e : the story of a number  pbk

Eli Maor

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 background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science.

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  • 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

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書名 e : the story of a number
著作者等 Maor, Eli
シリーズ名 Princeton science library
巻冊次 pbk
出版元 Princeton University Press
刊行年月 2009
ページ数 xiv, 227 p.
大きさ 24 cm
ISBN 9780691141343
NCID BA89452039
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言語 英語
出版国 アメリカ合衆国