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

Jonathan M Borwein

ISBN 10: 047131515X / ISBN 13: 9780471315155

Edité par Wiley Jul 1998, 1998

A propos de cet article

Neuware - 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.

N° de réf. du vendeur 9780471315155

Détails bibliographiques

• Titre: Pi and the Agm : A Study in Analytic Number Theory and Computational Complexity
• Éditeur: Wiley Jul 1998
• Date de parution: 1998
• Langue: anglais
• ISBN à 10 chiffres: 047131515X
• ISBN à 13 chiffres: 9780471315155
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 234 L x 156 H x 23 P (en millimètres) 234 millimètres de largeur par 156 millimètres de hauteur par 23 millimètres de profondeur
• Poids: 658 grammes

A propos de ce titre

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

À propos de l?auteur

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.