This specific ISBN edition is currently not available.View all copies of this ISBN edition:
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.
"synopsis" may belong to another edition of this title.
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 CurtinFrom the Back Cover:
"Dispelling many common myths about the origin of the mystic 'imaginary' unit, Nahin tells the story ofi 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 ofTrigonometric Delights, e: The Story of a Number, and To Infinity and Beyond
"About this title" may belong to another edition of this title.
Book Description Princeton University Press, 1998. Hardcover. Condition: New. Seller Inventory # DADAX0691027951
Book Description Princeton University Press, 1998. Condition: New. book. Seller Inventory # M0691027951
Book Description Princeton University Press, 1998. Hardcover. Condition: New. Never used!. Seller Inventory # P110691027951
Book Description Princeton University Press. Hardcover. Condition: New. 0691027951 New Condition. Seller Inventory # NEW99.0333552
Book Description Condition: New. New. Seller Inventory # M-0691027951
Book Description Princeton University Press, 1998. Hardcover. Condition: New. 1st - may be Reissue. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 0691027951n