An introduction to the theory of numbers / edited by G.H. Hardy and E.M. Wright.

By:

Hardy, G. H [author]

Contributor(s):

Wright, E.M [author]

Material type: Text

TextSeries: Oxford mathematicsPublication details: New York Oxford University Press 2008Edition: 6th editionDescription: xxi, 621 pages : illustrations ; 24 cmISBN:

9780199219865

Subject(s):

Number theory

DDC classification:

23 512.7 H222I-6

Contents:

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 -- 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.

Summary: 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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	512.7 H222I-6 (Browse shelf(Opens below))	Available		G016565

Gifted by NBHM

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 --
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.

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.

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