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An Introduction to the Theory of Numbers
 
 
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An Introduction to the Theory of Numbers [Paperback]

G. H. Hardy , E. M. Wright , Andrew Wiles , Roger Heath-Brown , Joseph Silverman
4.1 out of 5 stars  See all reviews (7 customer reviews)
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Product details

  • Paperback: 656 pages
  • Publisher: OUP Oxford; 6 edition (31 July 2008)
  • Language English
  • ISBN-10: 0199219869
  • ISBN-13: 978-0199219865
  • Product Dimensions: 23.1 x 15.5 x 3.6 cm
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Bestsellers Rank: 181,972 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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G. H. Hardy
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Review

"A really good book!"--Fernando Gouvea, Colby College
--This text refers to an out of print or unavailable edition of this title.

Product Description

An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory. Updates include a chapter by J.H. Silverman on one of the most important developments in number theory -- modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader The text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists.

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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

Most Helpful Customer Reviews
8 of 8 people found the following review helpful
Format:Hardcover
it is surprising to find that so few people have anything to say about this book; Hardy was a giant among mathematicians and at last this book is translated in french...but only two reviews...I must add that although it is an old book, the younger author saw that it was updated through 5 editions in the 20th century; this book cannot truly become obsolete because it is about number theory from an elementary viewpoint; so no complex analysis, no modular forms and no proof of Fermat's last theorem but a wealth of results that could keep you busy quite for a while. De plus certaines preuves n'ont vraiment pas vieilli et restent valables au niveau de l'enseignement secondaire; ainsi la plupart des démonstrations concernant les fonctions arithmétiques peuvent se retrouver dans des ouvrages plus récents comme le livre de Natanson: Elementary methods in number theory qui tout de même prouve le theorème tauberien de Littlewood via la méthode de Karamata. Let say it again: a wonderful book.
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11 of 12 people found the following review helpful
Essential Classic 6 April 2005
Format:Paperback
For the amateur (or student) enthusiast of Number Theory, this is clearly (and resoundingly) the essential reference book. It is dated (very dated), but still contains a good and thorough grounding in the subject with unmatched prose from the masters.

That said, this book doesn't treat the theory in the way that a modern student or professional needs to treat it, and of course, it is very old now. So, if you want up-to-date coverage you have to have other books, too.

For personal use, I tend to look in here for (traditional) definitions and some approaches to older theorems, but never to explore the proofs in detail. For those, I use more modern texts.

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2 of 2 people found the following review helpful
By Will
Format:Paperback
I have owned a hard-back copy of this book (4th edition) since 1964, when I was still a student. At that time there were not many books on number theory available, and as far as I remember, Hardy-Wright used to be recommended as the best book in the field. I had always regretted the absence of an index, which made it very difficult to use the book.
I have been aware of more recent editions of the book, and finally decided to purchase the latest edition a few days ago. What an improvement! Even though the old style notation and terminology has been preserved, the notes have been updated to include more recent results, and a a new chapter on elliptic curves has been added. An index is now in place, but it could be more detailed.
One must not forget that the book is directed to students of mathematics and practising mathematicians. Comments made about the book by other people should be read with care.
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