E The Story of a Number

ISBN-10: 0691058547
ISBN-13: 9780691058542
Edition: 1994
Authors: Eli Maor
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Description: In this informal and engaging history, Eli Maor protrays the curious characters and the elegant mathematics that lie behind the number e.

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Book details

List price: $19.95
Copyright year: 1994
Publisher: Princeton University Press
Publication date: 5/24/1998
Binding: Paperback
Pages: 248
Size: 6.00" wide x 9.25" long x 0.50" tall
Weight: 0.990
Language: English

In this informal and engaging history, Eli Maor protrays the curious characters and the elegant mathematics that lie behind the number e.

Eli Maor is a teacher of the history of mathematics who has successfully popularized his subject with the general public through a series of informative and entertaining books. In "E: The Story of a Number," Maor uses anecdotes, excursions and essays to illustrate that number's importance to mathematics. "Trigonometric Delights" brings trigonometry to life by blending history, biography, scientific curiosities and mathematics to achieve the goal of showing how trigonometry has contributed to both science and social development. "To Infinity and Beyond: A Cultural History of the Infinite" explores the idea of infinity in mathematics and art through the use of the illustrations of the Dutch artist M.C. Escher. Eli Maor's readable books have made the world of numbers accessible even to those with little or no background in mathematics.

Preface
John Napier, 1614
Recognition
Financial Matters
To the Limit, If It Exists
Forefathers of the Calculus
Prelude to Breakthrough
Squaring the Hyperbola
The Birth of a New Science
The Great Controversy
e[superscript x]: The Function That Equals its Own Derivative
e[superscript theta]: Spira Mirabilis
(e[superscript x] + e[superscript -x])/2: The Hanging Chain
e[superscript ix]: "The Most Famous of All Formulas"
e[superscript x + iy]: The Imaginary Becomes Real
But What Kind of Number Is It?
Some Additional Remarks on Napier's Logarithms
The Existence of lim (1 + 1/n)[superscript n] as n [approaches] [infinity]
A Heuristic Derivation of the Fundamental Theorem of Calculus
The Inverse Relation between lim (b[superscript h] - 1)/h = 1 and lim (1 + h)[superscript 1/h] = b as h [approaches] 0
An Alternative Definition of the Logarithmic Function
Two Properties of the Logarithmic Spiral
Interpretation of the Parameter [phi] in the Hyperbolic Functions
e to One Hundred Decimal Places
Bibliography
Index

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