An introduction to the theory of numbers
Title:
An introduction to the theory of numbers
Author:
Hardy, G. H., (Godfrey Harold), 1877-1947. author.
ISBN:
9780199219858
9780199219865
Personal Author:
Edition:
6th ed. / [revised by D.R. Heath-Brown and J.H. Silverman].
Physical Description:
xxi, 621 pages : illustrations ; 24 cm.
Series:
Oxford mathematics
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.
Abstract:
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.
Subject Term: