An Introduction to the Theory of Numbers by G.H. Hardy (English) Paperback Book

Description: An Introduction to the Theory of Numbers by G.H. Hardy, E.M. Wright, Roger Heath-Brown, Joseph Silverman, Andrew Wiles 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 Fermats Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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 todays students through the key milestones anddevelopments 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 FermatsLast 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. Notes 6th edition. A much-needed update of a classic text, with end of chapter notes. Author Biography Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor ofPure Mathematics at Oxford University. He works in analytic numbertheory, and in particular on its applications to prime numbers and toDiophantine equations. Table of Contents Preface to the sixth editionAndrew Wiles:Preface 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: Fermats 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 k(l), k(i), and k(p)13: Some Diophantine Equations14: Quadratic Fields (1)15: Quadratic Fields (2)16: The Arithmetical Functions Ø(n), µ(n), *d(n), *s(n), r(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: Kroneckers Theorem24: Geometry of Numbers25: Joseph H. Silverman: Elliptic CurvesAppendixList of BooksIndex of Special Symbols and WordsIndex of NamesGeneral Index Review `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 Promotional 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. Long 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 todays students through the key milestones anddevelopments 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 FermatsLast 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. Review Text `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 Review Quote 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 Feature Much-needed update of a classic textExtensive end-of-chapter notesSuggestions for further reading for the more avid readerNew chapter on one of the most important developments in number theory and its role in the proof of Fermats Last Theorem Details ISBN0199219869 Author Andrew Wiles Short Title INTRO TO THEORY OF NUMBERS 6/E Language English Edition 6th ISBN-10 0199219869 ISBN-13 9780199219865 Media Book Format Paperback DEWEY 512.7 Year 2008 Imprint Oxford University Press Place of Publication Oxford Country of Publication United Kingdom Replaces 9780198531715 Birth 1877 Death 1947 DOI 10.1604/9780199219865 UK Release Date 2008-07-31 NZ Release Date 2008-07-31 Pages 656 Publisher Oxford University Press Edition Description 6th Revised edition Publication Date 2008-07-31 Alternative 9780199219858 Edited by Joseph Silverman Illustrations 10 black and white line drawings Audience Undergraduate AU Release Date 2008-06-25 We've got this At The Nile, if you're looking for it, we've got it. 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