Home » Pi And The Agm: A Study In Analytic Number Theory And Computational Complexity by Jonathan M. Borwein
Pi And The Agm: A Study In Analytic Number Theory And Computational Complexity Jonathan M. Borwein

Pi And The Agm: A Study In Analytic Number Theory And Computational Complexity

Jonathan M. Borwein

Published January 19th 1987
ISBN : 9780471831389
Hardcover
432 pages
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 About the Book 

Critical Acclaim for Pi and the AGM:Fortunately we have the Borweins 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 theMoreCritical Acclaim for Pi and the AGM:Fortunately we have the Borweins 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 SocietyWhat 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 ReviewIf 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 MonthlyThe authors are to be commended for their careful presentation of much of the content of Ramanujans 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