Course: MAT 352 2.0 Number Theory (Compulsory)
Course Content:
Theory of congruence and Some applications, Simultaneous linear congruence, Higher degree congruence, Order of integers, Primitive roots, Quadratic congruence, Quadratic residues, Legendre symbol, Jacobi symbol, Special Types of Diophantine Equations, Some Number Theoretic Functions, Irrational Numbers, Farey series, approximating irrationals, Continued Fractions: Finite continued fractions, Infinite continued fractions, Approximation by continued fractions, Pell’s equation; RSA algorithm, Gaussian Integers with applications, Sum of squares of integers, Sum of two squares, sum of three or four squares
Recommend Readings:
Niven and Zuckerman, An Introduction to Number Theory, David M. Burton, Elementary Number Theory.