نظرية الأعداد Number Theory.. - iugaza1

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Lecture 1: Divisibility Theory in the Integers

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00:41:21

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Lecture 2: Divisibility Theory in the Integers greatest Common Divisor -1

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00:48:03

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Lecture 3: Divisibility Theory in the Integers greatest Common Divisor - 2

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00:49:15

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Lecture 4: Divisibility Theory in the Integers Euclidean Algorithm

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00:51:12

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Lecture 5: Divisibility Theory in the Integers Diophantine Equation ax + by = c

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00:55:19

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Lecture 6: Primes & Their Distribution Fundamental Theorem of Arithmetic

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00:42:16

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Lecture 7: Discussion For Divisibility Theory in the Integers

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00:39:09

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Lecture 8: Some Properties of Prime Numbers

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00:41:00

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Lecture 9: Some Properties of Prime Numbers and Basic Properties of Congruence's

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00:41:49

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Lecture 10: Discussion Primes and their Distributions

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00:50:22

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Lecture 11: The Theory of Congruence Basic Properties of Congruence and complete residue system

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00:45:16

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Lecture 12: The Theory of Congruence Binary and Decimal Representation of Integers

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00:42:20

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Lecture 13: The Theory of Congruence Decimal Representation of Integers and Linear Congruence

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00:47:57

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Lecture 14: The Theory of Congruence Linear Congruence and The Chinese Remainder Theorem

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01:02:00

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Lecture 15: The Theory of Congruence - 1 Discussion

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00:48:47

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Lecture 16: System of Linear Congruity at two Variables and Fermat Little Theorem

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00:37:24

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Lecture 17: Fermat's Little Theorem and Wilsons Theorem

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00:39:17

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Lecture 18: Discussion Linear Congruence and The Chinese Remainder Theorem

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01:08:14

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Lecture 19: Quadratic Congruence, The sum and The Number of Divisors

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00:47:50

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Lecture 20: The sum Of Divisors and The Number of Divisors

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00:46:50

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Lecture 21: The sum Of Divisors and The Number of Divisors- 2

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00:43:41

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Lecture 22: The Mobius Inversion Formula

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00:45:20

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Lecture 23: Euler's Phi - Function

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00:41:41

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Lecture 24: Euler's Theorem

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00:43:01

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Lecture 25: Some Properties Of The Phi - Function

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00:50:37

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Lecture 27: Discussion Of The Sum & Number Of Divisors The Mobius Inversion Formula

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01:23:57

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lecture 28: The Grental Integer Function

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00:44:20

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Lecture 29: Number Of Special Form Perfect Numbers

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00:46:37

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Lecture 30: Mersenne Numbers

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00:40:14

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Lecture 31: Fermat Primes -The Order of an Integer Modulo n-1

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00:52:03

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Lecture 32: Fermat Primes -The Order of an Integer Modulo n-2

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00:34:15

Lecture 33: Primitive Roots

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01:03:36

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Lecture 34: Primitive Roots For Primes

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00:47:03

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Lecture 35: Discussion - Perfect Numbers & Mersenne Primes

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00:42:31

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Lecture 36: Discussion - Euler's Phi - Function & Theorem - 1

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01:40:44

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Lecture 37: Discussion - Euler's Phi - Function & Theorem - 2

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00:57:37

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Lecture 26: Discussion - Fermat's Little Theorem and Wilsons Theorem

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01:19:52

Lecture 33: Primitive Roots

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