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Pi and the AGM : a study in analytic number theory and computational complexity

Author: Jonathan M Borwein; Peter B Borwein
Publisher: New York : Wiley, ©1987.
Series: Canadian Mathematical Society series of monographs and advanced texts.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Borwein, Jonathan M.
Pi and the AGM.
New York : Wiley, c1987
(OCoLC)755165897
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jonathan M Borwein; Peter B Borwein
ISBN: 0471831387 9780471831389 047131515X 9780471315155
OCLC Number: 13822986
Notes: "A Wiley-Interscience publication."
Includes indexes.
Description: xv, 414 p. ; 24 cm.
Contents: 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.
Series Title: Canadian Mathematical Society series of monographs and advanced texts.
Responsibility: Jonathan M. Borwein, Peter B. Borwein.
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