Elementary number theory

by Burton, David M.

Type Book
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The purpose of the present volume is to give a simple account of classical number theory, and to impart some of the historical background in which the subject evolved. Although primarily intended for use as a textbook in a one-semester course at the undergraduate level, it is designed to be used in teachers' institutes or as supplementary reading in mathematics survey courses. The work is well suited for prospective secondary school teachers for whom a little familiarity with number theory may …

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Title Statements

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

Summary

The purpose of the present volume is to give a simple account of classical number theory, and to impart some of the historical background in which the subject evolved. Although primarily intended for use as a textbook in a one-semester course at the undergraduate level, it is designed to be used in teachers' institutes or as supplementary reading in mathematics survey courses. The work is well suited for prospective secondary school teachers for whom a little familiarity with number theory may be particularly helpful.-Pref.

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Edition Statements

  • Publication Date:2003.

Publication Statements

Notes

Originally published: Boston : McGraw-Hill, ©2002. 5th ed.

The Physical Object

  • Description:1 audio disc ; : 4 3/4 in.

Edition Identifiers

  • oclc:ocm53398576
  • Dewey Decimal:512.72

Table of Contents

Some preliminary considerations -- Divisibility theory in the integers -- Primes and their distribution -- Theory of congruences -- Fermat's theorem -- Number-theoretic functions -- Euler's generalization of Fermat's theorem -- Primitive roots and indices -- Quadratic reciprocity law -- Perfect numbers -- Fermat conjecture -- Representation of integers as sums of squares -- Fibonacci numbers -- Continued fractions -- Some twentieth-century developments -- Miscellaneous problems.

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