The Mathematics of Juggling


Author: Burkard Polster
Publisher: Springer Science & Business Media
ISBN: 0387227482
Category: Mathematics
Page: 226
View: 3624

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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.

The Mathematics of Juggling


Author: Burkard Polster
Publisher: Springer Science & Business Media
ISBN: 0387955135
Category: Mathematics
Page: 226
View: 8320

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The author captures a treasure trove of mathematics used to model the different activities in a juggler's repertoire. He provides a stimulating collection of mostly self-contained mathematical essays about a wide range of disciplines like combinatorics, graph theory, knot theory, mechanics, differential equations, control theory, and robotics. 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

The Mathematical Ideas that Animate Great Magic Tricks
Author: Persi Diaconis,Ron Graham,Ronald L. Graham
Publisher: Princeton University Press
ISBN: 0691151644
Category: Crafts & Hobbies
Page: 244
View: 9142

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Magical Mathematics reveals the secrets of 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. Diaconis and Graham tell the stories—and reveal the best tricks—of the eccentric and brilliant inventors of mathematical magic. The book 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 oldest mathematical trick—and much more.

Q.E.D.

Beauty in Mathematical Proof
Author: Burkard Polster
Publisher: Bloomsbury Publishing USA
ISBN: 0802714315
Category: Mathematics
Page: 58
View: 2536

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Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

Math Goes to the Movies


Author: Burkard Polster,Marty Ross
Publisher: JHU Press
ISBN: 1421404842
Category: Mathematics
Page: 286
View: 6922

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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.

Concepts of Modern Mathematics


Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category: Mathematics
Page: 368
View: 3945

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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.

Connections in Discrete Mathematics

A Celebration of the Work of Ron Graham
Author: Steve Butler,Joshua Cooper,Glenn Hurlbert
Publisher: Cambridge University Press
ISBN: 1107153980
Category: Mathematics
Page: 432
View: 6753

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

When Balls Collide: Understanding the Skill of Juggling


Author: Jack Kalvan,Arthur Lewbel
Publisher: Lulu.com
ISBN: 1387916890
Category: Crafts & Hobbies
Page: 178
View: 1375

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A scientific look at the skill of juggling. In this book, we look at all the things that limit jugglers and make the skill so challenging. We discover how to optimize our juggling and we look at the human limits.

The Shoelace Book

A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes
Author: Burkard Polster
Publisher: American Mathematical Soc.
ISBN: 0821839330
Category: Mathematics
Page: 125
View: 6506

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This book offers a fascinating and entertaining look at the mathematics behind the many patterns by which shoes are laced. Burkhard Polster, who lists mathematical juggling, magic and origami among his talents, uses formulas and detailed illustrations to answer questions such as the shortest and strongest lacings in several categories. An accessible mix of combinatorics and elementary calculus yields the author's conclusions.

A Geometrical Picture Book


Author: Burkard Polster
Publisher: Springer Science & Business Media
ISBN: 1441985263
Category: Mathematics
Page: 292
View: 655

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How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry and combinatorial designs, you could start by showing them some of the (400+) pictures in the "picture book". Pictures are what this book is all about; original pictures of everybody's favorite geometries such as configurations, projective planes and spaces, circle planes, generalized polygons, mathematical biplanes and other designs which capture much of the beauty, construction principles, particularities, substructures and interconnections of these geometries. The level of the text is suitable for advanced undergraduates and graduate students. Even if you are a mathematician who just wants some interesting reading you will enjoy the author's very original and comprehensive guided tour of small finite geometries and geometries on surfaces This guided tour includes lots of sterograms of the spatial models, games and puzzles and instructions on how to construct your own pictures and build some of the spatial models yourself.

Masters of Theory

Cambridge and the Rise of Mathematical Physics
Author: Andrew Warwick
Publisher: University of Chicago Press
ISBN: 9780226873756
Category: Science
Page: 572
View: 589

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Winner of the the Susan Elizabeth Abrams Prize in History of Science. When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible in the nineteenth and early twentieth centuries when Britain produced many leading mathematical physicists. In this book, Andrew Warwick shows how the education of these "masters of theory" led them to transform our understanding of everything from the flight of a boomerang to the structure of the universe. Warwick focuses on Cambridge University, where many of the best physicists trained. He begins by tracing the dramatic changes in undergraduate education there since the eighteenth century, especially the gradual emergence of the private tutor as the most important teacher of mathematics. Next he explores the material culture of mathematics instruction, showing how the humble pen and paper so crucial to this study transformed everything from classroom teaching to final examinations. Balancing their intense intellectual work with strenuous physical exercise, the students themselves—known as the "Wranglers"—helped foster the competitive spirit that drove them in the classroom and informed the Victorian ideal of a manly student. Finally, by investigating several historical "cases," such as the reception of Albert Einstein's special and general theories of relativity, Warwick shows how the production, transmission, and reception of new knowledge was profoundly shaped by the skills taught to Cambridge undergraduates. Drawing on a wealth of new archival evidence and illustrations, Masters of Theory examines the origins of a cultural tradition within which the complex world of theoretical physics was made commonplace.

A Dingo Ate My Math Book: Mathematics from Down Under


Author: Burkard Polster,Marty Ross
Publisher: American Mathematical Soc.
ISBN: 1470435217
Category: Mathematics
Page: 253
View: 1910

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A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics—whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.

