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The Math Instinct

The Math Instinct PDF Author: Keith Devlin
Publisher: Basic Books
ISBN: 0786736186
Category : Science
Languages : en
Pages : 166

Book Description
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.

The Math Instinct

The Math Instinct PDF Author: Keith Devlin
Publisher: Basic Books
ISBN: 0786736186
Category : Science
Languages : en
Pages : 166

Book Description
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.

The Math Gene

The Math Gene PDF Author: Keith Devlin
Publisher: Basic Books
ISBN: 0786725087
Category : Science
Languages : en
Pages : 348

Book Description
If people are endowed with a "number instinct" similar to the "language instinct" -- as recent research suggests -- then why can't everyone do math? In The Math Gene, mathematician and popular writer Keith Devlin attacks both sides of this question. Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the very first emergence of true language. Why, then, can't we do math as well as we speak? The answer, says Devlin, is that we can and do -- we just don't recognize when we're using mathematical reasoning.

The Unfinished Game

The Unfinished Game PDF Author: Keith Devlin
Publisher:
ISBN: 0465018963
Category : Mathematics
Languages : en
Pages : 210

Book Description
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.

The Joy of X

The Joy of X PDF Author: Steven Henry Strogatz
Publisher: Houghton Mifflin Harcourt
ISBN: 0547517653
Category : Mathematics
Languages : en
Pages : 333

Book Description
A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being PDF Author: George Lakoff
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 520

Book Description
A study of the cognitive science of mathematical ideas.

Mathematics and Logic

Mathematics and Logic PDF Author: Mark Kac
Publisher: Courier Corporation
ISBN: 0486670856
Category : Philosophy
Languages : en
Pages : 189

Book Description
Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

Mathematickles!

Mathematickles! PDF Author: Betsy Franco
Publisher: Simon and Schuster
ISBN: 1416918612
Category : Juvenile Nonfiction
Languages : en
Pages : 226

Book Description
A collection of poems written in the form of mathematical problems and grouped according to seasonal themes.

Foolproof, and Other Mathematical Meditations

Foolproof, and Other Mathematical Meditations PDF Author: Brian Hayes
Publisher: MIT Press
ISBN: 026203686X
Category : Mathematics
Languages : en
Pages : 245

Book Description
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.

A Doubter's Almanac

A Doubter's Almanac PDF Author: Ethan Canin
Publisher: Random House
ISBN: 081299678X
Category : Fiction
Languages : en
Pages : 588

Book Description
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)

The Grail Bird

The Grail Bird PDF Author: Tim Gallagher
Publisher: HMH
ISBN: 1328859118
Category : Nature
Languages : en
Pages : 313

Book Description
“The Grail Bird is an enjoyable read . . . A powerful call for conservation, and an exciting bird adventure” (The Boston Globe). What is it about the ivory-billed woodpecker? Why does this ghost of the southern swamps arouse such an obsessive level of passion in its devotees, who range from respected researchers to the flakiest Loch Ness monster fanatics and Elvis chasers? Since the early twentieth century, scientists have been trying their best to prove that the ivory-bill is extinct. But every time they think they’ve finally closed the door, the bird makes an unexpected appearance. To unravel the mystery, author Tim Gallagher heads south, deep into the eerie swamps and bayous of the vast Mississippi Delta, searching for people who claim to have seen this rarest of birds and following up—sometimes more than thirty years after the fact—on their sightings. What follows is his own Eureka moment with his buddy Bobby Harrison, a true son of the South from Alabama. A huge woodpecker flies in front of their canoe, and they both cry out, “Ivory-bill!” This sighting—the first time since 1944 that two qualified observers positively identify an ivory-billed woodpecker in the United States—quickly leads to the largest search ever launched to find a rare bird, as researchers fan out across the bayou, hoping to document the existence of this most iconic of birds. “The Grail Bird is less an ecological study than a portrait of human obsession.” —The New York Times