| The eminent mathematician Gauss, who is | | | | In this article, I aim to explain "Modular Arithmetic |
| considered as one of the greatest in history has | | | | (Congruences)" in such a simple way, that a |
| quoted "mathematics is the queen of sciences and | | | | common man with little math back ground can |
| number theory is the queen of mathematics." | | | | also understand it. |
| Several important discoveries of Elementary | | | | I supplement the lucid explanation with examples |
| Number Theory such as Fermat's little theorem, | | | | from everyday life. |
| Euler's theorem, the Chinese remainder theorem | | | | For students, who study Elementary Number |
| are based on simple arithmetic of remainders. | | | | Theory, in their under graduate or graduate |
| This arithmetic of remainders is called Modular | | | | courses, this article will serve as a simple |
| Arithmetic or Congruences. | | | | introduction. |