» » Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)

Fb2 Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) ePub

by Peter B. Borwein,Jonathan M. Borwein

Category: Mathematics
Subcategory: Science books
Author: Peter B. Borwein,Jonathan M. Borwein
ISBN: 0471831387
ISBN13: 978-0471831389
Language: English
Publisher: Wiley-Interscience; 1 edition (January 1987)
Pages: 414
Fb2 eBook: 1307 kb
ePub eBook: 1438 kb
Digital formats: lrf docx mbr lrf

The second takes the reader into the domain of analytic complexity . The third direction leads through applications and ancillary material - particularly the rich interconnections between the function theory and the number theory.

The second takes the reader into the domain of analytic complexity - Just how intrinsically difficult is it to calculate algebraic functions, elementary functions and constants, and the familiar functions of mathematical physics? The answers are surprising, for the familiar methods are often far from optimal.

by Jonathan M. Borwein. Hardcover, 432 pages. Published January 19th 1987 by Wiley-Interscience. PI and the AGM: A Study in Analytic Number Theory and Computational Complexity. 0471831387 (ISBN13: 9780471831389).

Critical Acclaim for Pi and the AGM: "Fortunately we have the Borwein's . Paperback: 432 pages. Publisher: Wiley-Interscience (July 13, 1998). This book fills an important and very neglected place in the mathematics curriculum.

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. We suppose we understand the usual, foundational transcendental functions, like the logarithm, exponential, trig functions, and several others.

A Study in Analytic Number Theory and Computational Complexity; Reprint of the 1987 Original, A Wiley-Interscience Publication. has been cited by the following article

A Study in Analytic Number Theory and Computational Complexity; Reprint of the 1987 Original, A Wiley-Interscience Publication. has been cited by the following article: TITLE: The Towering Zeta Function. AUTHORS: Michael M. Anthony. KEYWORDS: Riemann Hypothesis, Zeta, Power Towers, Convergence, Exponential Iterations. JOURNAL NAME: Advances in Pure Mathematics, Vo. N., April 26, 2016.

between the function theory and the number theory.

Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein Publisher: Wiley-Interscience (July 13, 1998) ISBN: 047131515X Pages: 432 DJVU . 6 M. The second takes the reader into the domain of analytic complexity-Just how intrinsically difficult is it to calculate algebraic functions, elementary functions and constants, and the familiar functions of mathematical physics? The answers are surprising, for the familiar methods are often far from optimal. The third direction leads through applications and ancillary y the rich interconnections between the function theory and the number theory.

He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. Qiji J. Zhu is a Professor in the Department of Mathematics at Western Michigan University. He received his doctorate at Northeastern University in 1992.

Series: Canadian Mathematical Society series of monographs and advanced texts , Monographies et etudes de la Societe mathematique du Canada. org to approved e-mail addresses. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. The Proof of Fermat's Last Theorem.

Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity. David and Gregory Chudnovsky. Approximations and complex multiplication according to Ramanujan. Richard P. Brent, Multiple-precision zero-finding methods and the complexity of elementary function evaluation, in: Analytic Computational Complexity (J. F. Traub, e., Academic Press, New York, 1975, 151–176. a b Richard P. Brent (2018), The Borwein Brothers, Pi and the AGM (PDF). Two Fast GCD Algorithms".

A study in analytic number theory and computational complexity; A Wiley-Interscience Publication.

Jonathan M. Borwein and Peter B. Borwein, Pi and the AGM, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, In. New York, 1987. A study in analytic number theory and computational complexity; A Wiley-Interscience Publication. 6. J. M. Borwein and P. B. Borwein, On the complexity of familiar functions and numbers, SIAM Rev. 30 (1988), no. 4, 589–601.

J. Borwein, Ramanujan and pi, Scientific American 258 (1988), 112-117

J. Borwein, Ramanujan and pi, Scientific American 258 (1988), 112-117. American Mathematical Society. On the Maximality of Certain Hyperellptic Curves with an Application to Character Sums Peter McCalla and Francois Ramaroson McCalla, Peter and Ramaroson, Francois, Communications in Mathematical Analysis, 2015. Optimal Two-Stage Stratified Sampling DeGroot, M. H. and Starr, . The Annals of Mathematical Statistics, 1969.

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 at the piano, replied, "Mon plaisir." The authors are cultured mathematicians. They have selected what has amused and intrigued them in the hope that it will do the same for us. Frankly, I cannot think of a more provocative and generous recipe for writing a book . . . (it) is cleanly, even beautifully written, and attractively printed and composed. The book is unique. I cannot think of any other book in print which contains more than a smidgen of the material these authors have included.--SIAM Review "If this subject begins to sound more interesting than it did in the last newspaper article on 130 million digits of Pi, I have partly succeeded. To succeed completely I will have gotten you interested enough to read the delightful and important book by the Borweins."--American Mathematical Monthly "The authors are to be commended for their careful presentation of much of the content of Ramanujan's famous paper, 'Modular Equations and Approximations to Pi'. This material has not heretofore appeared in book form. However, more importantly, Ramanujan provided no proofs for many of the claims that he made, and so the authors provided many of the missing details . . . The Borweins, indeed have helped us find the right roads."--Mathematics of Computation
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