it controls, so you can customize your own workout to the specific areas you want to improve.

The Algorithm Design Manual

Author: Steven S Skiena

Publisher: Springer Science & Business Media

ISBN: 1848000707

Category: Computers

Page: 730

View: 2193

This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java

Mathematics, Magic and Mystery

Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486801179

Category: Games & Activities

Page: 208

View: 5745

Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. More than 400 tricks. 135 illustrations.

The Math Olympian

Author: Richard Hoshino

Publisher: FriesenPress

ISBN: 1460258738

Category: Education

Page: 496

View: 7957

BETHANY MACDONALD HAS TRAINED SIX LONG YEARS FOR THIS MOMENT. SHE'LL TRY TO SOLVE FIVE QUESTIONS IN THREE HOURS, FOR ONE IMPROBABLE DREAM. THE DREAM OF REPRESENTING HER COUNTRY, AND BECOMING A MATH OLYMPIAN. As a small-town girl in Nova Scotia bullied for liking numbers more than boys, and lacking the encouragement of her unsupportive single mother who frowns at her daughter's unrealistic ambition, Bethany's road to the International Math Olympiad has been marked by numerous challenges. Through persistence, perseverance, and the support of innovative mentors who inspire her with a love of learning, Bethany confronts these challenges and develops the creativity and confidence to reach her potential. In training to become a world-champion "mathlete," Bethany discovers the heart of mathematics - a subject that's not about memorizing formulas, but rather about problem-solving and detecting patterns to uncover truth, as well as learning how to apply the deep and unexpected connections of mathematics to every aspect of her life, including athletics, spirituality, and environmental sustainability. As Bethany reflects on her long journey and envisions her exciting future, she realizes that she has shattered the misguided stereotype that only boys can excel in math, and discovers a sense of purpose that through mathematics, she can and she will make an extraordinary contribution to society....

The Number Mysteries

A Mathematical Odyssey through Everyday Life

Author: Marcus du Sautoy

Publisher: St. Martin's Press

ISBN: 9780230120280

Category: Mathematics

Page: 272

View: 3962

Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians Marcus du Sautoy offers a playful and accessible examination of numbers and how, despite efforts of the greatest minds, the most fundamental puzzles of nature remain unsolved. Du Sautoy tells about the quest to predict the future—from the flight of asteroids to an impending storm, from bending a ball like Beckham to forecasting population growth. He brings to life the beauty behind five mathematical puzzles that have contributed to our understanding of the world around us and have helped develop the technology to cope with it. With loads of games to play and puzzles to solve, this is a math book for everyone.

Professor Stewart's Incredible Numbers

Author: Ian Stewart

Publisher: Basic Books

ISBN: 0465042716

Category: Mathematics

Page: 352

View: 3988

At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.

Four Lives

A Celebration of Raymond Smullyan

Author: Jason Rosenhouse,Raymond M. Smullyan

Publisher: Courier Corporation

ISBN: 0486782948

Category: Mathematics

Page: 352

View: 5426

This "best of" hardcover collection of works by Raymond Smullyan features logic puzzles, musings on mathematical logic and paradoxes, chess problems, and thoughts on the philosophy of religion, plus personal tributes to the author.

Magic Squares and Cubes

Author: William Symes Andrews

Publisher: N.A


Category: Magic squares

Page: 419

View: 373

One to Nine

The Inner Life of Numbers

Author: Andrew Hodges

Publisher: Anchor Canada

ISBN: 0385672667

Category: Mathematics

Page: 336

View: 855

Have you ever thought about the uniqueness and simplicity of One, or what it means to be Two? Is Four really so square and why are there Seven days of the week, Seven deadly sins, or even Seven wonders of the world? In One to Nine, Andrew Hodges brings numbers to life. Inspired by the popularity of Sudoku – and millennia of human attempts to figure things out – this pithy, kaleidoscopic book takes a fresh, witty and hands-on approach to such various topics as musical harmony, code breaking, and probabilities in poker and lotteries. It probes the surprising symmetries of time, space, matter, and forces. It even goes to the heart of what computers can do. Andrew Hodges weaves together the inner life of numbers – the patterns of primes and powers that we try to grasp, and that have us in their grip. Accessible to anyone with a general curiosity and interest in puzzles, One to Nine might even have you completing a fiendish Sudoku in record time.