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Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400833892
Category : Mathematics
Languages : en
Pages : 297
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Book Description
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400833892
Category : Mathematics
Languages : en
Pages : 297
Get Book Here
Book Description
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Author: Paul J. Nahin
Publisher: Universities Press
ISBN: 9788173713996
Category :
Languages : en
Pages : 284
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Book Description
Author: Paul J. Nahin
Publisher: Princeton University Press
ISBN: 0691175918
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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.
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 1400832349
Category : Mathematics
Languages : en
Pages : 242
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Book Description
The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
Author: Piotr Barsony
Publisher: Skyhorse Publishing Inc.
ISBN: 1620872285
Category : Juvenile Nonfiction
Languages : en
Pages : 57
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Book Description
A history of modern painting, presented through the story of the Mona Lisa, features an artist who serves as a museum tour guide introducing famous movements while sharing creative images of how the Mona Lisa may have appeared if painted by other master artists.
Author: William Frucht
Publisher:
ISBN:
Category : Fiction
Languages : en
Pages : 360
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Book Description
"Enter the wildly inventive world of Imaginary Numbers, in which a marvelous roster of acclaimed writers conjure up magical happenings, fantastic visions, and brainteasing puzzles, all based in some way on mathematical ideas. This anthology offers a connoisseur's selection of a special brand of creative writing in which the authors play with a vast array of mathematical notions - from the marvels of infinity to the peculiarities of space-time to quantum weirdness, the relativity of time, and the curious attraction of black holes." --Book Jacket.
Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 0691218765
Category : Mathematics
Languages : en
Pages : 406
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Book Description
By combining the mathematical history of extremes with contemporary examples, Paul J. Nahin answers some intriguing questions such as: what is the best way to photograph a speeding bullet?; and why does light move through glass in the least possible amount of time?
Author: A.F. Harrold
Publisher: Bloomsbury Publishing
ISBN: 1408850176
Category : Juvenile Fiction
Languages : en
Pages : 216
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Book Description
Rudger is Amanda's best friend. He doesn't exist, but nobody's perfect. Only Amanda can see her imaginary friend – until the sinister Mr Bunting arrives at Amanda's door. Mr Bunting hunts imaginaries. Rumour says that he eats them. And he's sniffed out Rudger. Soon Rudger is alone, and running for his imaginary life. But can a boy who isn't there survive without a friend to dream him up? A brilliantly funny, scary and moving read from the unique imagination of A.F. Harrold, this beautiful book is astoundingly illustrated with integrated art and colour spreads by the award-winning Emily Gravett.
Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400839580
Category : Mathematics
Languages : en
Pages : 406
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Book Description
More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.
Author: Matthew Dicks
Publisher: St. Martin's Press
ISBN: 1250024005
Category : Fiction
Languages : en
Pages : 321
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Book Description
Imaginary friend Budo narrates this heartwarming story of love, loyalty, and the power of the imagination—the perfect read for anyone who has ever had a friend . . . real or otherwise Budo is lucky as imaginary friends go. He's been alive for more than five years, which is positively ancient in the world of imaginary friends. But Budo feels his age, and thinks constantly of the day when eight-year-old Max Delaney will stop believing in him. When that happens, Budo will disappear. Max is different from other children. Some people say that he has Asperger's Syndrome, but most just say he's "on the spectrum." None of this matters to Budo, who loves Max and is charged with protecting him from the class bully, from awkward situations in the cafeteria, and even in the bathroom stalls. But he can't protect Max from Mrs. Patterson, the woman who works with Max in the Learning Center and who believes that she alone is qualified to care for this young boy. When Mrs. Patterson does the unthinkable and kidnaps Max, it is up to Budo and a team of imaginary friends to save him—and Budo must ultimately decide which is more important: Max's happiness or Budo's very existence. Narrated by Budo, a character with a unique ability to have a foot in many worlds—imaginary, real, child, and adult— Memoirs of an Imaginary Friend touches on the truths of life, love, and friendship as it races to a heartwarming . . . and heartbreaking conclusion.
