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MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes Download

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ALGEBRA AND NUMBER THEORY Lecture Notes Download

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MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes Download	MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes Download
Department	Computer Science Engineering
Year	3rd Year
Semester	5th Semester
University	Anna University
Regulation	R2017
Subject Code	MA8551
Subject Name	ALGEBRA AND NUMBER THEORY
Download File	MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

 

 

MA8551 ALGEBRA AND NUMBER THEORY Syllabus

UNIT I GROUPS AND RINGS
Groups : Definition – Properties – Homomorphism – Isomorphism – Cyclic groups – Cosets – Lagrange’s theorem. Rings: Definition – Sub rings – Integral domain – Field – Integer modulo n – Ring homomorphism.

UNIT II FINITE FIELDS AND POLYNOMIALS
Rings – Polynomial rings – Irreducible polynomials over finite fields – Factorization of polynomials over finite fields.

UNIT III DIVISIBILITY THEORY AND CANONICAL DECOMPOSITIONS
Division algorithm – Base – b representations – Number patterns – Prime and composite numbers – GCD – Euclidean algorithm – Fundamental theorem of arithmetic – LCM.

UNIT IV DIOPHANTINE EQUATIONS AND CONGRUENCES
Linear Diophantine equations – Congruence‘s – Linear Congruence‘s – Applications: Divisibility tests – Modular exponentiation-Chinese remainder theorem – 2 x 2 linear systems.

UNIT V CLASSICAL THEOREMS AND MULTIPLICATIVE FUNCTIONS
Wilson‘s theorem – Fermat‘s little theorem – Euler‘s theorem – Euler‘s Phi functions – Tau and Sigma functions.

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Download (MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank)

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MA8551 ALGEBRA AND NUMBER THEORY Lecture Notes Collection

MA8551 ALGEBRA AND NUMBER THEORY Notes ( UNIT 1 – UNIT 5) – Download

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