Introduction to the Theory of Numbers

Name: Introduction to the Theory of Numbers
Price: 49.63 USD
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ISBN: 9780199219865

ISBN-10: 0199219869

ISBN-13: 9780199219865

Edition: 6th 2008

Authors: G. H. Hardy, Edward M. Wright, Roger Heath-Brown, Joseph Silverman, Andrew Wiles

List price: $70.00

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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 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…

Book details

List price: $70.00
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: 2.398
Language: English

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 ï¿½(n), m(n), d(n), ï¿½(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