Download or read book The Monty Hall Problem Other Puzzles written by Ivan Moscovich and published by Robson Books Limited. This book was released on 2005 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Puzzlers will feel fit to be tied - Dog Tied: If Fido is tied to a 10-foot-long rope, and his bone is 15 feet away, how is it possible that he can reach and enjoy his bone without breaking or stretching the rope? (And yes - the rope IS tied to something.) There's fun in finding the answer to this and other cool number-based problems. Dust off your mathematics and get solving. The intriguing enigmas include questions on interstellar communications, ancient geometry (Pythagoras and Plato), and even traffic patterns in gridlock city. Or play the grasshopper jumping game. It's all fascinating.
Download or read book The Monty Hall Problem written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2009-06-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issues and has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Download or read book Ask Marilyn written by Marilyn Vos Savant and published by Saint Martin's Paperbacks. This book was released on 1994-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Parade" magazine's resident genius compiles the best of her question-and-answer column that logically tackles the mysteries of the universe, brainteasers, and unique insights
Download or read book The Colossal Book of Short Puzzles and Problems written by Martin Gardner and published by W W Norton & Company Incorporated. This book was released on 2006 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renowned provocateur of popular math presents a collection of his widely recognized short puzzles--along with a few new ones--that explore chess, physics, probability, and topology, among other topics.
Download or read book The Cauchy Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Download or read book The Puzzler s Dilemma written by Derrick Niederman and published by Penguin. This book was released on 2012-03-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calling all puzzlers... From mathematics to word puzzles, from logic to lateral thinking, veteran puzzle maker Derrick Niederman delights in tackling the trickiest brainteasers in a new way. Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of Hanoi Using real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.
Download or read book The Monty Hall Problem written by Rob Deaves and published by Lulu Enterprises Uk Limited. This book was released on 2007-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short book explores the Monty Hall dilemma, a well known mathematical puzzle. The original problem, the controversy surrounding it and its solution are discussed. Further, the boundaries of the problem are expanded to consider prior knowledge and host intention. This book should be of interest to those who enjoy problem solving.
Download or read book The Shoelace Problem Other Puzzles written by Ivan Moscovich and published by Sterling Publishing Company, Inc.. This book was released on 2004 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of puzzles that demonstrate the principles of mathematics.
Download or read book Taking Sudoku Seriously written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2012-01-19 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Monty Hall Problem written by Jason Rosenhouse and published by Oxford University Press. This book was released on 2009-06-04 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians call it the Monty Hall Problem, and it is one of the most interesting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, always choosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum of mathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issues and has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.
Download or read book Loopy Logic Problems and Other Puzzles written by Ivan Moscovich and published by Courier Corporation. This book was released on 2013-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: A treat for the eye as well as the mind,these beautifully designed and intellectuallystimulating challenges werecreated by one of the world’s mostinnovative puzzlemakers. Sprinkledwith popular science factoids, 85visual puzzles include several classicsattributed to important mathematiciansand philosophers, including Galileo,Fibonacci, Foucault, Rott, Cantor,Sierpinski, and Aristotle. Solutions.Reprint of the Sterling PublishingCompany, New York, 2006 edition.
Download or read book The Curious Incident of the Dog in the Night Time written by Mark Haddon and published by Anchor Canada. This book was released on 2009-02-24 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestselling modern classic—both poignant and funny—narrated by a fifteen year old autistic savant obsessed with Sherlock Holmes, this dazzling novel weaves together an old-fashioned mystery, a contemporary coming-of-age story, and a fascinating excursion into a mind incapable of processing emotions. Christopher John Francis Boone knows all the countries of the world and their capitals and every prime number up to 7,057. Although gifted with a superbly logical brain, Christopher is autistic. Everyday interactions and admonishments have little meaning for him. At fifteen, Christopher’s carefully constructed world falls apart when he finds his neighbour’s dog Wellington impaled on a garden fork, and he is initially blamed for the killing. Christopher decides that he will track down the real killer, and turns to his favourite fictional character, the impeccably logical Sherlock Holmes, for inspiration. But the investigation leads him down some unexpected paths and ultimately brings him face to face with the dissolution of his parents’ marriage. As Christopher tries to deal with the crisis within his own family, the narrative draws readers into the workings of Christopher’s mind. And herein lies the key to the brilliance of Mark Haddon’s choice of narrator: The most wrenching of emotional moments are chronicled by a boy who cannot fathom emotions. The effect is dazzling, making for one of the freshest debut in years: a comedy, a tearjerker, a mystery story, a novel of exceptional literary merit that is great fun to read.
Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Download or read book The Monty Hall Dilemma written by Donald Granberg and published by . This book was released on 2014-12-09 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cognitive illusion occurs when the obvious answer to a thought question turns out to be incorrect. Psychological reality conflicts with objective reality. The Monty Hall Dilemma is a cognitive illusion par excellence originating in the "Let's Make a Deal" television game show in which a contestant selects one of three doors hoping that it hides the grand prize (like a new car!). After an initial guess has been made, host Monty Hall reveals a consolation prize (like a goat!) behind one of the other doors. The contestant's dilemma is whether to stay with the first choice or switch to the remaining unchosen door. Popular PARADE magazine columnist, Marilyn vos Savant, writing about the Monty Hall dilemma, received thousands of letters from readers most of whom contested her surprising solution to this dilemma. Knowing about cognitive illusions in general (several are presented here) and the Monty Hall Dilemma in particular should alert readers to the possibility that ordinary reasoning and common sense don't always apply even though people have a tendency to stick with their initial hunches.
Download or read book Paradoxes in Mathematics written by Stanley J. Farlow and published by Courier Corporation. This book was released on 2014-04-23 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled by a prominent educator and author, this volume presents an intriguing mix of mathematical paradoxes — phenomena with surprising outcomes that can be resolved mathematically. Students and puzzle enthusiasts will get plenty of enjoyment mixed with a bit of painless mathematical instruction from 30 conundrums, including The Birthday Paradox, Aristotle's Magic Wheel, and A Greek Tragedy.
Download or read book Games for Your Mind written by Jason Rosenhouse and published by Princeton University Press. This book was released on 2020-11-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.
Download or read book Let s Play Math written by Denise Gaskins and published by Tabletop Academy Press. This book was released on 2012-09-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
