Pi and the AGM : a study in analytic number theory and computational complexity
Jonathan M. Borwein, Peter B. Borwein.
Paperback ed.
New York : Wiley, 1998, ©1987.
xv, 414 págs. ; 24 cm.
Serie: Canadian Mathematical Society series of monographs and advanced texts = Monographies et études de la Société mathématique du Canada ; v. 4
ISBN: 0471831387, 047131515X (pbk.)
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 387-395) e índices.
Reseña: MathSciNet, 99h:11147
Contenido
- 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.