Borwein, Jonathan M.
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, c1987. xv, 414 p. ; 24 cm. — (Canadian Mathematical Society series of monographs and advanced texts = ; v. 4)
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 387-395) e índices.
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.
ISBN 0471831387. — ISBN 047131515X (pbk.)
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