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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Maor, Eli (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, [2009].
Colección:Princeton science library.
Temas:
e (The number)
e (Le nombre)
MATHEMATICS > Number Theory.
MATHEMATICS > History & Philosophy.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares