Pi and the AGM : a study in analytic number theory and computational complexity /

Guardado en:
Autor Principal: Borwein, Jonathan M.
Otros Autores: Borwein, Peter B.
Formato: Libro
Idioma:English
Publicado: New York : Wiley, 1998, c1987.
Edición:Paperback ed.
Series:Canadian Mathematical Society series of monographs and advanced texts ; v. 4.
Materias:
Pi.
Acceso en línea:Publisher description
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Tabla de Contenidos:
  • 1. Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration
  • 2. Theta Functions and the Arithmetic-Geometric Mean Iteration
  • 3. Jacobi's Triple-Product and Some Number Theoretic Applications
  • 4. Higher Order Transformations
  • 5. Modular Equations and Algebraic Approximations to [pi]
  • 6. The Complexity of Algebraic Functions
  • 7. Algorithms for the Elementary Functions
  • 8. General Means and Iterations
  • 9. Some Additional Applications
  • 10. Other Approaches to the Elementary Functions
  • 11. Pi.