An Imaginary Tale

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.

Perfect for Neil Gaiman and Roald Dahl fans, this fully illustrated journey into the secret world of imaginary friends is quirky, dark, and utterly irresistible. Rudger is Amanda Shuffleup's imaginary friend. Nobody else can see Rudger--until the evil Mr. Bunting arrives at Amanda's door. Mr. Bunting hunts imaginaries. Rumor has it that he even eats them. And now he's found Rudger. Soon Rudger is alone, and running for his imaginary life. He needs to find Amanda before Mr. Bunting catches him--and before Amanda forgets him and he fades away to nothing. But how can an unreal boy stand alone in the real world? In the vein of Coraline, this gripping take on imaginary friends comes to life in a lush package: beautiful illustrations (10 in full color) by acclaimed artist Emily Gravett, a foiled and debossed case cover, printed endpapers, and deckled page edges. Winner of the UKLA Book Award (7-11 category) (2016) British Book Design and Production Award (children's category and overall winner) (2015)

"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.

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.

"11 tales you never expected to see!"--Cover.

From author and artist John Byrne comes another perspective on the development of both Superman and Batman that begins in 1942 and progresses right through to 2019.

This bold synthesis fills in many of the missing links between the histories of Europe and medieval China.

An imaginary garden is the center of a special relationship between a girl and her grandfather.