Pi and the Arithmetic Geometric Mean

Jonathan M. Borwein

ISBN 10: 047131515X / ISBN 13: 9780471315155

Published by John Wiley & Sons Inc, 1998

About this Item

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. Num Pages: 432 pages, Ill. BIC Classification: PBH. Category: (G) General (US: Trade); (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 233 x 158 x 23. Weight in Grams: 622. . 1998. Paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780471315155

Bibliographic Details

• Title: Pi and the Arithmetic Geometric Mean
• Publisher: John Wiley & Sons Inc
• Publication Date: 1998
• Language: English
• ISBN 10: 047131515X
• ISBN 13: 9780471315155
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Critical Acclaim for Pi and the AGM:

"Fortunately we have the Borwein's beautiful book . . . explores inthe first five chapters the glorious world so dear to Ramanujan . .. would be a marvelous text book for a graduate course."--Bulletinof the American Mathematical Society

"What am I to say about this quilt of a book? One is reminded ofDebussy who, on being asked by his harmony teacher to explain whatrules he was following as he improvised at the piano, replied, "Monplaisir." The authors are cultured mathematicians. They haveselected what has amused and intrigued them in the hope that itwill do the same for us. Frankly, I cannot think of a moreprovocative and generous recipe for writing a book . . . (it) iscleanly, even beautifully written, and attractively printed andcomposed. The book is unique. I cannot think of any other book inprint which contains more than a smidgen of the material theseauthors have included.--SIAM Review

"If this subject begins to sound more interesting than it did inthe last newspaper article on 130 million digits of Pi, I havepartly succeeded. To succeed completely I will have gotten youinterested enough to read the delightful and important book by theBorweins."--American Mathematical Monthly

"The authors are to be commended for their careful presentation ofmuch of the content of Ramanujan's famous paper, 'Modular Equationsand Approximations to Pi'. This material has not heretoforeappeared in book form. However, more importantly, Ramanujanprovided no proofs for many of the claims that he made, and so theauthors provided many of the missing details . . . The Borweins,indeed have helped us find the right roads."--Mathematics ofComputation

About the Author

Jonathan Michael Borwein was a Scottish mathematician who held an appointment as Laureate Professor of mathematics at the University of Newcastle, Australia. Peter B. Borwein is the author of Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity, published by Wiley.