Elementary number theory

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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.

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Title Statements

Full title :Elementary number theory / David M. Burton.

Summary

Edition Statements

Publication Date:©2002.
Edition:5th ed

Publication Statements

Publisher(s):McGraw-Hill
Place of Publication:Boston
Language:eng
Publication Date:©2002.

The Physical Object

Description:1 online resource (xv, 411 pages : : illustrations).

Edition Identifiers

oclc:on1341895667
LC Classification:QA241
Dewey Decimal:512/.72

Some preliminary considerations -- 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 -- Perfect numbers -- The Fermat conjecture -- Representation of integers as sums of squares -- Fibonacci numbers -- Continued fractions -- Some Twentieth-century developments.