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E: The Story of a Number

E: The Story of a Number Cover

 

Synopses & Reviews

Publisher Comments:

The 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 e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Description:

Includes bibliographical references (p. [213]-215) and index.

Table of Contents

Preface
1John Napier, 16143
2Recognition11
3Financial Matters23
4To the Limit, If It Exists28
5Forefathers of the Calculus40
6Prelude to Breakthrough49
7Squaring the Hyperbola58
8The Birth of a New Science70
9The Great Controversy83
10e[superscript x]: The Function That Equals its Own Derivative98
11e[superscript theta]: Spira Mirabilis114
12(e[superscript x] + e[superscript -x])/2: The Hanging Chain140
13e[superscript ix]: "The Most Famous of All Formulas"153
14e[superscript x + iy]: The Imaginary Becomes Real164
15But What Kind of Number Is It?183
App. 1. Some Additional Remarks on Napier's Logarithms195
App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity]197
App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus200
App. 4. The Inverse Relation between lim (b[superscript h] - 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0202
App. 5. An Alternative Definition of the Logarithmic Function203
App. 6. Two Properties of the Logarithmic Spiral205
App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions208
App. 8. e to One Hundred Decimal Places211
Bibliography213
Index217

Product Details

ISBN:
9780691033907
Subtitle:
The Story of a Number
Publisher:
Princeton University Press
Author:
Maor, Eli
Location:
Princeton, N.J. :
Subject:
e (The number)
Subject:
English language teaching (ELT)
Subject:
e
Subject:
History of Science and Medicine, Philosophy of Science
Subject:
Mathematics
Subject:
Popular science
Subject:
History
Copyright:
Series:
Princeton Science Library
Series Volume:
ch. C
Publication Date:
19940504
Binding:
Hardback
Illustrations:
6 halftones 74 line illus.
Pages:
240
Dimensions:
9 x 6 in 19 oz

Related Subjects

Science and Mathematics » Mathematics » History

E: The Story of a Number
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Product details 240 pages Princeton University Press - English 9780691033907 Reviews:
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