Download or read book The Math Instinct written by Keith Devlin and published by Basic Books. This book was released on 2009-04-29 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh corgis -- and us -- is innate. What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math"? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy" -- The Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.
Download or read book Math Instinct written by Keith J. Devlin and published by Turtleback Books. This book was released on 2006-05-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: National Public Radio's "Math Guy" explains why humans possess a remarkable capacity for "natural" math while offering words of confidence for the multitudes who are afraid of math.
Download or read book The Unfinished Game written by Keith Devlin and published by . This book was released on 2010-03-23 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of sunshine was thought to lie in the realm of pure, unknowable chance. The issue remained intractable until Blaise Pascal wrote to Pierre de Fermat in 1654, outlining a solution to the "unfinished game" problem: how do you divide the pot when players are forced to.
Download or read book A Brain for Numbers written by Andreas Nieder and published by MIT Press. This book was released on 2019-11-19 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: How our intuitive understanding of numbers is deeply rooted in our biology, traceable through both evolution and development. Humans' understanding of numbers is intuitive. Infants are able to estimate and calculate even before they learn the words for numbers. How have we come to possess this talent for numbers? In A Brain for Numbers, Andreas Nieder explains how our brains process numbers. He reports that numerical competency is deeply rooted in our biological ancestry; it can be traced through both the evolution of our species and the development of our individual minds. It is not, as it has been traditionally explained, based on our ability to use language. We owe our symbolic mathematical skills to the nonsymbolic numerical abilities that we inherited from our ancestors. The principles of mathematics, Nieder tells us, are reflections of the innate dispositions wired into the brain. Nieder explores how the workings of the brain give rise to numerical competence, tracing flair for numbers to dedicated “number neurons” in the brain. Drawing on a range of methods including brain imaging techniques, behavioral experiments, and twin studies, he outlines a new, integrated understanding of the talent for numbers. Along the way, he compares the numerical capabilities of humans and animals, and discusses the benefits animals reap from such a capability. He shows how the neurobiological roots of the brain's nonverbal quantification capacity are the evolutionary foundation of more elaborate numerical skills. He discusses how number signs and symbols are represented in the brain; calculation capability and the “neuromythology” of mathematical genius; the “start-up tools” for counting and developmental of dyscalculia (a number disorder analogous to the reading disorder dyslexia); and how the brain processes the abstract concept of zero.
Download or read book The Math Gene written by Keith Devlin and published by Basic Books. This book was released on 2001-05-17 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why is math so hard? And why, despite this difficulty, are some people so good at it? If there's some inborn capacity for mathematical thinking—which there must be, otherwise no one could do it —why can't we all do it well? Keith Devlin has answers to all these difficult questions, and in giving them shows us how mathematical ability evolved, why it's a part of language ability, and how we can make better use of this innate talent.He also offers a breathtakingly new theory of language development—that language evolved in two stages, and its main purpose was not communication—to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the emergence of true language. Why, then, can't we do math as well as we can speak? The answer, says Devlin, is that we can and do—we just don't recognize when we're using mathematical reasoning.
Download or read book What Is Mathematics Really written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Download or read book Mathematickles written by Betsy Franco and published by Simon and Schuster. This book was released on 2006-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of poems written in the form of mathematical problems and grouped according to seasonal themes.
Download or read book Mathematics the Loss of Certainty written by Morris Kline and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foolproof and Other Mathematical Meditations written by Brian Hayes and published by MIT Press. This book was released on 2018-10-30 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A non-mathematician explores mathematical terrain, reporting accessibly and engagingly on topics from Sudoku to probability. Brian Hayes wants to convince us that mathematics is too important and too much fun to be left to the mathematicians. Foolproof, and Other Mathematical Meditations is his entertaining and accessible exploration of mathematical terrain both far-flung and nearby, bringing readers tidings of mathematical topics from Markov chains to Sudoku. Hayes, a non-mathematician, argues that mathematics is not only an essential tool for understanding the world but also a world unto itself, filled with objects and patterns that transcend earthly reality. In a series of essays, Hayes sets off to explore this exotic terrain, and takes the reader with him. Math has a bad reputation: dull, difficult, detached from daily life. As a talking Barbie doll opined, “Math class is tough.” But Hayes makes math seem fun. Whether he's tracing the genealogy of a well-worn anecdote about a famous mathematical prodigy, or speculating about what would happen to a lost ball in the nth dimension, or explaining that there are such things as quasirandom numbers, Hayes wants readers to share his enthusiasm. That's why he imagines a cinematic treatment of the discovery of the Riemann zeta function (“The year: 1972. The scene: Afternoon tea in Fuld Hall at the Institute for Advanced Study in Princeton, New Jersey”), explains that there is math in Sudoku after all, and describes better-than-average averages. Even when some of these essays involve a hike up the learning curve, the view from the top is worth it.
Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Download or read book The Music Instinct written by Philip Ball and published by Oxford University Press. This book was released on 2010-09-02 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Bach fugues to Indonesian gamelan, from nursery rhymes to rock, music has cast its light into every corner of human culture. But why music excites such deep passions, and how we make sense of musical sound at all, are questions that have until recently remained unanswered. Now in The Music Instinct, award-winning writer Philip Ball provides the first comprehensive, accessible survey of what is known--and still unknown--about how music works its magic, and why, as much as eating and sleeping, it seems indispensable to humanity. Deftly weaving together the latest findings in brain science with history, mathematics, and philosophy, The Music Instinct not only deepens our appreciation of the music we love, but shows that we would not be ourselves without it. The Sunday Times hailed it as "a wonderful account of why music matters," with Ball's "passion for music evident on every page."
