LECTURE # 1|| CHAPTER # 2 THEORY OF PRIMES|| THE SIEVE OF ERATOSTHENES|| NUMBER THEORY|| B.S MATHS

Описание: This course is specially designed for students of B.S MATHEMATICS 4th semester of Punjab university Lahore Pakistan.
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COURSE: ELEMENTARY NUMBER THEORY||PUNJAB UNIVERSITY|| 4TH SEMESTER|| CODE 206
LEVEL: B.S MATHEMATICS
LECTURE # 1 THE SIEVE OF ERATOSTHENES
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In this lecture I shall discuss an algorithm to find number of primes in a given range that is called sieve of Eratosthenes.
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TO WATCH COMPLETE PLAY LIST OF NUMBER THEORY CLICK THE LINK BELOW
   • NUMBER THEORY by Professor Azmat Ali || BS...  
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COURSE CONTENTS
In this play list you can find the following contents
(1) L.C.M & H.C.F
(2) TESTS OF DIVISIBLITY
(3) STATEMENT AND PROOF OF EUCLID THEOREM OF DIVISIBLITY.
(4) THEOREM ON PROPERTIES OF DIVISIBILTY
(5) THEOREM ON L.C.M AND H.C.F
(6) LINEAR DIOPHANTINE EQUATION.
(7) NECESSARY AND SUFFICIENT CONDITION OF LINEAR DIOPHANTINE EQUATION TO BE SOLVABLE.
(8) PROBLEMS RELATED TO MATHEMATICAL INDUCTION.
(9) PENTAGONAL NUMBER.
(10 ) HOW TO FIND DAY OF THE WEEK.
(12) CONGRUENCY
(13) PROPERTIES OF CONGRUENCY
(14) THEOREM ON CONGRUENCE
(15) HOW TO FIND REMAINDER OF THE NUMBER BY USING CONGRUENCE RELATION.
(16) SOLUTION OF LINEAR CONGRUENCE
(17) CHINESE REMAINDER THEOREM
(18) PROBLEMS RELATED TO CHINESE
REMAINDER THEOREM.
(19) EUCLID THEOREM
(20) THE SIEVE OF ERATOSTHENES.
(21) PERFECT NUMBER, MERSENNE PRIMES, FERMAT NUMBERS.
(22) THEOREM RELATED TO PRIME NUMBERS
(23) MODULAR ARITHMETIC
(24) THEORY OF PRIMES
(25) ARITHMATICAL FUNCTIONS
(26) MULTIPLICATIVE FUNCTIONS
(27) CONGRUENCES POLYNOMIAL
(28) FACTOR THEOREM
(29) LAGRANGE'S THEOREM
(30) WILSON THEOREM
(31) SOLUTION OF POLYNOMIAL CONGRUENCES
(32) EULER FUNCTION
(33) EQUIVALENCE CLASS
(34) CONGRUENCE CLASS
(35) COMPLETE RESIDUE SYSTEM
(36) EULER PHI FUNCTION
(37) REDUCED RESIDUE SYSTEM
(38) FERMAT LITTLE THEOREM
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My lectures have equal importance for students of all universities of Pakistan, India, Bangladesh where universities are offering this course.
Specially my lecture may be very helpful for students of following universities of Pakistan
(1) LAHORE UNIVERISTY (2) PUNJAB UNIVERISTY (3) SARGODHA UNIVERISTY (4) FAST UNIVERISTY (5) VIRTUAL UNIVERISTY (6) BZU(BHAU DIN ZIKRIYA) UNIVERISTY (7) G.C UNIVERISTY (8) F.C COLLEGE UNIVERSITY (9) U.E.T (10) GUJRAT UNIVERSITY (11) PISHAWAR UNIVERSITY (12) SINDH UNIVERSITY (13) COMSAT (14) LUMS UNIVERSITY
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THIS VIDEO MAY BE HELPFUL FOR PAKISTANIS, INDIAN, BANGLADESIAN AND ALL THE MATHEMATICS STUEDENTS OF THE WORLS WHO KNOWN URDU LANGUAGE WELL.
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