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Book Bicycle or Unicycle   A Collection of Intriguing Mathematical Puzzles

Download or read book Bicycle or Unicycle A Collection of Intriguing Mathematical Puzzles written by Daniel J. Velleman and published by American Mathematical Soc.. This book was released on 2020-08-17 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bicycle or Unicycle? is a collection of 105 mathematical puzzles whose defining characteristic is the surprise encountered in their solutions. Solvers will be surprised, even occasionally shocked, at those solutions. The problems unfold into levels of depth and generality very unusual in the types of problems seen in contests. In contrast to contest problems, these are problems meant to be savored; many solutions, all beautifully explained, lead to unanswered research questions. At the same time, the mathematics necessary to understand the problems and their solutions is all at the undergraduate level. The puzzles will, nonetheless, appeal to professionals as well as to students and, in fact, to anyone who finds delight in an unexpected discovery. These problems were selected from the Macalester College Problem of the Week archive. The Macalester tradition of a weekly problem was started by Joseph Konhauser in 1968. In 1993 Stan Wagon assumed problem-generating duties. A previous book written by Wagon, Konhauser, and Dan Velleman, Which Way Did the Bicycle Go?, gathered problems from the first twenty-five years of the archive. The title problem in that collection was inspired by an error in logic made by Sherlock Holmes, who attempted to determine the direction of a bicycle from the tracks of its wheels. Here the title problem asks whether a bicycle track can always be distinguished from a unicycle track. You'll be surprised by the answer.

Book Which Way Did the Bicycle Go

Download or read book Which Way Did the Bicycle Go written by Joseph D. E. Konhauser and published by American Mathematical Soc.. This book was released on 1996-12-31 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product $1cdot 2cdot 3cdots 1,000,000$? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Book The Mathematics of Various Entertaining Subjects

Download or read book The Mathematics of Various Entertaining Subjects written by Jennifer Beineke and published by Princeton University Press. This book was released on 2019-08-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of mathematics is replete with examples of major breakthroughs resulting from solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, there remain few conduits for research in recreational mathematics. The Mathematics of Various Entertaining Subjects now returns with an all-new third volume, presenting new research in diverse areas of recreational mathematics. This volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Readers will create Spiral Galaxies, Japanese symmetric grid puzzles consisting of squares and circles whose solutions are letters and numbers; delve into a paradox in the game of Bingo; examine the card tricks of mathematician-philosopher Charles Sanders Peirce; learn about the mathematics behind Legos; and much more. Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts.

Book Mathematical Puzzles

Download or read book Mathematical Puzzles written by Peter Winkler and published by CRC Press. This book was released on 2021-01-21 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.

Book Which Way Did the Bicycle Go

Download or read book Which Way Did the Bicycle Go written by and published by . This book was released on 1996 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Puzzles

Download or read book Mathematical Puzzles written by Peter Winkler and published by CRC Press. This book was released on 2003-12-26 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected over several years by Peter Winkler, of Bell Labs, dozens of elegant, intriguing challenges are presented in Mathematical Puzzles. The answers are easy to explain, but without this book, devilishly hard to find. Creative reasoning is the key to these puzzles. No involved computation or higher mathematics is necessary.

Book Which Way Did the Bicycle Go

Download or read book Which Way Did the Bicycle Go written by Joseph D. E. Konhauser and published by Cambridge University Press. This book was released on 1996 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The best problems selected from over 25 years of the Problem of the Week at Macalester College.

Book Mathematical Puzzles and Curiosities

Download or read book Mathematical Puzzles and Curiosities written by Barry R. Clarke and published by Courier Corporation. This book was released on 2013-06-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intriguing collection features recreational math, logic, and creativity puzzles. Classic and new puzzles include The Monty Hall Problem, The Unexpected Hanging, The Shakespeare Puzzles, and Finger Multiplication.

Book The Big Book of Mind Bending Puzzles

Download or read book The Big Book of Mind Bending Puzzles written by Terry Stickels and published by Sterling Publishing Company, Inc.. This book was released on 2006 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brainiacs on the prowl for challenging fun will find everything they're looking for in these cunning conundrums. Puzzle master Terry Stickels has created a mind-melting collection filled with hundreds of diverse and fiendishly tricky problems--including wordplay, math, analytic reasoning, logic, visual dilemmas, and code breaking. Figure out the next number in a series, find hidden phrases, and determine what a three-dimensional object would look like from two-dimensional drawings. Every puzzle provides a workout that strengthens mental muscles. And while these brainteasers do require concentration, they don't demand any special training or high-level math skills. A little practice, patience, and imagination are all it takes.

Book The Information

    Book Details:
  • Author : James Gleick
  • Publisher : Vintage
  • Release : 2011-03-01
  • ISBN : 0307379574
  • Pages : 400 pages

Download or read book The Information written by James Gleick and published by Vintage. This book was released on 2011-03-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and provocative exploration of the big ideas of the modern era: Information, communication, and information theory. Acclaimed science writer James Gleick presents an eye-opening vision of how our relationship to information has transformed the very nature of human consciousness. A fascinating intellectual journey through the history of communication and information, from the language of Africa’s talking drums to the invention of written alphabets; from the electronic transmission of code to the origins of information theory, into the new information age and the current deluge of news, tweets, images, and blogs. Along the way, Gleick profiles key innovators, including Charles Babbage, Ada Lovelace, Samuel Morse, and Claude Shannon, and reveals how our understanding of information is transforming not only how we look at the world, but how we live. A New York Times Notable Book A Los Angeles Times and Cleveland Plain Dealer Best Book of the Year Winner of the PEN/E. O. Wilson Literary Science Writing Award

Book Mathematica in Action

    Book Details:
  • Author : Stan Wagon
  • Publisher : Springer Science & Business Media
  • Release : 1999
  • ISBN : 9780387986845
  • Pages : 624 pages

Download or read book Mathematica in Action written by Stan Wagon and published by Springer Science & Business Media. This book was released on 1999 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematica in Action, 2nd Edition," is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the "American Mathematical Monthly," a columnist for the "Mathematical Intelligencer" and "Mathematica in Education and Research," author of "The Banach-Tarski Paradox" and "Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.

