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e: The Story of a Number : 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 l...
| Autor principal: | |
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| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
[2015]
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Frontmatter
- Contents
- Preface
- 1. John Napier, 1614
- 2 Recognition
- Computing with Logarithms
- 3 Financial Matters
- 4. To the Limit, If It Exists
- Some Curious Numbers Related to e
- 5. Forefathers of the Calculus
- 6. Prelude to Breakthrough
- Indivisibles at Work
- 7. Squaring the Hyperbola
- 8. The Birth of a New Science
- 9. The Great Controversy
- The Evolution of a Notation
- 10 e
- The Parachutist
- Can Perceptions Be Quantified?
- 11 e
- A Historic Meeting between J.S. Bach and Johann Bernoulli
- The Logarithmic Spiral in Art and Nature
- 12 (e
- Remarkable Analogies
- Some Interesting Formulas Involving e
- 13 e
- A Curious Episode in the History of e
- 14 e
- A Most Remarkable Discovery
- 15. But What Kind of Number Is It?
- Appendix 1. Some Additional Remarks on Napier's Logarithms
- Appendix 2. The Existence of lim (1+1/n)
- Appendix 3. A Heuristic Derivation of the Fundamental Theorem of Calculus
- Appendix 4. The Inverse Relation between lim (b
- Appendix 5. An Alternative Definition of the Logarithmic Function
- Appendix 6. Two Properties of the Logarithmic Spiral
- Appendix 7. Interpretation of the Parameter Hyperbolic Functions
- Appendix 8. e to One Hundred Decimal Places
- Bibliography
- Index.