Things to Make and Do in the Fourth Dimension

A Mathematician's Journey Through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More

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Author: Matt Parker

Publisher: Farrar, Straus and Giroux

ISBN: 0374710376

Category: Mathematics

Page: 464

View: 8882

A book from the stand-up mathematician that makes math fun again! Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do—through its logical tools we are able to reach beyond our innate abilities and grasp more and more abstract concepts. In the absorbing and exhilarating Things to Make and Do in the Fourth Dimension, Parker sets out to convince his readers to revisit the very math that put them off the subject as fourteen-year-olds. Starting with the foundations of math familiar from school (numbers, geometry, and algebra), he reveals how it is possible to climb all the way up to the topology and to four-dimensional shapes, and from there to infinity—and slightly beyond. Both playful and sophisticated, Things to Make and Do in the Fourth Dimension is filled with captivating games and puzzles, a buffet of optional hands-on activities that entices us to take pleasure in math that is normally only available to those studying at a university level. Things to Make and Do in the Fourth Dimension invites us to re-learn much of what we missed in school and, this time, to be utterly enthralled by it.

Things to Make and Do in the Fourth Dimension

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Author: Matt Parker

Publisher: Particular Books

ISBN: 9781846148590

Category: Mathematics

Page: 463

View: 1964

Cut pizzas in new and fairer ways! Fit a 2p coin through an impossibly small hole! Make a perfect regular pentagon by knotting a piece of paper! Tie your shoes faster than ever before, saving literally seconds of your life! Use those extra seconds to contemplate the diminishing returns of an exclamation-point at the end of every bullet-point! Make a working computer out of dominoes! Maths is a game. This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

Things to Make and Do in the Fourth Dimension

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Author: Matthew Parker

Publisher: Doubleday Canada

ISBN: 0385680597

Category: Science

Page: 400

View: 367

Mathematics made mouth-watering. Things to Make and Do in the Fourth Dimension is an alternative math class. How can math help you choose a second-hand car? Why is a text message like a Sudoku? How much fun can you have with a barcode? Matt Parker explains that math is difficult because it's one of the few subjects that requires us to train our brains to think in an entirely new way, and to confront things with no direct analogy in everyday life--imaginary numbers, snowflakes that only exist in 196884 dimensions, and objects beyond infinity--and shows us why it's worth the effort. Starting with basic arithmetic and geometry, Things To Make and Do teaches us the math we never got to enjoy at school. Each chapter is structured around activities and thought experiments: we are invited to make a calculator out of dominoes, find out why wrapping oranges in plastic wrap is a good way to learn about higher dimensions, and discover what soap bubbles have to teach us about calculus. A series of incremental and hugely entertaining steps take us all the way from simple algebra to the most exotic and fascinating ideas in mathematics: Klein bottles, higher dimensional topology and the many different species of infinity, via unimaginably small pizza slices, Mobius strips and a thorough examination of The Sausage Conjecture. This lively, funny, and deeply intelligent book teaches math in a fun, interactive manner rather than by rote learning and exercises. You'll not look at the number 37 the same way again. And you just might take part in Mobius strip craftwork.

The Fourth Dimension: Toward a Geometry of Higher Reality

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Author: Rudy Rucker

Publisher: Courier Corporation

ISBN: 0486798194

Category: Science

Page: 240

View: 5427

One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the fourth dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.

Geometry, Relativity and the Fourth Dimension

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Author: Rudolf Rucker

Publisher: Courier Corporation

ISBN: 0486140334

Category: Science

Page: 160

View: 9142

Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.

