Course: MAT 352 2.0 Number Theory (Compulsory)
Course Content:
Sets of numbers and irrational numbers, Well ordering principle and Principle of mathematical induction; Divisibility properties, Division algorithm, Euclidean algorithm, Primes and their distribution, Theory of congruences, Chinese Remainder Theorem, Application of congruence’s, Fermat’s little theorem; Wilson’s theorem; Arithmetic functions, Euler’s theorem, Fibonacci and Lucas sequences, finite Continued Fractions, Infinite continued fractions, Some Diophantine equations (nonlinear).
Recommend Readings:
- David M. Burton, Elementary number theory, Tata McGraw-Hill Edition, 2006
- Ramanujachary Kumanduri-Cristino Romero, Number Theory with computer applications, Prentice-Hall, Inc. 1998
- H.Hardy, E.M.Wright, An introduction to the theory of numbers, The Clarendon Press Oxford University Press , 1979