Introduction to the theory of numbers

Includes index

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

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.