Bicycle Or Unicycle A Collection Of Intriguing Mathematical Puzzles
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Bicycle Or Unicycle A Collection Of Intriguing Mathematical Puzzles
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Author : Daniel J. Velleman
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-08-17
Bicycle Or Unicycle A Collection Of Intriguing Mathematical Puzzles written by Daniel J. Velleman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-17 with Mathematics categories.
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.
The Mathematical Playground
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Author : Alissa S. Crans
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-25
The Mathematical Playground written by Alissa S. Crans and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-25 with Mathematics categories.
Welcome to The Mathematical Playground, a book celebrating more than thirty years of the problems column in the MAA undergraduate magazine, Math Horizons. Anecdotes, interviews, and historical sketches accompany the puzzles, conveying the vibrancy of the “Playground” community. The lively prose and humor used throughout the book reveal the enthusiasm and playfulness that have become the column's hallmark. Each chapter features a theme that helps illustrate community: from the Opening Acts—chronicling how interesting questions snowball into original research—to the Posers and Solvers themselves. These stories add an engaging dimension beyond the ample mathematical challenge. A particular highlight is a chapter introducing the seven editors who have produced “The Playground”, revealing the perspectives of the individuals behind the column. The Mathematical Playground has plenty to offer both novice and experienced solvers. The lighthearted, conversational style, together with copious hints, a problem-solving primer, and a detailed glossary, welcomes newcomers, regardless of their background, to the puzzle-solving world. The more seasoned solver will find over twenty new problems plus open-ended challenges and suggestions for further investigation. Whether you're a long-time Math Horizons reader, or encountering “The Playground” for the first time, you are invited into this celebration of the rich culture of recreational mathematics. Just remember the most important rule … Have fun!
The Mathematics Of Various Entertaining Subjects
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Author : Jennifer Beineke
language : en
Publisher: Princeton University Press
Release Date : 2019-08-13
The Mathematics Of Various Entertaining Subjects written by Jennifer Beineke and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Mathematics categories.
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.
De Kabouterformule
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Author : Alex van den Brandhof
language : nl
Publisher: Prometheus
Release Date : 2023-10-04
De Kabouterformule written by Alex van den Brandhof and has been published by Prometheus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Mathematics categories.
Een wiskundig raadsel is zowel een genot als een marteling. Het geeft je de gelegenheid om te breinbruisen en te hersenkraken - voor een minuut, een uur of een week. Tegelijkertijd is de frustratie groot als je de oplossing niet vindt. Een goed raadsel laat je niet meer los. In dit boek presenteert Alex van den Brandhof in twintig hoofdstukken problemen over kabouters die de kleur van hun muts moeten raden - zich houdend aan strikte spelregels. Meestal denk je in eerste instantie: dat kán toch niet! En dan blijkt er toch een geniale oplossing te bestaan. Het boek is meer dan gewoon een bundel raadsels, vanwege de diepe en onverwachte connecties met wiskunde in de meest pure vorm. Getaltheorie, coderingstheorie, grafentheorie: het zijn maar een paar deelgebieden van de wiskunde die bij de oplossingen van pas komen. Er zijn zelfs raakvlakken met vragen waar wiskundigen nog geen antwoord op hebben. De kabouterformule is een bron van verwondering. Een uitdaging voor de geest. Alex van den Brandhof (Amsterdam, 1976) is wetenschapsjournalist met een passie voor wiskunde. Hij schrijft onder meer voor NRC. Eerder verscheen van zijn hand Priemwoestijnen. Ook was hij medeauteur van De Pythagoras Code en De zeven grootste raadsels van de wiskunde. Alex van den Brandhof woont in Haarlem en Bazel, waar hij lesgeeft op een middelbare school.
Number Theory And Combinatorics
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Author : Bruce M. Landman
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-04-19
Number Theory And Combinatorics written by Bruce M. Landman and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-19 with Mathematics categories.
Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community. This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.
Mathematica In Action
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Author : Stan Wagon
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Mathematica In Action written by Stan Wagon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
"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.
The Idea Factory
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Author : Jon Gertner
language : en
Publisher: Penguin
Release Date : 2012-03-15
The Idea Factory written by Jon Gertner and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Business & Economics categories.
The definitive history of America’s greatest incubator of innovation and the birthplace of some of the 20th century’s most influential technologies “Filled with colorful characters and inspiring lessons . . . The Idea Factory explores one of the most critical issues of our time: What causes innovation?” —Walter Isaacson, The New York Times Book Review “Compelling . . . Gertner's book offers fascinating evidence for those seeking to understand how a society should best invest its research resources.” —The Wall Street Journal From its beginnings in the 1920s until its demise in the 1980s, Bell Labs-officially, the research and development wing of AT&T-was the biggest, and arguably the best, laboratory for new ideas in the world. From the transistor to the laser, from digital communications to cellular telephony, it's hard to find an aspect of modern life that hasn't been touched by Bell Labs. In The Idea Factory, Jon Gertner traces the origins of some of the twentieth century's most important inventions and delivers a riveting and heretofore untold chapter of American history. At its heart this is a story about the life and work of a small group of brilliant and eccentric men-Mervin Kelly, Bill Shockley, Claude Shannon, John Pierce, and Bill Baker-who spent their careers at Bell Labs. Today, when the drive to invent has become a mantra, Bell Labs offers us a way to enrich our understanding of the challenges and solutions to technological innovation. Here, after all, was where the foundational ideas on the management of innovation were born.
Planning Algorithms
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Author : Steven M. LaValle
language : en
Publisher: Cambridge University Press
Release Date : 2006-05-29
Planning Algorithms written by Steven M. LaValle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-29 with Computers categories.
Planning algorithms are impacting technical disciplines and industries around the world, including robotics, computer-aided design, manufacturing, computer graphics, aerospace applications, drug design, and protein folding. Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that tightly integrates a vast body of literature from several fields into a coherent source for teaching and reference in a wide variety of applications. Difficult mathematical material is explained through hundreds of examples and illustrations.
Calculus A Rigorous First Course
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Author : Daniel J. Velleman
language : en
Publisher: Courier Dover Publications
Release Date : 2017-01-18
Calculus A Rigorous First Course written by Daniel J. Velleman and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Mathematics categories.
Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
501 Word Analogy Questions
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Author : Learning Express LLC
language : en
Publisher: Learning Express (NY)
Release Date : 2002
501 Word Analogy Questions written by Learning Express LLC and has been published by Learning Express (NY) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Language Arts & Disciplines categories.
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.