[PDF.76eu] Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity

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

[PDF.np00] Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity

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 | #3970113 in Books |  1998-07-13 | Original language:English | PDF # 1 |  9.21 x.79 x6.10l,1.26 | File type: PDF | 432 pages

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||4 of 4 people found the following review helpful.| Valuable, unique|By Jim Curry|This book fills an important and very neglected place in the mathematics curriculum. We suppose we understand the usual, foundational transcendental functions, like the logarithm, exponential, trig functions, and several others. Still, most of us don't really know practical approaches to computing the values of these functions efficiently. We ma|From the Publisher|Presents new research revealing the interplay between classical analysis and modern computation and complexity theory. Two intimately interwoven threads run though the text: the arithmetic-geometric mean (AGM) iteration of Gauss, Lagrange, and

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."--Bulletin of the American Mathematical Society

"What am I to say about this quilt of a book? One is reminded of Debussy who, on being asked by his harmony teacher to explain what rules he was following as he improvised ...

You can specify the type of files you want, for your device.Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity   |  Jonathan M. Borwein, Peter B. Borwein. I have read it a couple of times and even shared with my family members. Really good. Couldnt put it down.

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