A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)

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Author: Chris McMullen,Chris McMullen Ph D

Publisher: N.A

ISBN: 9780615750040

Category:

Page: 92

View: 2801

This colorful, visual introduction to the fourth dimension provides a clear explanation of the concepts and numerous illustrations. It is written with a touch of personality that makes this an engaging read instead of a dry math text. The content is very accessible, yet at the same time detailed enough to satisfy the interests of advanced readers. This book is devoted to geometry; there are no spiritual or religious components to this book. May you enjoy your journey into the fascinating world of the fourth dimension! Contents: Introduction Chapter 0: What Is a Dimension? Chapter 1: Dimensions Zero and One Chapter 2: The Second Dimension Chapter 3: Three-Dimensional Space Chapter 4: A Fourth Dimension of Space Chapter 5: Tesseracts and Hypercubes Chapter 6: Hypercube Patterns Chapter 7: Planes and Hyperplanes Chapter 8: Tesseracts in Perspective Chapter 9: Rotations in 4D Space Chapter 10: Unfolding a Tesseract Chapter 11: Cross Sections of a Tesseract Chapter 12: Living in a 4D House Further Reading Glossary About the Author Put on your spacesuit, strap on your safety harness, swallow your anti-nausea medicine, and enjoy this journey into a fourth dimension of space! 10D, 9D, 8D, 7D, 6D, 5D, 4D, 3D, 2D, 1D, 0D. Blast off!

The Four-Dimensional Human: Ways of Being in the Digital World

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Author: Laurence Scott

Publisher: W. W. Norton & Company

ISBN: 0393353087

Category: Technology & Engineering

Page: 272

View: 3172

You are a four-dimensional human. Each of us exists in three-dimensional, physical space. But, as a constellation of everyday digital phenomena rewires our lives, we are increasingly coaxed from the containment of our predigital selves into a wonderful and eerie fourth dimension, a world of ceaseless communication, instant information, and global connection. Our portals to this new world have been wedged open, and the silhouette of a figure is slowly taking shape. But what does it feel like to be four-dimensional? How do digital technologies influence the rhythms of our thoughts, the style and tilt of our consciousness? What new sensitivities and sensibilities are emerging with our exposure to the delights, sorrows, and anxieties of a networked world? And how do we live in public with these recoded private lives? Laurence Scott—hailed as a “New Generation Thinker” by the Arts and Humanities Research Council and the BBC—shows how this four-dimensional life is dramatically changing us by redefining our social lives and extending the limits of our presence in the world. Blending tech-philosophy with insights on everything from Seinfeld to the fall of Gaddafi, Scott stands with a rising generation of social critics hoping to understand our new reality. His virtuosic debut is a revelatory and original exploration of life in the digital age.

A Wrinkle in Time

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Author: Madeleine L'Engle

Publisher: Farrar, Straus and Giroux (BYR)

ISBN: 9781429915649

Category: Juvenile Fiction

Page: 216

View: 1895

Madeleine L'Engle's ground-breaking science fiction and fantasy classic, soon to be a major motion picture. It was a dark and stormy night; Meg Murry, her small brother Charles Wallace, and her mother had come down to the kitchen for a midnight snack when they were upset by the arrival of a most disturbing stranger. "Wild nights are my glory," the unearthly stranger told them. "I just got caught in a downdraft and blown off course. Let me sit down for a moment, and then I'll be on my way. Speaking of ways, by the way, there is such a thing as a tesseract." A tesseract (in case the reader doesn't know) is a wrinkle in time. To tell more would rob the reader of the enjoyment of Miss L'Engle's unusual book. A Wrinkle in Time, winner of the Newbery Medal in 1963, is the story of the adventures in space and time of Meg, Charles Wallace, and Calvin O'Keefe (athlete, student, and one of the most popular boys in high school). They are in search of Meg's father, a scientist who disappeared while engaged in secret work for the government on the tesseract problem. A Wrinkle in Time is the winner of the 1963 Newbery Medal. It is the first book in The Time Quintet, which consists of A Wrinkle in Time, A Wind in the Door, A Swiftly Tilting Planet, Many Waters, and An Acceptable Time. A Wrinkle in Time is soon to be a movie from Disney, directed by Ava DuVernay, starring Storm Reid, Oprah Winfrey, Reese Witherspoon and Mindy Kaling. This title has Common Core connections. Books by Madeleine L'Engle A Wrinkle in Time Quintet A Wrinkle in Time A Wind in the Door A Swiftly Tilting Planet Many Waters An Acceptable Time A Wrinkle in Time: The Graphic Novel by Madeleine L'Engle; adapted & illustrated by Hope Larson Intergalactic P.S. 3 by Madeleine L'Engle; illustrated by Hope Larson: A standalone story set in the world of A Wrinkle in Time. The Austin Family Chronicles Meet the Austins (Volume 1) The Moon by Night (Volume 2) The Young Unicorns (Volume 3) A Ring of Endless Light (Volume 4) A Newbery Honor book! Troubling a Star (Volume 5) The Polly O'Keefe books The Arm of the Starfish Dragons in the Waters A House Like a Lotus And Both Were Young Camilla The Joys of Love

