These notes are in two part. One is “number theroy” and other one is “algebraric number theroy”. These notes are provided by Mr. Anwar Khan. We are very thankful to him for providing these notes.

Name | Number Theory: Notes |

Author | Anwar Khan |

Pages | 219 pages |

Format | PDF |

Size | 4.5 mB |

### CONTENTS OR SUMMARY:

Number Theory

Divisibility

Euclid’s Theorem

Base of Radix Representation

Common Division

Method of finding great common divisor

G.C.D. more than two integers

Least Common Multiple

The Linear Diophantine Equation

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Name | Algebraic Number Theory: Notes |

Author | Anwar Khan |

Pages | 110 pages |

Format | PDF |

Size | 2.8 mB |

### CONTENTS OR SUMMARY:

Algebraic Number Theory \dotfill 1

Diophantine Equation and Fermat’s Conjecture \dotfill 2

Polynomial over the Rational \dotfill 10

Degree of Polynomial \dotfill 10

Monic Polynomial

Division of Polynomial

Irreducible Polynomial

Division Algorithm

Greatest Common Divisor

Algebraic Number

Degree of Algebraic Number

Minimal Polynomial

Conjugates of an Algebraic Number

Primitive Polynomial

Product of Polynomial

Symmetric Polynomial

Alternative Statement

Primitive Element

Eisenstein’s Irreducibility Eriterion

Algebraic Integer

The Determinant

Euclidian Domain

Quadratic Field

Square Free Rational Integer

Prime

Ideal

Principal Ideal

Congruence of an Ideal

Norm f an Ideal

Decrement

Units and Primes in $\mathbb{R}$

Unique Factorization Domain

Arithmetic of an Ideal

Prime Ideal

Equivalent Ideal

Cyclotomic Field KP

Pure Cubic Field

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