Dr. Euler's Fabulous Formula: Cures Many Mathematical IllsIn 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. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come. |
Contents
| 1 | |
| 13 | |
Chapter 2Vector Trips some complex plane problems in which direction matters | 68 |
Chapter 3 The Irrationality of 960sup2 higher math at the sophomore level | 92 |
Chapter 4 Fourier Series named after Fourier but Euler was there firstbut he was alas partially WRONG | 114 |
Chapter 5 Fourier Integrals what happens as the period of a periodic function becomes infinite and other neat stuff | 188 |