Einführung in die Theorie der Zahlen von Andrew Wiles, Edward M. Wright und...-

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Introduction to the Theory of Numbers by Andrew Wiles, Edward M. Wright and...
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ISBN
9780199219865
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0199219869
ISBN-13
9780199219865
eBay Product ID (ePID)
64066676

Product Key Features

Number of Pages
656 Pages
Publication Name
Introduction to the Theory of Numbers
Language
English
Subject
Number Theory
Publication Year
2008
Type
Textbook
Author
Andrew Wiles, Edward M. Wright, G. H. Hardy
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
1.4 in
Item Weight
34.3 Oz
Item Length
9.1 in
Item Width
6.1 in

Additional Product Features

Edition Number
6
Intended Audience
College Audience
TitleLeading
An
Dewey Edition
21
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
Illustrated
Yes
Dewey Decimal
512/.7
Table Of Content
Preface 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 ø(n), μ(n), *d(n), σ(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
Synopsis
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., 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 Number
QA241

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