Introduction to the Theory of Numbers

ISBN-10: 0199219869
ISBN-13: 9780199219865
Edition: 6th 2008
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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  More...

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Book details

List price: $66.00
Edition: 6th
Copyright year: 2008
Publisher: Oxford University Press, Incorporated
Publication date: 9/15/2008
Binding: Paperback
Pages: 480
Size: 6.14" wide x 9.21" long x 1.38" tall
Weight: 1.848
Language: English

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.

Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor of Pure Mathematics at Oxford University. He works in analytic number theory, and in particular on its applications to prime numbers and to Diophantine equations.

Preface to the sixth edition Andrew Wiles Preface to the fifth edition
The Series of Primes (1)
The Series of Primes (2)
Farey Series and a Theorem of Minkowski
Irrational Numbers
Congruences and Residues
Fermat's Theorem and its Consequences
General Properties of Congruences
Congruences to Composite Moduli
The Representation of Numbers by Decimals
Continued Fractions
Approximation of Irrationals by Rationals
The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p)
Some Diophantine Equations
Quadratic Fields (1)
Quadratic Fields (2)
The Arithmetical Functions �(n), m(n), d(n), �(n), r(n)
Generating Functions of Arithmetical Functions
The Order of Magnitude of Arithmetical Functions
Partitions
The Representation of a Number by Two or Four Squares
Representation by Cubes and Higher Powers
The Series of Primes (3)
Kronecker's Theorem
Geometry of Numbers
Elliptic Curves, Joseph H. Silverman
Appendix
List of Books
Index of Special
Symbols and Words
Index of Names General
Index

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