Number Theory (P): A Study in Analytic Number Theory and Computational Complexity (Canadian Mathematical Society Series of Monographs and Advanced Texts) - Softcover

M. Borwein, Jonathan

Softcover

ISBN 10: 047131515X ISBN 13: 9780471315155

Verlag: John Wiley & Sons, 1998

Inhaltsangabe

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

Über diesen Titel

Über die Autorin bzw. den Autor

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.

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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

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

Details zur Ausgabe

• Verlag: John Wiley & Sons
• Erscheinungsdatum: 1998
• Sprache: Englisch
• ISBN 10: 047131515X
• ISBN 13: 9780471315155
• Einband: Tapa blanda
• Anzahl der Seiten: 436
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar