The Mathematics Of Juggling

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The Mathematics of Juggling

Burkard Polster
The Mathematics of Juggling Book PDF

Author : Burkard Polster
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 42,6 Mb
Release : 2006-05-26
Category : Mathematics
ISBN : 9780387227481

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The Mathematics of Juggling by Burkard Polster Pdf

As a juggler the author likes to finish his performances with a stunt that combines props and techniques from a variety of juggling disciplines. Imagine him idling on a giraffe unicycle, while balancing a spinning basketball on a mouth stick, and toss-juggling a sword, a toilet plunger, and a rubber chicken. As a mathematician he is also interested in the treasure trove of beautiful mathematics used to model the different activities in a juggler's repertoire. In this book he provides an intellectually stimulating collection of mostly self-contained mathematical essays that introduce the reader to many elegant results and techniques from a wide range of mathematical disciplines such as combinatorics, graph theory, knot theory, mechanics, differential equations, control theory, and robotics. "The Mathematics of Juggling" is the first comprehensive account summarizing and expanding the results in the literature on juggling tricks and skills, as well as the mathematics behind these tricks and skills. Anybody who is not put off by the word "mathematics" in the title of this book should have a good time reading it.

Magical Mathematics

Persi Diaconis,Ron Graham
Magical Mathematics Book PDF

Author : Persi Diaconis,Ron Graham
Publisher : Princeton University Press
Page : 258 pages
File Size : 43,5 Mb
Release : 2015-10-13
Category : Crafts & Hobbies
ISBN : 9780691169774

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Magical Mathematics by Persi Diaconis,Ron Graham Pdf

"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-

Math Goes to the Movies

Burkard Polster,Marty Ross
Math Goes to the Movies Book PDF

Author : Burkard Polster,Marty Ross
Publisher : JHU Press
Page : 384 pages
File Size : 45,6 Mb
Release : 2012-08-31
Category : Mathematics
ISBN : 9781421406084

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Math Goes to the Movies by Burkard Polster,Marty Ross Pdf

Mel Gibson teaching Euclidean geometry, Meg Ryan and Tim Robbins acting out Zeno's paradox, Michael Jackson proving in three different ways that 7 x 13 = 28. These are just a few of the intriguing mathematical snippets that occur in hundreds of movies. Burkard Polster and Marty Ross pored through the cinematic calculus to create this thorough and entertaining survey of the quirky, fun, and beautiful mathematics to be found on the big screen. Math Goes to the Movies is based on the authors' own collection of more than 700 mathematical movies and their many years using movie clips to inject moments of fun into their courses. With more than 200 illustrations, many of them screenshots from the movies themselves, this book provides an inviting way to explore math, featuring such movies as: • Good Will Hunting • A Beautiful Mind • Stand and Deliver • Pi • Die Hard • The Mirror Has Two Faces The authors use these iconic movies to introduce and explain important and famous mathematical ideas: higher dimensions, the golden ratio, infinity, and much more. Not all math in movies makes sense, however, and Polster and Ross talk about Hollywood's most absurd blunders and outrageous mathematical scenes. Interviews with mathematical consultants to movies round out this engaging journey into the realm of cinematic mathematics. This fascinating behind-the-scenes look at movie math shows how fun and illuminating equations can be.

Proofs from THE BOOK

Martin Aigner,Günter M. Ziegler
Proofs from THE BOOK Book PDF

Author : Martin Aigner,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 48,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662223437

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Proofs from THE BOOK by Martin Aigner,Günter M. Ziegler Pdf

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Connections in Discrete Mathematics

Steve Butler,Joshua Cooper,Glenn Hurlbert
Connections in Discrete Mathematics Book PDF

Author : Steve Butler,Joshua Cooper,Glenn Hurlbert
Publisher : Cambridge University Press
Page : 367 pages
File Size : 55,6 Mb
Release : 2018-06-14
Category : Mathematics
ISBN : 9781107153981

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Connections in Discrete Mathematics by Steve Butler,Joshua Cooper,Glenn Hurlbert Pdf

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.

Concepts of Modern Mathematics

Ian Stewart
Concepts of Modern Mathematics Book PDF

Author : Ian Stewart
Publisher : Courier Corporation
Page : 368 pages
File Size : 44,5 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486134956

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Concepts of Modern Mathematics by Ian Stewart Pdf

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

The Sociology of Mathematics Education

Paul Dowling
The Sociology of Mathematics Education Book PDF

Author : Paul Dowling
Publisher : Routledge
Page : 360 pages
File Size : 53,5 Mb
Release : 2002-11-01
Category : Education
ISBN : 9781135710026

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The Sociology of Mathematics Education by Paul Dowling Pdf

Until the 1960s, maths was studied as an academic subject in a desire to have more mathematicians. The current trend, however, has moved away from viewing maths as a purely intellectual endeavour and towards developing a more mathematically competent workforce and citizenry. This trend has seen a large increase in the number of maths schemes being produced by the major educational publishers, which attempt to make maths easier and more approachable by using language instead of symbols. So why do so many children still fail at maths? The author contends that to understand this, teachers need to analyze and evaluate the maths textbooks they are currently using. The author shows the reader how to systematically analyze and evaluate these textbooks. This interrogation of classroom resources, should have important implications for teaching strategies and for textbook design and use.

