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PI and the AGM: A Study in Analytic Number Theory and Computational Complexity

Publisher: 
John Wiley
Number of Pages: 
432
Price: 
137.95
ISBN: 
978-0471315155
Date Received: 
Thursday, January 1, 2009
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Jonathan M. Borwein and Peter B. Borwein
Publication Date: 
1998
Format: 
Paperback
Category: 
Monograph
BLL Committee
01/28/2009
BLL Rating: 

 

Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration.

Theta Functions and the Arithmetic-Geometric Mean Iteration.

Jacobi's Triple-Product and Some Number Theoretic Applications.

Higher Order Transformations.

Modular Equations and Algebraic Approximations to pi.

The Complexity of Algebraic Functions.

Algorithms for the Elementary Functions.

General Means and Iterations.

Some Additional Applications.

Other Approaches to the Elementary Functions.

Pi.

Bibliography.

Symbol List.

Index.
Publish Book: 
Modify Date: 
Wednesday, January 28, 2009

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