Today, complex numbers have such widespread practical use. (Mathematical Mysteries).
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 work with 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, mathematical discussions, and 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.
--from Princeton University Press Princeton University Press, 1998, 257 p., 6 1/4" x 9 1/2", hardcover, $29.95
|Printer friendly Cite/link Email Feedback|
|Title Annotation:||'An Imaginary Tale'|
|Article Type:||Book Review|
|Date:||Apr 13, 2002|
|Previous Article:||Pie in the face? (Letters).|
|Next Article:||Trigonometry has always been the black sheep of mathematics. (Mathematical Mysteries).|