E: The Story of a Number

Name: E: The Story of a Number
Brand: PRINCETON UNIV PR
SKU: 19097877
Price: 11.87 EUR
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(Sprache: Englisch)

Autor: Eli Maor

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Autorenporträt
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Produktinformationen zu „E: The Story of a Number “

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.

Inhaltsverzeichnis zu „E: The Story of a Number “

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

Autoren-Porträt von Eli Maor

Eli Maor is the author of "Venus in Transit", "Trigonometric Delights", "To Infinity and Beyond", and "The Pythagorean Theorem: A 4,000-Year History" (all Princeton). He teaches the history of mathematics at Loyola University in Chicago and at the Graham School of General Education at the University of Chicago.

Bibliographische Angaben

Autor: Eli Maor
2009, 227 Seiten, Maße: 15,5 x 23,1 cm, Kartoniert (TB), Englisch
Verlag: PRINCETON UNIV PR
ISBN-10: 0691141347
ISBN-13: 9780691141343

Sprache:

Englisch

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