Accessible to any reader with the equivalent of the first two years of college mathematics, this is the story behind one of the world’s most influential mathematical equations. 2 halftones. 77 line illustrations.If you ever wondered about the beauties and powers of mathematics, this book is a treasure trove. Paul Nahin uses Euler’s formula as the magic key to unlock a wealth of surprising consequences, ranging from number theory to electronics, presented clearly, carefully, and with verve.–Peter Pesic, St. John’s CollegepThe range and variety of topics covered here is impressive. I found many little gems that I have never seen before in books of this type. Moreover, the writing is lively and enthusiastic and the book is highly readable.–Des Higham, University of Strathclyde, GlasgowNahin’s tale of the formula e}pi} i+1=0, which links five of the most important numbers in mathematics, is remarkable. With a plethora of historical and anecdotal material and a knack for linking events and facts, he gives the reader a strong sense of what drove mathematicians like Euler. — Matthew Killeya New ScientistNahin includes gems from all over mathematics, ranging from engineering applications to beautiful pure-mathematical identities. Most of his topics lie just beyond the periphery of a typical mathematics course: they are facts, such as the irrationality of pi, that you may have heard of but never had explained in detail. It would be good to have more books like this.It is very difficult to sum up the greatness of Euler. . . . This excellent book goes a long way to explaining the kind of mathematician he really was.The heart and soul of the book are the final three chapters on Fourier series, Fourier integrals, and related engineering. One can recommend them to all applied math students for their historical development and sensible content.Nahin’s tale of the formula e pi] i+1=0, which links five of the most important numbers in mathematics, is remarkable. With a pl@3-=p£× ¾Û€