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"E", The Story of a Number

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"E", The Story of a Number

by Eli Maor (Author)

Paperback

ISBN: 9780691058542

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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.

ISBN	691058547
ISBN13	9780691058542
Publisher	Princeton University Press
Format	Paperback
Publication date	04/05/1998
Pages	232
Weight (grammes)	342
Published in	United States
Height (mm)	229
Width (mm)	152

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Preface
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John Napier, 1614
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2 <
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Recognition
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Financial Matters
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To the Limit, If It Exists
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Forefathers of the Calculus
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Prelude to Breakthrough
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Squaring the Hyperbola
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The Birth of a New Science
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The Great Controversy
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e[superscript x]: The Function That Equals its Own Derivative
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e[superscript theta]: Spira Mirabilis
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(e[superscript x] + e[superscript -x])/2: The Hanging Chain
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e[superscript ix]: "The Most Famous of All Formulas"
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e[superscript x + iy]: The Imaginary Becomes Real
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But What Kind of Number Is It?
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App. 1. Some Additional Remarks on Napier's Logarithms
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App. 2. The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity]
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App. 3. A Heuristic Derivation of the Fundamental Theorem of Calculus
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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
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App. 5. An Alternative Definition of the Logarithmic Function
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App. 6. Two Properties of the Logarithmic Spiral
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App. 7. Interpretation of the Parameter [phi] in the Hyperbolic Functions
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App. 8. e to One Hundred Decimal Places
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Bibliography
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Index