Pi and the AGM : a study in analytic number theory and computational complexity / Jonathan M. Borwein, Peter B. Borwein.
Series Canadian Mathematical Society series of monographs and advanced texts: v. 4.Editor: New York : Wiley, 1998, c1987Edición: Paperback edDescripción: xv, 414 p. ; 24 cmISBN: 0471831387; 047131515X (pbk.)Tema(s): Number theory | Computational complexity | Elliptic functions | PiOtra clasificación: 11Y60 (11B65 68Q25) Recursos en línea: Publisher description1. Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration2. Theta Functions and the Arithmetic-Geometric Mean Iteration3. Jacobi's Triple-Product and Some Number Theoretic Applications4. Higher Order Transformations5. Modular Equations and Algebraic Approximations to [pi]6. The Complexity of Algebraic Functions7. Algorithms for the Elementary Functions8. General Means and Iterations9. Some Additional Applications10. Other Approaches to the Elementary Functions11. Pi.
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Instituto de Matemática, CONICET-UNS | 11 B739 (Browse shelf) | Checked out | 2024-10-30 | A-7973 |
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| 11 B524 Gauss and Jacobi sums / | 11 B731 Automorphic forms on SL2(R) / | 11 B7315 Number theory / | 11 B739 Pi and the AGM : | 11 B7395 Computational excursions in analysis and number theory / | 11 B739e Experimentation in mathematics : | 11 B739m Mathematics by experiment : |
"A Wiley-Interscience publication."
Incluye referencias bibliográficas (p. 387-395) e índices.
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.
MR, 99h:11147
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