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Dr. Eulers Fabulous Formula: Cures Many Mathematical Ills Paul J. Nahin

Dr. Eulers Fabulous Formula: Cures Many Mathematical Ills

Paul J. Nahin

Published
ISBN : 9780691150376
Paperback
380 pages
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 About the Book 

I used to think math was no funCause I couldnt see how it was doneNow Eulers my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineerIn the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed aMoreI used to think math was no funCause I couldnt see how it was doneNow Eulers my heroFor I now see why zeroEquals e[pi] i+1--Paul Nahin, electrical engineerIn 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. Eulers 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.This book is the sequel to Paul Nahins An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems.The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the books preface: To mathematicians ten thousand years hence, Eulers formula will still be beautiful and stunning and untarnished by time.