Dr. Euler's fabulous formula: cures many mathematical ills
by Paul J. Nahin

Persian Title: فرمول اویلر دکتر افسانه: درمان بسیاری از مشکلات ریاضی

Summary and Info
I used to think math was no fun'Cause I couldn't see how it was doneNow Euler's my heroFor I now see why zeroEquals e[pi] i+1 Paul Nahin, electrical engineer In the mideighteenth century, Swissborn 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 formulalong regarded as the gold standard for mathematical beautyand shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's 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 neverbeforetold tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for singlesideband AM radio, to the design of chaseandescape 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 book's preface: To mathematicians ten thousand years hence, "Euler's formula will still be beautiful and stunning and untarnished by time."
More About the Author
Paul J. Nahin (born November 26, 1940) is an engineer and author who has written several books on topics in physics and mathematics, including biographies of Oliver Heaviside, George Boole, and Claude Shannon, books on mathematical concepts such as Euler's formula and the imaginary unit, and a number of books on time travel.
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