## e: The Story of a NumberThe interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number |

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#### LibraryThing Review

User Review - James.Igoe - LibraryThingReading this book had me wondering about the mystical properties of numbers, whether there was some elemental truth I could discover. Overall, the book was an enjoyable and illuminating examination of e, and a solid retelling of e's importance in the development of trigonometry. Read full review

#### LibraryThing Review

User Review - kcshankd - LibraryThingI doubt this book appeals to readers with 'modest background in mathematics' as the cover promises. 'e' is the base of the natural logarithm. I vaguely recalled that e was the only number that was its ... Read full review

### Contents

1 John Napier 1614
| 3 |

2 Recognition
| 11 |

Computing with Logarithms
| 18 |

3 Financial Matters
| 23 |

4 To the Limit If It Exists
| 28 |

Some Curious Numbers Relat
ed to e | 37 |

5 Forefathers of the Calculus | 40 |

6 Prelude to Breakthrough
| 49 |

Remarkable Analogies | 147 |

Some Interesting Formulas Involving e
| 151 |

The Most Famous of All Formulas | 153 |

A Curious Episode in the History of e
| 162 |

The Imaginary Becomes Real
| 164 |

A Most Remarkable Discovery
| 183 |

15 But What Kind of Number Is It?
| 187 |

Appendixes
| 197 |

Indivisibles at Work | 56 |

7 Squaring the Hyperbola
| 58 |

8 The Birth of a New Science | 70 |

9 The Great Controversy
| 83 |

The Evolution of a Notation
| 95 |

The Function That Equals Its Own Derivative | 98 |

The Parachutist
| 109 |

Can Perceptions Be Quantified
? | 111 |

Spira Mirabilis | 114 |

A Historic Meeting between J S Bach and Johann Bernoulli | 129 |

The Logarithmic Spiral in Art and Nature | 134 |

12 ex + ex2 The Hanging Chain | 140 |

1 Some Additional Remarks on Napiers Logarithms
| 199 |

2 The Existence of lim 1 + 1nn as n | 201 |

3 A Heuristic Derivation of the Fundamental Theorem of Calculus
| 204 |

4 The Inverse Relation between lim bh 1h 1 and lim 1 + h1h b as h0 | 206 |

5 An Alternative Definition of the Logarithmic Function
| 207 |

6 Two Properties of the Logarithmic Spiral
| 209 |

7 Interpretation of the Parameter in the Hyperbolic Functions
| 212 |

8 e to One Hundred Decimal Places
| 215 |

217 | |

221 | |