Cover; Contents; Preface to the Paperback Edition; What This Book Is About, What You Need to Know to Read It, and WHY You Should Read It; Preface: "When Did Math Become Sexy?"; Introduction; Chapter 1. Complex Numbers (an assortment of essays beyond the elementary involving complex numbers); Chapter 2. Vector Trips (some complex plane problems in which direction matters); Chapter 3. The Irrationality of p[sup(2)] ("higher" math at the sophomore level); Chapter 4. Fourier Series (named after Fourier but Euler was there first -- but he was, alas, partially WRONG!).;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 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 seque.