Congruence

Gauss first introduced the notion of congruence in Disquisitiones Arithmeticae (see Notes in Chapter 1). It is an extremely simple idea. Nevertheless, its importance and usefulness in number theory cannot be exaggerated. This chapter is devoted to an exposition of the simplest properties of congruen...

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Bibliographic Details
Published inA Classical Introduction to Modern Number Theory pp. 28 - 38
Main Authors Ireland, Kenneth, Rosen, Michael
Format Book Chapter
LanguageEnglish
Published New York, NY Springer New York 19.10.2012
SeriesGraduate Texts in Mathematics
Subjects
Arbitrary Commutative Ring
Chinese Remainder Theorem
Congruence Class
Congruence Modulo
Principal Ideal Domain
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ISBN9781441930941
1441930949
ISSN0072-5285
2197-5612
DOI10.1007/978-1-4757-2103-4_3

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Summary:Gauss first introduced the notion of congruence in Disquisitiones Arithmeticae (see Notes in Chapter 1). It is an extremely simple idea. Nevertheless, its importance and usefulness in number theory cannot be exaggerated. This chapter is devoted to an exposition of the simplest properties of congruence. In Chapter 4, we shall go into the subject in more depth.
ISBN:9781441930941
1441930949
ISSN:0072-5285
2197-5612
DOI:10.1007/978-1-4757-2103-4_3