An Imaginary Tale PDF ePub eBook

Books Info:

An Imaginary Tale free pdf 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.

About Paul J. Nahin

Paul J. Nahin is the author of many best-selling popular math books, including "Digital Dice, Chases and Escapes, Dr. Euler's Fabulous Formula, When Least Is Best, Duelling Idiots and Other Probability Puzzlers," and "Mrs. Perkins's Electric Quilt" (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.

Details Book

Author : Paul J. Nahin
Publisher : Princeton University Press
Data Published : 02 January 2007
ISBN : 0691127980
EAN : 9780691127989
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 296 pages
Age + : 15 years
Language : English
Rating :

Reviews An Imaginary Tale



17 Comments Add a comment




Related eBooks Download


  • An Imaginary Tale free pdfAn 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..


  • Number Systems and the Foundations of Analysis free pdfNumber Systems and the Foundations of Analysis

    Geared toward undergraduate and beginning graduate students. this study explores natural numbers. integers. rational numbers. real numbers. and complex numbers..


  • Number Systems and the Foundations of Analysis free pdfNumber Systems and the Foundations of Analysis

    Geared toward undergraduate and beginning graduate students. this study explores natural numbers. integers. rational numbers. real numbers. and complex numbers. Numerous exercises and appendixes supplement the text..


  • Multiple Interest Rate Analysis free pdfMultiple Interest Rate Analysis

    Although mathematicians have known about complex numbers as solutions to equations since the seventeenth century. the numbers had few applications until the twentieth century..


  • Golf by the Numbers free pdfGolf by the Numbers

    How do the world's greatest golfers improve their game. Practice. sure. but Roland Minton says mathematics and statistics are also key to their success. "Golf by the Numbers" analyzes the mathematical strategies behind the sport..


  • An Imaginary Tale free pdfAn Imaginary Tale

    Free Downloads Of Ebooks. 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 fil