A Mind at Play

How Claude Shannon Invented the Information Age
Author: Jimmy Soni,Rob Goodman
Publisher: Simon and Schuster
ISBN: 1476766703
Category: Biography & Autobiography
Page: 384
View: 6913

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Winner of the Neumann Prize for the History of Mathematics **Named a best book of the year by Bloomberg and Nature** **'Best of 2017' by The Morning Sun** "We owe Claude Shannon a lot, and Soni & Goodman’s book takes a big first step in paying that debt." —San Francisco Review of Books "Soni and Goodman are at their best when they invoke the wonder an idea can instill. They summon the right level of awe while stopping short of hyperbole." —Financial Times "Jimmy Soni and Rob Goodman make a convincing case for their subtitle while reminding us that Shannon never made this claim himself." —The Wall Street Journal "Soni and Goodman have done their research...A Mind at Play reveals the remarkable human behind some of the most important theoretical and practical contributions to the information age." —Nature "A Mind at Play shows us that you don't need to be a genius to learn from a genius. Claude Shannon's inventive, vibrant life demonstrates how vital the act of play can be to making the most of work." —Inc. “A charming account of one of the twentieth century’s most distinguished scientists…Readers will enjoy this portrait of a modern-day Da Vinci.” —Fortune In their second collaboration, biographers Jimmy Soni and Rob Goodman present the story of Claude Shannon—one of the foremost intellects of the twentieth century and the architect of the Information Age, whose insights stand behind every computer built, email sent, video streamed, and webpage loaded. Claude Shannon was a groundbreaking polymath, a brilliant tinkerer, and a digital pioneer. He constructed the first wearable computer, outfoxed Vegas casinos, and built juggling robots. He also wrote the seminal text of the digital revolution, which has been called “the Magna Carta of the Information Age.” In this elegantly written, exhaustively researched biography, Soni and Goodman reveal Claude Shannon’s full story for the first time. With unique access to Shannon’s family and friends, A Mind at Play brings this singular innovator and always playful genius to life.

Alex's Adventures in Numberland


Author: Alex Bellos
Publisher: A&C Black
ISBN: 1408809591
Category: Mathematics
Page: 448
View: 5430

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

How to Bake Pi

An Edible Exploration of the Mathematics of Mathematics
Author: Eugenia Cheng
Publisher: Basic Books
ISBN: 0465051693
Category: Mathematics
Page: 304
View: 4462

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"Whimsical...rigorous and insightful." -- New York Times Book Review What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen. We learn how the béchamel in a lasagna can be a lot like the number five, and why making a good custard proves that math is easy but life is hard. At the heart of it all is Cheng's work on category theory, a cutting-edge "mathematics of mathematics," that is about figuring out how math works. Combined with her infectious enthusiasm for cooking and true zest for life, Cheng's perspective on math is a funny journey through a vast territory no popular book on math has explored before. So, what is math? Let's look for the answer in the kitchen.

The Absolute Value of Mike


Author: Kathryn Erskine
Publisher: Penguin
ISBN: 1101516070
Category: Juvenile Fiction
Page: 272
View: 608

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Mike tries so hard to please his father, but the only language his dad seems to speak is calculus. And for a boy with a math learning disability, nothing could be more difficult. When his dad sends him to live with distant relatives in rural Pennsylvania for the summer to work on an engineering project, Mike figures this is his big chance to buckle down and prove himself. But when he gets there, nothing is what he thought it would be. The project has nothing at all to do with engineering, and he finds himself working alongside his wacky eighty-something- year-old aunt, a homeless man, and a punk rock girl as part of a town-wide project to adopt a boy from Romania. Mike may not learn anything about engineering, but what he does learn is far more valuable.

Math Curse


Author: Jon Scieszka,Lane Smith
Publisher: Viking Adult
ISBN: 9780670062997
Category: Juvenile Fiction
Page: 40
View: 6208

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When the teacher tells her class that they can think of almost everything as a math problem, one student acquires a math anxiety which becomes a real curse.

A Most Incomprehensible Thing

Notes Towards a Very Gentle Introduction to the Mathematics of Relativity
Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389469
Category: Science
Page: 274
View: 3911

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A clear and enjoyable guide to the mathematics of relativity To really understand relativity – one of the cornerstones of modern physics – you have to get to grips with the mathematics. This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. Understand even the basics of Einstein's amazing theory and the world will never seem the same again. March 2017. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

Mathematical Impressions


Author: A. T. Fomenko
Publisher: American Mathematical Soc.
ISBN: 9780821801628
Category: Mathematics
Page: 184
View: 7551

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Anatolii Fomenko is a Soviet mathematician with a talent for expressing abstract mathematical concepts through artwork. Some of his works echo those of M. C. Escher in their meticulous rendering of shapes and patterns, while other pieces seem to be more visceral expressions of mathematical ideas. Stimulating to the imagination and to the eye, his rich and evocative work can be interpreted and appreciated in various ways--mathematical, aesthetic, or emotional. This book contains 84 reproductions of works by Fomenko (23 of them in color). In the accompanying captions, Fomenko explains the mathematical motivation behind the illustrations as well as the emotional, historical, or mythical subtexts they evoke. The illustrations carry the viewer through a mathematical world consisting not of equations and dry logic, but of intuition and inspiration. Since the mid-1970s, Fomenko has created more than 280 illustrations. Not only have his images filled pages of his own numerous books on geometry, but they have also been chosen to illustrate books on other subjects, such as statistics, probability, and number theory. In addition, his works have found their way into the Soviet scientific and popular press and have been displayed in more than 100 exhibits in the Soviet Union, Holland, India, and much of Eastern Europe. Fomenko describes his images as ``deep reflections about the essence of being and about the place of modern man--in particular, the learned man--in the stormy and unpredictable world surrounding him.'' His illustrations are the product of a sensitive, aesthetically attuned mind diving deep below the surface of modern mathematics and emerging with great stories to tell.