• Tom M. Apostol
Part of the Undergraduate Texts in Mathematics book series (UTM)


Gauss introduced a remarkable notation which simplifies many problems concerning divisibility of integers. In so doing he created a new branch of number theory called the theory of congruences, the foundations of which are discussed in this chapter.


Residue Class Chinese Remainder Theorem Integer Coefficient Linear Congruence Complete Residue System 


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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • Tom M. Apostol
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

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