Index | Next Record | Browse
|
|
Index | Next Record | Browse |
|
|
| ||
|
||
| For Pricing and Availability Click Here | ||
|
||
|
||
|
|
|
|
Table of contents:
The interest earned on a bank account, the arrangement of seeds in a sun flower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e . In this informal history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for the reader with only a modest background in mathematics and illuminates a golde era in the age of science.
Contents:
Preface John Napier, 1614 2Recognition 3Financial Matters 4To the Limit, If It Exists 5Forefathers of the Calculus 6Prelude to Breakthrough 7Squaring the Hyperbola 8The Birth of a New Science 9The Great Controversy 10e[superscript x]: The Function That Equals its Own Derivative 11e[superscript theta]: Spira Mirabilis 12(e[superscript x] + e[superscript -x])/2: The Hanging Chain 13e[superscript ix]: The Most Famous of All Formulas 14e[superscript x + iy]: The Imaginary Becomes Real 15But What Kind of Number Is It? App
1
Some Additional Remarks on Napier's Logarithms App
2
The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity] App
3
A Heuristic Derivation of the Fundamental Theorem of Calculus App
4
The Inverse Relation between lim (b[superscript h] - 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0 App
5
An Alternative Definition of the Logarithmic Function App
6
Two Properties of the Logarithmic Spiral App
7
Interpretation of the Parameter [phi] in the Hyperbolic Functions App
8
e to One Hundred Decimal Places Bibliography Index
Brief Description:
The interest earned on a bank account, the arrangement of seeds in a sun flower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e . In this history, Eli Maor portrays the characters and the elegant mathematics that lie behind the number.
For Pricing and Availability Click Here
|