Download or read book Life By the Numbers written by Keith Devlin and published by Turner Publishing Company. This book was released on 1999-03-17 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do leopards grow spots when tigers grow stripes? Is the universe round, square, or some other shape? How do the dimples in a golf ball give it greater lift? Is there such a thing as a public mood? If so, how can we accurately take its pulse? Only one tool of the human mind has the power and versatility to answer so many questions about our world—mathematics. Far from a musty set of equations and proofs, mathematics is a vital and creative way of thinking and seeing. It is the most powerful means we have of exploring our world and how it works, from the darkest depths of the oceans to the faintest glimmers of far-away galaxies, and from the aerodynamics of figure-skating jumps to the shadows of the fourth dimension. In this captivating companion to the landmark PBS series Life by the Numbers, acclaimed author Keith Devlin reveals the astonishing range of creative and powerful ways in which scientists, artists, athletes, medical researchers, and many others are using mathematics to explore our world and to enhance our lives. On this exhilarating tour you will explore deep-sea volcanoes with oceanographer Dawn Wright, go behind the scenes of blockbuster movies with special-effects designer Doug Trumbull, and probe the strange lives of viruses with microbiologist Sylvia Spengler. Listen to astronomer Robert Kirshner describe how he is charting the curve of space; discover how biologist Mike Labarbara visualizes the way a Tyrannosaurus rex carried its massive frame; and, along with brain researcher Brad Hatfield, peer into the mind of an Olympic markswoman at the moment she takes a shot. Glimpse a future of wearable computers and silicon "butlers" with computer scientist Pattie Maes, and watch a lilac come to life on screen with "computer botanist" Przemyslaw Prusinkiewicz. Lavishly illustrated and beautifully written, Life by the Numbers brings mathematical exploration and invention to life through the stories of some of the most creative practitioners of the art. It imparts an appreciation of the ingenuity and the sheer fun of seeing our world through mathematical eyes.
Download or read book Strange Attractors written by Sarah Glaz and published by CRC Press. This book was released on 2008-10-27 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strange Attractors is a collection of approximately 150 poems with strong links to mathematics in content, form, or imagery. The common theme is love, and the editors draw from its various manifestations-romantic love, spiritual love, humorous love, love between parents and children, mathematicians in love, love of mathematics. The poets include li
Download or read book Contemporary Art and the Mathematical Instinct written by and published by . This book was released on 2004 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Excursions to the World s Great Buildings written by Alexander J. Hahn and published by Princeton University Press. This book was released on 2012-07-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: How mathematics helped build the world's most important buildings from early Egypt to the present From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure. Whether using trigonometry and vectors to explain why Gothic arches are structurally superior to Roman arches, or showing how simple ruler and compass constructions can produce sophisticated architectural details, Alexander Hahn describes the points at which elementary mathematics and architecture intersect. Beginning in prehistoric times, Hahn proceeds to guide readers through the Greek, Roman, Islamic, Romanesque, Gothic, Renaissance, and modern styles. He explores the unique features of the Pantheon, the Hagia Sophia, the Great Mosque of Cordoba, the Duomo in Florence, Palladio's villas, and Saint Peter's Basilica, as well as the U.S. Capitol Building. Hahn celebrates the forms and structures of architecture made possible by mathematical achievements from Greek geometry, the Hindu-Arabic number system, two- and three-dimensional coordinate geometry, and calculus. Along the way, Hahn introduces groundbreaking architects, including Brunelleschi, Alberti, da Vinci, Bramante, Michelangelo, della Porta, Wren, Gaudí, Saarinen, Utzon, and Gehry. Rich in detail, this book takes readers on an expedition around the globe, providing a deeper understanding of the mathematical forces at play in the world's most elegant buildings.
Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.
Download or read book A Doubter s Almanac written by Ethan Canin and published by Random House. This book was released on 2016-02-16 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BESTSELLER • In this mesmerizing novel, Ethan Canin, the author of America America and The Palace Thief, explores the nature of genius, rivalry, ambition, and love among multiple generations of a gifted family. Milo Andret is born with an unusual mind. A lonely child growing up in the woods of northern Michigan in the 1950s, he gives little thought to his own talent. But with his acceptance at U.C. Berkeley he realizes the extent, and the risks, of his singular gifts. California in the seventies is a seduction, opening Milo’s eyes to the allure of both ambition and indulgence. The research he begins there will make him a legend; the woman he meets there—and the rival he meets alongside her—will haunt him for the rest of his life. For Milo’s brilliance is entwined with a dark need that soon grows to threaten his work, his family, even his existence. Spanning seven decades as it moves from California to Princeton to the Midwest to New York, A Doubter’s Almanac tells the story of a family as it explores the way ambition lives alongside destructiveness, obsession alongside torment, love alongside grief. It is a story of how the flame of genius both lights and scorches every generation it touches. Graced by stunning prose and brilliant storytelling, A Doubter’s Almanac is a surprising, suspenseful, and deeply moving novel, a major work by a writer who has been hailed as “the most mature and accomplished novelist of his generation.” Praise for A Doubter’s Almanac “551 pages of bliss . . . devastating and wonderful . . . dazzling . . . You come away from the book wanting to reevaluate your choices and your relationships. It’s a rare book that can do that, and it’s a rare joy to discover such a book.”—Esquire “[Canin] is at the top of his form, fluent, immersive, confident. You might not know where he’s taking you, but the characters are so vivid, Hans’s voice rendered so precisely, that it’s impossible not to trust in the story. . . . The delicate networks of emotion and connection that make up a family are illuminated, as if by magic, via his prose.”—Slate “Alternately explosive and deeply interior.”—New York (“Eight Books You Need to Read”) “A blazingly intelligent novel.”—Los Angeles Times “[A] beautifully written novel.”—The New York Times Book Review (Editors’ Choice)
