# An Imaginary Tale: The Story of [the square root of minus one]

## Paul J. Nahin

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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.

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Review:

At the very beginning of his book on i, the square root of minus one, Paul Nahin warns his readers: "An Imaginary Tale has a very strong historical component to it, but that does not mean it is a mathematical lightweight. But don't read too much into that either. It is *not* a scholarly tome meant to be read only by some mythical, elite group.... Large chunks of this book can, in fact, be read and understood by a high school senior who has paid attention to his or her teachers in the standard fare of pre-college courses. Still, it will be most accessible to the million or so who each year complete a college course in freshman calculus.... But when I need to do an integral, let me assure you I have not fallen to my knees in dumbstruck horror. And neither should you."

Nahin is a professor of electrical engineering at the University of New Hampshire; he has also written a number of science fiction short stories. His style is far more lively and humane than a mathematics textbook while covering much of the same ground. Readers will end up with a good sense for the mathematics of i and for its applications in physics and engineering. --Mary Ellen Curtin

From the Back Cover:

"Dispelling many common myths about the origin of the mystic 'imaginary' unit, Nahin tells the story of i from a historic as well as human perspective. His enthusiasm and informal style easily catch on to the reader. An Imaginary Tale is a must for anyone curious about the evolution of our number concept."--Eli Maor, author of Trigonometric Delights, e: The Story of a Number, and To Infinity and Beyond

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## 1.An Imaginary Tale: The Story of i [the square root of minus one]

Editorial: Princeton University Press
ISBN 10: 0691027951 ISBN 13: 9780691027951
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Descripción Princeton University Press. Hardcover. Estado de conservación: New. 0691027951 Ships promptly. Nº de ref. de la librería GAT6280GAGG072017H0550

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## 2.An Imaginary Tale: The Story of [the square root of minus one]

ISBN 10: 0691027951 ISBN 13: 9780691027951
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Descripción Hardcover. Estado de conservación: BRAND NEW. NEW Book in Mint Condition -- Great DEAL !! Fast Shipping -- Friendly Customer Service -- Buy with Confidence!. Nº de ref. de la librería RP0691027951BN

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## 3.An Imaginary Tale: The Story of the square root of negative one

Editorial: Princeton University Press (1998)
ISBN 10: 0691027951 ISBN 13: 9780691027951
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Ergodebooks
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Descripción Princeton University Press, 1998. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0691027951

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## 4.An Imaginary Tale: The Story of i [the square root of minus one]

Editorial: Princeton University Press (1998)
ISBN 10: 0691027951 ISBN 13: 9780691027951
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Poverty Hill Books
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Descripción Princeton University Press, 1998. Hardcover. Estado de conservación: New. HARDCOVER, BRAND NEW COPY, Perfect Shape, No Black Remainder Mark,Fast Shipping With Online Tracking, International Orders shipped Global Priority Air Mail, All orders handled with care and shipped promptly in secure packaging, we ship Mon-Sat and send shipment confirmation emails. Our customer service is friendly, we answer emails fast, accept returns and work hard to deliver 100% Customer Satisfaction!. Nº de ref. de la librería 9012940

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## 5.An Imaginary Tale: The Story of [the square root of minus one]

Editorial: Princeton University Press (1998)
ISBN 10: 0691027951 ISBN 13: 9780691027951
Librería
Poverty Hill Books
(La Grange, IL, Estados Unidos de America)
Valoración

Descripción Princeton University Press, 1998. Hardcover. Estado de conservación: New. HARDCOVER, BRAND NEW, Perfect Shape, No Black Remainder Mark,Fast Shipping With Online Tracking, International Orders shipped Global Priority Air Mail, All orders handled with care and shipped promptly in secure packaging, we ship Mon-Sat and send shipment confirmation emails. Our customer service is friendly, we answer emails fast, accept returns and work hard to deliver 100% Customer Satisfaction!. Nº de ref. de la librería 9031853

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## 6.An Imaginary Tale: The Story of [the square root of minus one]

Editorial: Princeton University Press (1998)
ISBN 10: 0691027951 ISBN 13: 9780691027951
Nuevos Tapa dura Primera edición Cantidad: 1
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Descripción Princeton University Press, 1998. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0691027951

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## 7.An Imaginary Tale: The Story of [the square root of minus one]

Editorial: Princeton University Press (1998)
ISBN 10: 0691027951 ISBN 13: 9780691027951
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Murray Media
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Descripción Princeton University Press, 1998. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110691027951

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## 8.An Imaginary Tale: The Story of i [the square root of minus one]

Editorial: Princeton University Press
ISBN 10: 0691027951 ISBN 13: 9780691027951