Burton, David M.

Elementary number theory / David M. Burton. - 7th ed., Indian edition - xii, 436 pages : illustrations ; 23 cm

"Indian Edition" on front cover.

Includes bibliographical references and index.

New to this edition -- Preliminaries -- Divisibility theory in the integers -- Primes and their distribution -- The theory of congruences -- Fermat's theorem -- Number-theoretic functions -- Euler's generalization of Fermat's theorem -- Primitive roots and indices -- The quadratic reciprocity law -- Introduction to cryptography -- Numbers of special form -- Certain nonlinear Diophantine equations -- Representations of integers as sums of squares -- Fibonacci numbers -- Continued fractions -- Some modern developments -- Miscellaneous problems -- Appendixes.

This text provides a simple account of classical number theory, as well as some of the historical background in which the subject evolved. It is intended for use in a one-semester, undergraduate number theory course.

College of Education Bachelor of Secondary Education major in Mathematics


Text in English

9781259025761 (pbk)


Number theory.

512.72 B95 2011