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

Author: Matt Parker

Publisher: Farrar, Straus and Giroux

ISBN: 0374710376

Category: Mathematics

Page: 464

View: 6356

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.
Posted in Mathematics

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

Author: Matt Parker

Publisher: Farrar, Straus and Giroux

ISBN: 0374710376

Category: Mathematics

Page: 464

View: 8188

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.
Posted in Mathematics

The Outer Limits of Reason

What Science, Mathematics, and Logic Cannot Tell Us

Author: Noson S. Yanofsky

Publisher: MIT Press

ISBN: 0262316781

Category: Science

Page: 424

View: 687

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.
Posted in Science

The Mathematics of Love

Patterns, Proofs, and the Search for the Ultimate Equation

Author: Hannah Fry

Publisher: Simon and Schuster

ISBN: 1476784892

Category: Family & Relationships

Page: 128

View: 4856

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.
Posted in Family & Relationships

Why Beliefs Matter

Reflections on the Nature of Science

Author: E. Brian Davies

Publisher: Oxford University Press

ISBN: 0199586209

Category: Mathematics

Page: 250

View: 2096

`It is a brilliant work, beautifully written, and brimming with surprising information and stimulating philosophical speculations.' Notices of teh American Mathematical Society --
Posted in Mathematics

The Fourth Dimension: Toward a Geometry of Higher Reality

Author: Rudy Rucker

Publisher: Courier Corporation

ISBN: 0486798194

Category: Science

Page: 240

View: 6706

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.
Posted in Science

Loving and Hating Mathematics

Challenging the Myths of Mathematical Life

Author: Reuben Hersh,Vera John-Steiner

Publisher: Princeton University Press

ISBN: 9781400836116

Category: Mathematics

Page: 432

View: 8737

Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.
Posted in Mathematics

Math Geek

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

Author: Raphael Rosen

Publisher: Simon and Schuster

ISBN: 1440583811

Category: Mathematics

Page: 256

View: 5771

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.
Posted in Mathematics

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: 9356

"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.
Posted in Mathematics

Notes on the Death of Culture

Essays on Spectacle and Society

Author: Mario Vargas Llosa

Publisher: Farrar, Straus and Giroux

ISBN: 0374710317

Category: Social Science

Page: 240

View: 6362

A provocative essay collection that finds the Nobel laureate taking on the decline of intellectual life In the past, culture was a kind of vital consciousness that constantly rejuvenated and revivified everyday reality. Now it is largely a mechanism of distraction and entertainment. Notes on the Death of Culture is an examination and indictment of this transformation—penned by none other than Mario Vargas Llosa, who is not only one of our finest novelists but one of the keenest social critics at work today. Taking his cues from T. S. Eliot—whose essay "Notes Toward a Definition of Culture" is a touchstone precisely because the culture Eliot aimed to describe has since vanished—Vargas Llosa traces a decline whose ill effects have only just begun to be felt. He mourns, in particular, the figure of the intellectual: for most of the twentieth century, men and women of letters drove political, aesthetic, and moral conversations; today they have all but disappeared from public debate. But Vargas Llosa stubbornly refuses to fade into the background. He is not content to merely sign a petition; he will not bite his tongue. A necessary gadfly, the Nobel laureate Vargas Llosa, here vividly translated by John King, provides a tough but essential critique of our time and culture.
Posted in Social Science

Alex's Adventures in Numberland

Author: Alex Bellos

Publisher: A&C Black

ISBN: 1408809591

Category: Mathematics

Page: 448

View: 1772

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

The Pea and the Sun

A Mathematical Paradox

Author: Leonard M. Wapner

Publisher: A K Peters/CRC Press

ISBN: 9781568813271

Category: Mathematics

Page: 232

View: 5807

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.
Posted in Mathematics

Computers and Games for Mental Health and Well-Being

Author: Yasser Khazaal,Jérôme Favrod,Anna Sort,François Borgeat,Stéphane Bouchard

Publisher: Frontiers Media SA

ISBN: 2889454967

Category:

Page: N.A

View: 2116

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Mathematics and Art

A Cultural History

Author: Lynn Gamwell

Publisher: Princeton University Press

ISBN: 0691165289

Category: Art

Page: 576

View: 1455

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.
Posted in Art

Love and Math

The Heart of Hidden Reality

Author: Edward Frenkel

Publisher: Basic Books

ISBN: 0465069959

Category: Mathematics

Page: 288

View: 8399

What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Posted in Mathematics

The Honors Class

Hilbert's Problems and Their Solvers

Author: Ben Yandell

Publisher: CRC Press

ISBN: 1439864225

Category: Mathematics

Page: 506

View: 6800

This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century. Jokingly called a natural introduction to thesis writing with examples, this collection of problems has indeed become a guiding inspiration to many mathematicians, and those who succeeded in solving or advancing their solutions form an Honors Class among research mathematicians of this century. In a remarkable labor of love and with the support of many of the major players in the field, Ben Yandell has written a fascinating account of the achievements of this Honors Class, covering mathematical substance and biographical aspects.
Posted in Mathematics

Dr. Euler's Fabulous Formula

Cures Many Mathematical Ills

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 9781400838479

Category: Mathematics

Page: 416

View: 5667

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Posted in Mathematics

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: 3685

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.
Posted in Crafts & Hobbies

Humble Pi

A Comedy of Maths Errors

Author: Matt Parker

Publisher: Allen Lane

ISBN: 9780241360231

Category:

Page: 256

View: 1707

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.
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Beyond Infinity

An expedition to the outer limits of the mathematical universe

Author: Eugenia Cheng

Publisher: Profile Books

ISBN: 1782830812

Category: Mathematics

Page: 204

View: 8242

SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Posted in Mathematics