MAT 223 1.0 Basics of Number Theory

Course:  MAT 223 1.0 Basics of Number Theory (Compulsory)

Course Content:

Natural Numbers, Well-Ordering Principle, Principle of Mathematical Induction, Divisibility and Greatest Common Divisor. Division Algorithm and its applications, Euclidean Algorithm, Diophantine Equations, Primes and Distribution of Primes, Fundamental Theorem of Arithmetic, Congruence relations, Basic properties of congruence’s and applications,

Recommend Readings:

1. Burton, D.M.(2010). Elementary Number theory.(7^th ed.). McGraw-Hill.
2. Koshy,T.(2007).Elementary Number Theory with Applications.(2^nd ed.).Harcourt/Academic  Press.
3. Andrews,G.(1994).Number Theory.(2^nd ed.). Dover Publications.
4. Ore, O. (1988). Number Theory and Its History. Dover Publications.
5. Stillwell, J.(2003).Elements of Number Theory.(1^st ed.).Springer.