# Number Theory by Ms. Iqra Liaqat

Notes of number theory provided Ms. Iqra Liaqat is a very good addition in the MSc notes section. We are actually quite grateful to her for giving these notes and likes her encouragement to distribute these notes on MathCity.org

Name | Number Theory |
---|---|

Provided by | Ms. Iqra Liaqat |

Pages | 280 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 3.06 mB |

### Contents & Summary

In this section, the main heading are given below.

- Well ordering principle (WOP)
- Archimedian property
- Multiple
- Divisibility
- The floor function and ceiling function
- The division algorithm
- Div and mod operators
- Basic representation theorem
- Greatest common divisor
- Euclid's theorem
- Sieve of eratosthenes
- Twin primes
- Mersenn number
- Division algorithm
- Euclid's lemma

- Lease common multiple
- Greated common divisor
- Relation between GCD and LCM
- Linear Diophantine equation
- Congruences
- Linear congruence
- Continuous fraction
- Polynomial congruence
- Factor theorem
- Lagrange's theorem
- Euler's theorem
- Wilson's theorem