![An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press](http://ecx.images-amazon.com/images/I/51EdpS4WaIL._SL160_.jpg)
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Title: An Imaginary Tale: The Story of "i" [the square root of minus one]
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Manufacturer: Princeton University Press
List Price: $16.95
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| Customer Reviews: |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press Wonderful book -- very highly recommend it |
A fantastic resource for anyone who has an inclination to learn math with history of how it really developed. I truly felt sorry that I didn't have this book when I was learning Trignometry in high school -- would have used De Moivre's theorem to derive the interesting identities without having to resort to painful coordinate geometry proofs.
ps: this book is not bedtime reading |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press An Imaginary Tale: The Story of "i" [the square root of minus one] |
| A good readable review of i. Begins with a discussion of Cardan(o)'s solution of the cubic equation with its unexpected side effects, and ends with contour integration. |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press calculus required |
| I thought this book would touch on the philosophical implications of the imaginary number. I was quite surprised to see the calculus level equations on pretty much every page of the book. If you are an accomplished math genius and want to know about the history of imaginary numbers, then this might be a great book. However, if you are a mere mortal and looking for an interesting read about math, this one might be a bit much. |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press Defective Copy |
Many unprinted pages (114, 115, 118, 119,122, 123,126,127,130,131, 134,135, 138, 139, 142, 143) that neither Princeton Paperbacks (not sold directly by them) or Amazon (more that 30 days) would stand behind.
This is a book that gave me additional prspestives to i. |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press What a stupid review system Amazon has |
I would give this 5 stars but your review system won't allow me to. Every time I move the cursor ot 5 stars, it blanks out. This is studid.
Who made up your WEB site? A trained chimpanze?
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| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press Product 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. |
| An Imaginary Tale: The Story of "i" [the square root of minus one] by Princeton University Press Amazon.com |
| 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 |
