Kirch A.M. Elementary Number Theory: A Computer Approach

London: Intext International Publishers, 1974. — 177 p.This remarkably lucid approach to number theory is well suited to anyone proceeding with pure mathematics beyond advanced level,whether in full time study or for general interest. Acess to a digital computer to run shory FORTRAN prorgams in a deal of additional benefit being derived from the text.
The presentation consists of a sequence 0f 28 problems ranging from such fundamentals as even and odd intesers, divisibility, l.c.m. and g.c.d. through linear diophantine equations, congruences, primes and quadratic residues to continued fractions and palindromic numbers. Each problem is carefully treated, giving essentials definitions and theorems. Then follow numerous exercises requiring modification, analysis and extension of the original algorithm.