Through the Shadowlands

A Science Writer's Odyssey into an Illness Science Doesn't Understand

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Author: Julie Rehmeyer

Publisher: Rodale Books

ISBN: 1623367662

Category: Health & Fitness

Page: 336

View: 1057

Julie Rehmeyer felt like she was going to the desert to die. Julie fully expected to be breathing at the end of the trip—but driving into Death Valley felt like giving up, surrendering. She’d spent years battling a mysterious illness so extreme that she often couldn’t turn over in her bed. The top specialists in the world were powerless to help, and research on her disease, chronic fatigue syndrome, was at a near standstill. Having exhausted the plausible ideas, Julie turned to an implausible one. Going against both her instincts and her training as a science journalist and mathematician, she followed the advice of strangers she’d met on the Internet. Their theory—that mold in her home and possessions was making her sick—struck her as wacky pseudoscience. But they had recovered from chronic fatigue syndrome as severe as hers. To test the theory that toxic mold was making her sick, Julie drove into the desert alone, leaving behind everything she owned. She wasn’t even certain she was well enough to take care of herself once she was there. She felt stripped not only of the life she’d known, but any future she could imagine. With only her scientific savvy, investigative journalism skills, and dog, Frances, to rely on, Julie carved out her own path to wellness—and uncovered how shocking scientific neglect and misconduct had forced her and millions of others to go it alone. In stunning prose, she describes how her illness transformed her understanding of science, medicine, and spirituality. Through the Shadowlands brings scientific authority to a misunderstood disease and spins an incredible and compelling story of tenacity, resourcefulness, acceptance, and love.

Humble Pi

A Comedy of Maths Errors

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Author: Matt Parker

Publisher: Allen Lane

ISBN: 9780241360231

Category:

Page: 256

View: 5541

We would all be better off if everyone saw mathematics as a practical ally. Sadly, most of us fear maths and seek to avoid it. This is because mathematics doesn't have good 'people skills' - it never hesitates to bluntly point out when we are wrong. But it is only trying to help! Mathematics is a friend which can fill the gaps in what our brains can do naturally. Luckily, even though we don't like sharing our own mistakes, we love to read about what happens when maths errors make the everyday go horribly wrong. Matt Parker explores and explains near misses and mishaps with planes, bridges, the internet and big data as a way of showing us not only how important maths is, but how we can use it to our advantage. This comedy of errors is a brilliantly told series of disaster stories with a happy ending.

My Best Mathematical and Logic Puzzles

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Author: Martin Gardner

Publisher: Courier Corporation

ISBN: 0486320324

Category: Games & Activities

Page: 96

View: 4791

The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions.

Math Geek

From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations

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Author: Raphael Rosen

Publisher: Simon and Schuster

ISBN: 1440583811

Category: Mathematics

Page: 256

View: 7128

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.

Flatland

A Romance of Many Dimensions

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Author: Edwin Abbott Abbott

Publisher: N.A

ISBN: N.A

Category: FICTION

Page: 102

View: 5813

Considered both a satire and a science fiction novella, Abbott's Flatland experiments with the idea of various dimensions in time and space.

