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Things To Make And Do In The Fourth Dimension

Author: Matt Parker
Publisher: Farrar, Straus and Giroux
ISBN: 0374710376
Size: 66.45 MB
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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

Author: Matt Parker
Publisher: Particular Books
ISBN: 9781846148590
Size: 46.70 MB
Format: PDF, ePub, Mobi
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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

Author: Matthew Parker
Publisher: Doubleday Canada
ISBN: 0385680597
Size: 44.41 MB
Format: PDF, Kindle
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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 Outer Limits Of Reason

Author: Noson S. Yanofsky
Publisher: MIT Press
ISBN: 0262316781
Size: 76.90 MB
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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.

The Mathematics Of Love

Author: Hannah Fry
Publisher: Simon and Schuster
ISBN: 1476784892
Size: 20.85 MB
Format: PDF, ePub, Mobi
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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.

Why Beliefs Matter

Author: E. Brian Davies
Publisher: Oxford University Press
ISBN: 0199586209
Size: 53.26 MB
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`It is a brilliant work, beautifully written, and brimming with surprising information and stimulating philosophical speculations.' Notices of teh American Mathematical Society --

The Pea And The Sun

Author: Leonard M. Wapner
Publisher: A K Peters/CRC Press
ISBN: 9781568813271
Size: 43.14 MB
Format: PDF, Kindle
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Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

Comedy Tragedy And Religion

Author: John Morreall
Publisher: SUNY Press
ISBN: 9780791442067
Size: 38.67 MB
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Explains the worldviews of comedy & tragedy, & analyzes world religions, finding some to be more comic, other more tragic.

My Best Mathematical And Logic Puzzles

Author: Martin Gardner
Publisher: Courier Corporation
ISBN: 0486281523
Size: 42.44 MB
Format: PDF, ePub, Docs
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The noted expert and longtime author of Scientific American's Mathematical Games column selects 70 of his favorite "short" puzzles. Enthusiasts can challenge their skills with such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, Bronx vs. Brooklyn, and dozens more involving logic and basic math. Complete solutions included.

Mathematics And Art

Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Size: 34.17 MB
Format: PDF, ePub
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This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked “What is art?” in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.