Pi and the AGM : Study in Analytic Number Theory and Computational Complexity
Material type:
TextLanguage: English Series: Canadian Mathematical Society series of monographs and advanced textsPublication details: John Wiley & sons New York 1987Description: xv, 414ISBN: - 0471831387 (HB)
BOOKS
| Home library | Call number | Materials specified | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|
| IMSc Library | 511.3-3 BOR (Browse shelf(Opens below)) | Available | 42629 | |||
| IMSc Library | 511.3-3 BOR (Browse shelf(Opens below)) | Available | 26721 |
Includes Index
Includes Bibliography (p. 287-295) and references.
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
Critical Acclaim for Pi and the AGM: "Fortunately we have the Borwein's beautiful book... explores in the first five chapters the glorious world so dear to Ramanujan... would be a marvelous text book for a graduate course.
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