A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics

by David Stipp

Overview

An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers

Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

Product Details

ISBN-13:	9780465093779
Publisher:	Basic Books
Publication date:	11/07/2017
Pages:	240
Sales rank:	1,130,299
Product dimensions:	5.80(w) x 8.30(h) x 1.00(d)

About the Author

David Stipp is an award-winning science writer whose work has appeared in Scientific American, New York Times, Wall Street Journal, Science, and other publications. The author of The Youth Pill, he lives in Boston, Massachusetts.

Table of Contents

Introduction 1

1 God's Equation 7

2 A Constant That's All About Change 16

3 It Even Comes Down the Chimney 33

4 The Number Between Being and Not-Being 47

5 Portrait of the Master 55

6 Through the Wormhole 72

7 From Triangles to Seesaws 76

8 Reggie's Problem 95

9 Putting It Together 103

10 A New Spin on Euler's Formula 114

11 The Meaning of It All 138

Appendix 1 Euler's Original Derivation 165

Appendix 2 Why iⁱ Is Real 183

Acknowledgments 185

Glossary 187

Bibliography 193

Notes 201

Index 211

Editorial Reviews

"If you are an intelligent reader—even one with a weak mathematical background... you could learn a lot from this book, and enjoy the experience."—Mathematical Association of America

"Mr. Stipp's roving account is propelled by his folksy sense of humor."—Wall Street Journal

"Stipp gives his reader a good shot at getting hold of something beautiful."—The Weekly Standard

"A Most Elegant Equation is a smart, incisive account of Euler's famous equation. It beautifully and seamlessly straddles the line between the salient ideas of the equation's proof and its historical, scientific, and philosophical significance."
— John Allen Paulos, professor of mathematics at Temple University and author of Innumeracy and A Numerate Life

"Even though Pi, e, and i are Very Important Numbers, they seemed unrelated—until Euler discovered a simple, beautiful, and totally unexpected link between them. This delightful book shows us why the formula is surprising, yet inevitable. Thoroughly enjoyable!"
— Ian Stewart, author of Significant Figures

"Does mathematics transcend our humanness, or is it simply a human construct? Either way, the astonishing interconnections and stunning beauty that mathematics offers can only serve to uplift our human souls. The poetry of 'e to the i pi,' as exemplified by David Stipp, masterfully proves this."
— James Tanton, Mathematician-at-Large for the Mathematical Association of America

"As a non-professional recovering mathlete, I found A Most Elegant Equation a delightful excursion into the beauty of mathematical thinking. Not only is Stipp a great storyteller, he is a terrific teacher with an easy conversational style who makes the most complex concepts lucid. For anyone who was ever afraid of math, here's your cure."
— Richard A. Friedman, Professor of Clinical Psychiatry at Weill Cornell Medical College and contributing Op-Ed writer for the New York Times

From the Publisher