The Experimenter's A-Z of Mathematics

Steve Humble
The Experimenter s A Z of Mathematics Book PDF

Author : Steve Humble
Publisher : Routledge
Page : 146 pages
File Size : 47,7 Mb
Release : 2017-09-08
Category : Education
ISBN : 9781134139538

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The Experimenter's A-Z of Mathematics by Steve Humble Pdf

Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.

Embracing Mathematics

Peter Appelbaum,with David Scott Allen
Embracing Mathematics Book PDF

Author : Peter Appelbaum,with David Scott Allen
Publisher : Routledge
Page : 369 pages
File Size : 53,7 Mb
Release : 2008-06-30
Category : Education
ISBN : 9781135892241

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Embracing Mathematics by Peter Appelbaum,with David Scott Allen Pdf

This "alternative textbook" integrates pedagogy and content exploration in ways that are unique in mathematics education, provoking new ideas for making mathematics education meaningful to teachers at all levels as well as their students.

The Shoelace Book

Burkard Polster
The Shoelace Book Book PDF

Author : Burkard Polster
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 40,6 Mb
Release : 2006-05-23
Category : Mathematics
ISBN : 9780821839331

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The Shoelace Book by Burkard Polster Pdf

Crisscross, zigzag, bowtie, devil, angel, or star: which are the longest, the shortest, the strongest, and the weakest lacings? Pondering the mathematics of shoelaces, the author paints a vivid picture of the simple, beautiful, and surprising characterizations of the most common shoelace patterns. The mathematics involved is an attractive mix of combinatorics and elementary calculus. This book will be enjoyed by mathematically minded people for as long as there are shoes to lace.Burkard Polster is a well-known mathematical juggler, magician, origami expert, bubble-master, shoelace charmer, and "Count von Count" impersonator. His previous books include A Geometrical Picture Book, The Mathematics of Juggling, and QED: Beauty in Mathematical Proof.

The Man Who Loved Only Numbers

Paul Hoffman
The Man Who Loved Only Numbers Book PDF

Author : Paul Hoffman
Publisher : Hachette UK
Page : 192 pages
File Size : 52,9 Mb
Release : 2024-05-07
Category : Biography & Autobiography
ISBN : 9780306836565

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The Man Who Loved Only Numbers by Paul Hoffman Pdf

"A funny, marvelously readable portrait of one of the most brilliant and eccentric men in history." --The Seattle Times Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdos would show up on the doorstep of one mathematician or another and announce, "My brain is open." After working through a problem, he'd move on to the next place, the next solution. Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdos's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdos never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdos: "A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life." The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as "epsilons," from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, "Finally I am becoming stupider no more"; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdos over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdos is no doubt missed. --Therese Littleton

Alex's Adventures in Numberland

Alex Bellos
Alex s Adventures in Numberland Book PDF

Author : Alex Bellos
Publisher : A&C Black
Page : 449 pages
File Size : 48,9 Mb
Release : 2010-04-05
Category : Mathematics
ISBN : 9781408811146

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Alex's Adventures in Numberland by Alex Bellos Pdf

A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.

Math Geek

Raphael Rosen
Math Geek Book PDF

Author : Raphael Rosen
Publisher : Simon and Schuster
Page : 256 pages
File Size : 48,9 Mb
Release : 2015-06-18
Category : Mathematics
ISBN : 9781440583810

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Math Geek by Raphael Rosen Pdf

The new "sine" of mathematical geekdom! Do you dream about long division in your sleep? Does the thought of solving abstruse equations bring a smile to your face? Do you love celebrating pi every March? Then, Math Geek was made for you! With this guide, you'll learn even more about the power of numbers as you explore their brilliant nature in ways you've never imagined. From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like: How are the waiting times for buses determined? Why is Romanesco Broccoli so mesmerizing? How do you divide a cake evenly? Should you run or walk to avoid rain showers? Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.

Visualizing Mathematics with 3D Printing

Henry Segerman
Visualizing Mathematics with 3D Printing Book PDF

Author : Henry Segerman
Publisher : JHU Press
Page : 201 pages
File Size : 54,5 Mb
Release : 2016-10-04
Category : Mathematics
ISBN : 9781421420363

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Visualizing Mathematics with 3D Printing by Henry Segerman Pdf

The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.

Jasper Juggles Jellyfish

Ben Long,David Cornish
Jasper Juggles Jellyfish Book PDF

Author : Ben Long,David Cornish
Publisher : Ford Street Publishing
Page : 32 pages
File Size : 49,8 Mb
Release : 2018-07
Category : Australian fiction
ISBN : 1925736032

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Jasper Juggles Jellyfish by Ben Long,David Cornish Pdf

An octopus called Jasper gives up on learning the basics at school to pursue something he thinks will be more fun. He soon finds that even fun things can be difficult to learn. But luckily, a smack of jolly jellyfish are there to help him every step of the way. How many jellyfish do you think Jasper will be able to juggle by the end? Count along! Maybe he will end up learning the basics without even knowing it. From the creators of Ready, Steady, Hatch! comes a wonderful rhyming story reminding us that we can learn anything if we approach it steadily, and with a bit of fun and determination.