About this product

Product Identifiers

PublisherOxford University Press, Incorporated

ISBN-100199219869

ISBN-139780199219865

eBay Product ID (ePID)64066676

Product Key Features

Number of Pages656 Pages

Publication NameIntroduction to the Theory of Numbers

LanguageEnglish

SubjectNumber Theory

Publication Year2008

TypeTextbook

AuthorAndrew Wiles, Edward M. Wright, G. H. Hardy

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height1.4 in

Item Weight34.3 Oz

Item Length9.1 in

Item Width6.1 in

Additional Product Features

Edition Number6

Intended AudienceCollege Audience

TitleLeadingAn

Dewey Edition21

Reviews'Review from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected... Each chapter is a model of clear exposition, and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable.'Nature'This fascinating book... gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory.'Mathematical Gazette'...an important reference work... which is certain to continue its long and successful life...'Mathematical Reviews'...remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own.'Matyc Journal, '...an important reference work... which is certain to continue its long and successful life...'Mathematical Reviews, '...remains invaluable as a first course on the subject, and as a source of food for thought for anyone wishing to strike out on his own.'Matyc Journal, 'This fascinating book... gives a full, vivid and exciting account of its subject, as far as this can be done without using too much advanced theory.'Mathematical Gazette, 'Review from previous edition Mathematicians of all kinds will find the book pleasant and stimulating reading, and even experts on the theory of numbers will find that the authors have something new to say on many of the topics they have selected... Each chapter is a model of clear exposition,and the notes at the ends of the chapters, with the references and suggestions for further reading, are invaluable.'Nature

IllustratedYes

Dewey Decimal512/.7

Table Of ContentPreface to the sixth editionPreface to the fifth edition1. The Series of Primes (1)2. The Series of Primes (2)3. Farey Series and a Theorem of Minkowski4. Irrational Numbers5. Congruences and Residues6. Fermat's Theorem and its Consequences7. General Properties of Congruences8. Congruences to Composite Moduli9. The Representation of Numbers by Decimals10. Continued Fractions11. Approximation of Irrationals by Rationals12. The Fundamental Theorem of Arithmetic in ik/i(l), ik/i(i), and ik/i(p)13. Some Diophantine Equations14. Quadratic Fields (1)15. Quadratic Fields (2)16. The Arithmetical Functions Ã¸(n), Î¼(n), *d(n), Ïƒ(n), ir/i(n)17. Generating Functions of Arithmetical Functions18. The Order of Magnitude of Arithmetical Functions19. Partitions20. The Representation of a Number by Two or Four Squares21. Representation by Cubes and Higher Powers22. The Series of Primes (3)23. Kronecker's Theorem24. Geometry of Numbers25. Elliptic CurvesAppendixList of BooksIndex of Special Symbols and WordsIndex of NamesGeneral Index

SynopsisAn 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., 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 readerThe 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., The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes., iAn Introduction to the Theory of Numbers/i 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 iAn Introduction to the Theory of Numbers/i 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 readerThe 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.

LC Classification NumberQA241