Elementary number theory

By: Burton, David MMaterial type: TextTextSeries: International series in pure and applied mathematicsPublication details: Boston : McGraw-Hill, ©2002Edition: 5th edDescription: xv, 411 pages : illustrationsISBN: 9780072325690; 0072325690 ; 9780071121743; 0071121749 Subject(s): Number theoryDDC classification: 512.72
Contents:
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.
Summary: 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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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.


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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