MA8551 Notes Algebra and Number Theory Regulation 2017

MA8551 Notes ALGEBRA AND NUMBER THEORY

MA8551 Notes ALGEBRA AND NUMBER THEORY Regulation 2017 Anna University free download. ALGEBRA AND NUMBER THEORY Notes MA8551 pdf free download.

OBJECTIVES: MA8551 Notes ALGEBRA AND NUMBER THEORY

 To introduce the basic notions of groups, rings, fields which will then be used to solve related problems.
 To introduce and apply the concepts of rings, finite fields and polynomials.
 To understand the basic concepts in number theory
 To examine the key questions in the Theory of Numbers.
 To give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.

OUTCOMES: MA8551 Notes ALGEBRA AND NUMBER THEORY

Upon successful completion of the course, students should be able to:
 Apply the basic notions of groups, rings, fields which will then be used to solve related problems.
 Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts.
 Demonstrate accurate and efficient use of advanced algebraic techniques.
 Demonstrate their mastery by solving non – trivial problems related to the concepts, and by proving simple theorems about the, statements proven by the text.
 Apply integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.

TEXTBOOKS: MA8551 Notes ALGEBRA AND NUMBER THEORY

1. Grimaldi, R.P and Ramana, B.V., “Discrete and Combinatorial Mathematics”, Pearson Education, 5th Edition, New Delhi, 2007.
2. Koshy, T., ―Elementary Number Theory with Applications‖, Elsevier Publications, New Delhi, 2002.

REFERENCES: MA8551 Notes ALGEBRA AND NUMBER THEORY

1. Lidl, R. and Pitz, G, “Applied Abstract Algebra”, Springer Verlag, New Delhi, 2nd Edition, 2006.
2. Niven, I., Zuckerman.H.S., and Montgomery, H.L., ―An Introduction to Theory of Numbers‖, John Wiley and Sons , Singapore, 2004.
3. San Ling and Chaoping Xing, ―Coding Theory – A first Course‖, Cambridge Publications, Cambridge, 2004.