Book Beyond Infinity

    Book Details:
  • Author : Eugenia Cheng
  • Publisher : Profile Books
  • Release : 2017-03-09
  • ISBN : 1782830812
  • Pages : 204 pages

Download or read book Beyond Infinity written by Eugenia Cheng and published by Profile Books. This book was released on 2017-03-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Book Machine of Death

    Book Details:
  • Author : Ryan North
  • Publisher : Machines of Death LLC
  • Release : 2010
  • ISBN : 0982167121
  • Pages : 468 pages

Download or read book Machine of Death written by Ryan North and published by Machines of Death LLC. This book was released on 2010 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: MACHINE OF DEATH tells thirty-four different stories about people who know how they will die. Prepare to have your tears jerked, your spine tingled, your funny bone tickled, your mind blown, your pulse quickened, or your heart warmed. Or better yet, simply prepare to be surprised. Because even when people do have perfect knowledge of the future, there's no telling exactly how things will turn out.

Book English for Everyone  English Vocabulary Builder

Download or read book English for Everyone English Vocabulary Builder written by DK and published by Penguin. This book was released on 2018-01-02 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: PLEASE NOTE - this is a replica of the print book and you will need paper and a pencil to complete the exercises. This absolutely essential language guide and workbook will expand your English vocabulary in no time. Spilling over with thousands of entries for useful words and phrases, this is the perfect study aid for any adult learning English as a foreign language. With 3,000 words across hundreds of pages, English Vocabulary Builder brings you everything you need to know and much, much more. From activities, family, holidays, science, and work to animals, feelings, health, sports, and weather, just about every subject in the English language is covered in eye-catching, illustrative detail. All the vocabulary is shown with both UK and US spellings, and every word can be heard with its own audio recording in the accompanying app available for download. Additional interactive exercises ensure language learning is an easy, entertaining, and educational experience. This book is part of DK's best-selling English for Everyone series, which is suitable for all levels of English language learners and provides the perfect reading companion for study, exams, work, or travel. With audio material available on the accompanying website and Android/iOS apps, there has never been a better time to learn English.

Book The Onion Book of Known Knowledge

Download or read book The Onion Book of Known Knowledge written by The Onion and published by Little, Brown. This book was released on 2012-10-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you a witless cretin with no reason to live? Would you like to know more about every piece of knowledge ever? Do you have cash? Then congratulations, because just in time for the death of the print industry as we know it comes the final book ever published, and the only one you will ever need: The Onion's compendium of all things known. Replete with an astonishing assemblage of facts, illustrations, maps, charts, threats, blood, and additional fees to edify even the most simple-minded book-buyer, The Onion Book of Known Knowledge is packed with valuable information -- such as the life stages of an Aunt; places to kill one's self in Utica, New York; and the dimensions of a female bucket, or "pail." With hundreds of entries for all 27 letters of the alphabet, The Onion Book of Known Knowledge must be purchased immediately to avoid the sting of eternal ignorance.

Book Artificial Intelligence in the 21st Century

Download or read book Artificial Intelligence in the 21st Century written by Stephen Lucci and published by Mercury Learning and Information. This book was released on 2015-12-10 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition provides a comprehensive, colorful, up-to-date, and accessible presentation of AI without sacrificing theoretical foundations. It includes numerous examples, applications, full color images, and human interest boxes to enhance student interest. New chapters on robotics and machine learning are now included. Advanced topics cover neural nets, genetic algorithms, natural language processing, planning, and complex board games. A companion DVD is provided with resources, applications, and figures from the book. Numerous instructors’ resources are available upon adoption. eBook Customers: Companion files are available for downloading with order number/proof of purchase by writing to the publisher at [email protected]. FEATURES: • Includes new chapters on robotics and machine learning and new sections on speech understanding and metaphor in NLP • Provides a comprehensive, colorful, up to date, and accessible presentation of AI without sacrificing theoretical foundations • Uses numerous examples, applications, full color images, and human interest boxes to enhance student interest • Introduces important AI concepts e.g., robotics, use in video games, neural nets, machine learning, and more thorough practical applications • Features over 300 figures and color images with worked problems detailing AI methods and solutions to selected exercises • Includes DVD with resources, simulations, and figures from the book • Provides numerous instructors’ resources, including: solutions to exercises, Microsoft PP slides, etc.

Book 501 Word Analogy Questions

Download or read book 501 Word Analogy Questions written by Learning Express LLC and published by Learning Express (NY). This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Helps students become familiar with the question format on standardized tests and learn how to apply logic and reasoning skills to word knowledge. Focuses on exact word definitions and secondary word meanings, relationships between words and how to draw logical conclusions about possible answer choices. Identifies analogies, cause/effect, part/whole, type/category, synonyms, and antonyms.