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A Tour Of The Calculus

Autor: David Berlinski
Publisher: Vintage
ISBN: 9780307789730
File Size: 17,21 MB
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Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review From the Trade Paperback edition.

One Two Three

Autor: David Berlinski
Publisher: Vintage
ISBN: 9780307379856
File Size: 23,20 MB
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From the acclaimed author of A Tour of the Calculus and The Advent of the Algorithm, here is a riveting look at mathematics that reveals a hidden world in some of its most fundamental concepts. In his latest foray into mathematics, David Berlinski takes on the simplest questions that can be asked: What is a number? How do addition, subtraction, multiplication, and division actually work? What are geometry and logic? As he delves into these subjects, he discovers and lucidly describes the beauty and complexity behind their seemingly simple exteriors, making clear how and why these mercurial, often slippery concepts are essential to who we are. Filled with illuminating historical anecdotes and asides on some of the most fascinating mathematicians through the ages, One, Two, Three is a captivating exploration of the foundation of mathematics: how it originated, who thought of it, and why it matters.

Newton S Gift

Autor: David Berlinski
Publisher: Simon and Schuster
ISBN: 0684843927
File Size: 18,14 MB
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A portrait of the physicist's life assesses his remarkable accomplishments in the field of science, his rescue of the British mint and its currency, and his intellectual battles with his colleagues.

The Calculus Diaries

Autor: Jennifer Ouellette
Publisher: Penguin
ISBN: 9781101459034
File Size: 6,68 MB
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Kiss My Math meets A Tour of the Calculus Jennifer Ouellette never took math in college, mostly because she-like most people-assumed that she wouldn't need it in real life. But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.

Infinite Ascent

Autor: David Berlinski
Publisher: Modern Library
ISBN: 9780307778178
File Size: 17,82 MB
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In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors. From the Hardcover edition.

The Devil S Delusion

Autor: David Berlinski
Publisher: Hachette UK
ISBN: 0786751479
File Size: 15,92 MB
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Bestselling author David Berlinski's wise and witty assault on the pretensions of the scientific atheists Militant atheism is on the rise. In recent years Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens have produced a steady stream of best-selling books denigrating religious belief. These authors are merely the leading edge of a larger movement that includes much of the scientific community.In response, mathematician David Berlinski, himself a secular Jew, delivers a biting defense of religious thought. The Devil's Delusion is a brilliant, incisive, and funny book that explores the limits of science and the pretensions of those who insist it is the ultimate touchstone for understanding our world.

Euclid In The Rainforest

Autor: Joseph Mazur
Publisher: Penguin
ISBN: 1101664878
File Size: 6,75 MB
Format: PDF
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Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

A Tour Through Mathematical Logic

Autor: Robert S. Wolf
Publisher: Cambridge University Press
ISBN: 9780883850367
File Size: 10,39 MB
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The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gdel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.

The Secrets Of The Vaulted Sky

Autor: David Berlinski
Publisher: Houghton Mifflin Harcourt
ISBN: 9780151005277
File Size: 11,28 MB
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Explores the enigmatic world of astrology--one of the oldest "predictive arts"--revealing its complexities and scientific merit.

Is God A Mathematician

Autor: Mario Livio
Publisher: Simon and Schuster
ISBN: 9781416594437
File Size: 20,31 MB
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Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.