The Outer Limits of Reason

What Science, Mathematics, and Logic Cannot Tell Us

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Author: Noson S. Yanofsky

Publisher: MIT Press

ISBN: 0262316781

Category: Science

Page: 424

View: 9986

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Spaceland

A Novel of the Fourth Dimension

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Author: Rudy Rucker

Publisher: Tor Books

ISBN: 9781429980074

Category: Fiction

Page: 304

View: 8361

Joe Cube is a Silicon Valley hotshot--well, a would-be hotshot anyway--hoping that the 3-D TV project he's managing will lead to the big money IPO he's always dreamed of. On New Year's Eve, hoping to impress his wife, he sneaks home the prototype. It brings no new warmth to their cooling relationship, but it does attract someone else's attention. When Joe sees a set of lips talking to him (floating in midair) and feels the poke of a disembodied finger (inside him), it's not because of the champagne he's drunk. He has just met Momo, a woman from the All, a world of four spatial dimensions for whom our narrow world, which she calls Spaceland, is something like a rug, but one filled with motion and life. Momo has a business proposition for Joe, an offer she won't let him refuse. The upside potential becomes much clearer to him once she helps him grow a new eye (on a stalk) that can see in the fourth-dimensional directions, and he agrees. After that it's a wild ride through a million-dollar night in Las Vegas, a budding addiction to tasty purple 4-D food, a failing marriage, eye-popping excursions into the All, and encounters with Momo's foes, rubbery red critters who steal money, offer sage advice and sometimes messily explode. Joe is having the time of his life, until Momo's scheme turns out to have angles he couldn't have imagined. Suddenly the fate of all life here in Spaceland is at stake. Rudy Rucker is a past master at turning mathematical concepts into rollicking science fiction adventure, from Spacetime Donuts and White Light to The Hacker and the Ants. In the tradition of Edwin A. Abbott's classic novel, Flatland, Rucker gives us a tour of higher mathematics and visionary realities. Spaceland is Flatland on hyperdrive! At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

How Not to be Wrong

The Power of Mathematical Thinking

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Author: Jordan Ellenberg

Publisher: Penguin

ISBN: 0143127535

Category: Business & Economics

Page: 480

View: 2794

"Using the mathematician's method of analyzing life and exposing the hard-won insights of the academic community to the layman, minus the jargon ... Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need"--

The Joy of X

A Guided Tour of Math, from One to Infinity

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Author: Steven Henry Strogatz

Publisher: Houghton Mifflin Harcourt

ISBN: 0547517653

Category: MATHEMATICS

Page: 316

View: 9275

A comprehensive tour of leading mathematical ideas by an award-winning professor and columnist for the New York Times Opinionator series demonstrates how math intersects with philosophy, science and other aspects of everyday life. By the author of The Calculus of Friendship. 50,000 first printing.

The Mathematics of Love

Patterns, Proofs, and the Search for the Ultimate Equation

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Author: Hannah Fry

Publisher: Simon and Schuster

ISBN: 1476784892

Category: Family & Relationships

Page: 128

View: 5158

In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love.

How to Bake Pi

An Edible Exploration of the Mathematics of Mathematics

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Author: Eugenia Cheng

Publisher: Basic Books

ISBN: 0465051693

Category: Mathematics

Page: 304

View: 6864

"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.

Fourth Dimension

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Author: Eric Walters

Publisher: Penguin

ISBN: 0143198467

Category: Young Adult Fiction

Page: 384

View: 8470

In a world with no power, chaos soon descends. A powerful look at the disintegration of society in the wake of a massive and mysterious outage that has knocked out all modern amenities. Fifteen-year-old Emma has moved house with her ex-Marine mother and younger brother. It's a brand-new condo building, which explains the semi-regular power outages, as workers complete the units around them. So Emma isn't particularly concerned when the latest blackout hits just as they are preparing to leave town on a long weekend camping trip. But then the car won't start, and their cellphones appear dead -- and all the cars outside their building seem to be stalled in a long traffic jam . . . In the midst of what appears to be a massive power outage, with their camping gear packed and ready, Emma and her family canoe over to the islands, just offshore, to wait it out. But while they land on an isolated island, with a relatively hidden site, they are far from safe, as people become increasingly desperate to find food and shelter. And as the days pass, and the power remains out, the threat of violence becomes all too real.