Synopses & Reviews
A completely updated version of this widely used introduction to the subject. Changes in this edition include an easier initial approach, more historical observations, added problems for solution by hand calculator, the multiplicative group module, combinatorial number theory, Dirichlet theorem for special arithmetic progressions, and the application of quadratic field theory to Diophantine equations. Contains over 600 problems.
Synopsis
The Fifth Edition of one of the standard works on number theory, written by internationally-recognized mathematicians. Chapters are relatively self-contained for greater flexibility. New features include expanded treatment of the binomial theorem, techniques of numerical calculation and a section on public key cryptography. Contains an outstanding set of problems.
Table of Contents
Divisibility.
Congruences.
Quadratic Reciprocity.
Some Functions of Number Theory.
Some Diophantine Equations.
Farey Fractions and Irrational Numbers.
Simple Continued Fractions.
Elementary Remarks on the Distributions of Primes.
Algebraic Numbers.
The Partition Function.
The Density of Sequences of Integers.
Special Topics.
Prime Numbers Less Than 2000.
General References.
Answers to Problems.
Index.