Download Now [PDF] 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 Download

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ALGEBRA AND NUMBER THEORY Lecture Notes Download

ALGEBRA AND NUMBER THEORY  Important 16 marks question with answers

MA8551 ALGEBRA AND NUMBER THEORY Important 2 Marks Question with answers

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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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ALGEBRA AND NUMBER THEORY Lecture Notes Download

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MA8551 ALGEBRA AND NUMBER THEORY Books Download

Download (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 – Download (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 Lecture Notes Collection

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

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MA8551 ALGEBRA AND NUMBER THEORY Question Bank With Answers – Download

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