**Book Description:**

I used to think math was no fun 'Cause I couldn't see how it was done Now Euler's my hero For I now see why zero Equals e[pi] i+1 --Paul Nahin, electrical engineer

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.

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 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 book's preface: To mathematicians ten thousand years hence, "Euler's formula will still be beautiful and stunning and untarnished by time."

**eISBN:**978-1-4008-3847-9

**Subjects:**Mathematics