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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Eli Maor |

ISBN: | 0691033900 9780691033907 0691058547 9780691058542 |

OCLC Number: | 29310868 |

Awards: | Runner-up for AAP/Professional and Scholarly Publishing Awards: Mathematics and Statistics 1994. |

Description: | xiv, 223 pages : illustrations ; 25 cm |

Contents: | 1. John Napier, 1614 -- 2. Recognition -- 3. Financial Matters -- 4. To the Limit, If It Exists -- 5. Forefathers of the Calculus -- 6. Prelude to Breakthrough -- 7. Squaring the Hyperbola -- 8. The Birth of a New Science -- 9. The Great Controversy -- 10. e[superscript x]: The Function That Equals its Own Derivative -- 11. e[superscript theta]: Spira Mirabilis -- 12. (e[superscript x] + e[superscript -x])/2: The Hanging Chain -- 13. e[superscript ix]: "The Most Famous of All Formulas" -- 14. e[superscript x + iy]: The Imaginary Becomes Real -- 15. But 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. |

Responsibility: | Eli Maor. |

More information: |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

This is a gently paced, elegantly composed book, and it will bring its readers much pleasure... Maor has written an excellent book that should be in every public and school library. -- Ian Stewart New Scientist Maor wonderfully tells the story of e. The chronological history allows excursions into the lives of people involved with the development of this fascinating number. Maor hangs his story on a string of people stretching from Archimedes to David Hilbert. And by presenting mathematics in terms of the humans who produced it, he places the subject where it belongs--squarely in the centre of the humanities. -- Jerry P. King Nature Maor has succeeded in writing a short, readable mathematical story. He has interspersed a variety of anecdotes, excursions, and essays to lighten the flow... [The book] is like the voyages of Columbus as told by the first mate. -- Peter Borwein Science Maor attempts to give the irrational number e its rightful standing alongside pi as a fundamental constant in science and nature; he succeeds very well... Maor writes so that both mathematical newcomers and long-time professionals alike can thoroughly enjoy his book, learn something new, and witness the ubiquity of mathematical ideas in Western culture. Choice Read more...

*User-contributed reviews*

## Tags

## Similar Items

### Related Subjects:(9)

- e (The number)
- e (wiskunde)
- Mathématiques -- Histoire.
- Nombres, Théorie des.
- e (le nombre)
- Nombres transcendants.
- Geschichte.
- e (Zahl)
- Number theory

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