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
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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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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
MA8551 ALGEBRA AND NUMBER THEORY Question Bank With Answers
MA8551 ALGEBRA AND NUMBER THEORY Question Bank With Answers – Download
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MA8551 ALGEBRA AND NUMBER THEORY 2 Mark Question With Answers
MA8551 ALGEBRA AND NUMBER THEORY 2 Mark Question With Answers – Download
MA8551 ALGEBRA AND NUMBER THEORY 16 Mark Question With Answers
MA8551 ALGEBRA AND NUMBER THEORY 16 Mark Question With Answers – Download
