Number Theory

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8:33:10

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1 - Basics

2 - What is Number Theory.mp4

07:36

3 - Number Sets.mp4

08:50

4 - Number Patterns.mp4

10:00

5 - Even Odd Numbers.mp4

11:05

6 - Number Properties.mp4

09:47

7 - Proofs.mp4

11:23

2 - Number Bases

8 - Number Bases.mp4

11:33

9 - Binary Base.mp4

11:36

10 - Binary Arithmetics.mp4

15:18

11 - Hexadecimal Base.mp4

13:13

12 - Hexadecimal Arithmetics.mp4

14:18

12 - Hexadecimal-x-Table.pdf

3 - Factorials

13 - Factorial.mp4

05:01

14 - Double Factorial.mp4

08:47

15 - Superfactorial.mp4

02:32

16 - Exponential Factorial.mp4

02:42

17 - Factorion.mp4

05:22

18 - Stirlings Formula.mp4

03:20

19 - Number of Digits.mp4

02:38

4 - Divisibility

20 - Divisibility.mp4

07:01

21 - Divisibility Rules.mp4

04:21

21 - Divisibility-Rules.pdf

22 - Euclidean Division Theorem.mp4

08:26

23 - GCD LCM.mp4

10:33

24 - Bezouts Identity.mp4

07:42

25 - Perfect Numbers.mp4

03:41

26 - Practical Numbers.mp4

05:08

27 - Amicable Numbers.mp4

03:43

28 - Fibonacci Sequence.mp4

08:40

29 - Tribonacci Sequence.mp4

05:23

30 - Golden Ratio.mp4

10:42

5 - Primes

31 - Prime Numbers.mp4

08:56

32 - Fundamental Theorem of Arithmetics FTA.mp4

09:58

33 - Almost Primes.mp4

07:15

34 - Prime Powers.mp4

01:45

35 - Factorial Prime.mp4

02:59

36 - Euclids Theorems.mp4

08:47

37 - the Prime Number Theorem.mp4

03:48

38 - Unsolved Problems.mp4

06:18

39 - NumberEmpire.mp4

07:26

6 - Modular Arithmetics

40 - Modular Arithmetics.mp4

08:49

41 - Congruence.mp4

13:07

42 - Congruence Class.mp4

11:34

43 - Residue Systems.mp4

04:10

44 - Quadratic Residues.mp4

04:12

45 - Moduler Operations.mp4

06:10

46 - Inverses.mp4

06:58

47 - Modular Exponentiation.mp4

10:02

48 - Wilsons Theorem.mp4

05:09

49 - Chines Remainder Theorem.mp4

09:29

50 - Fermats Little Theorem.mp4

04:39

51 - Eulers Totient Function.mp4

06:46

52 - EulerFermat Theorem.mp4

03:47

7 - Continued Fractions

53 - Continued Fractions.mp4

08:19

54 - Negative Continued Fractions.mp4

10:52

55 - Finite Continued Fractions.mp4

14:05

56 - Infinite Continued Fractions.mp4

16:48

57 - Periodic Continued Fractions.mp4

09:32

58 - Convergent.mp4

11:58

8 - Cryptography

59 - Cryptography.mp4

08:46

60 - Early Ciphers.mp4

11:18

61 - Public Key Cryptography.mp4

12:32

62 - RSA Encryption.mp4

10:52

63 - DiffieHellman Protocol.mp4

04:28

9 - Extra

64 - Bonus Lecture.mp4

04:07

Introduction

1 - Introduction.mp4

07:08

Description

Explore, Learn and Master Fundamental Topics in Number Theory

What You'll Learn?

Have a thorough understanding of Number Theory.
Know different Numbers, Number Sets, Patterns, and Properties.
Know different Number Bases like Binary and Hexadecimal Base and how to do Arithmetics (+, -, x, ÷) in those bases.
Master Factorials, Double Factorials, Factorions, and many other related topics.
Master Divisibility, Divisibility Rules, Euclidean Division Theorem, and many other topics.
Learn Primes, Prime Powers, Factorial Primes, and Euclid's First Theorem.
Know what Fundamental Theorem of Arithmetic is.
Master Modular Arithmetics.
Learn about Finite, Infinite, and Periodic Continued Fractions.
Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption.

Who is this for?

Mathematics Computer Science, and IT Students

Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics.

What You Need to Know?

Know basic arithmetic operations like +, -, x and ÷ (including long division)

Know what is a matrix

More details

Description
WHATÂ ISÂ THISÂ COURSEÂ ABOUT?
Welcome to a course on Number Theory, better called â€œHigher Arithmeticsâ€ or â€œQueen of Mathematicsâ€. This course will guide you and enable you to master fundamental topics in Number Theory.Â Â Â
Number theory is the study of patterns, relationships, and properties of numbers. Studying numbers is a part theoretical and a part experimental, as mathematicians seek to discover fascinating and unexpected mathematical relationships and properties. In this course, you will explore some of those fascinating mathematical relationships and properties and you will learn essential topics that are in the heart of Mathematics, Computer Science, and many other disciplines.Â Â Â

YOU WILL ALSO GET:
Lifetime Access
Q&A section with support
Certificate of completion
30-day money-back guarantee

HOWÂ ISÂ ITÂ DELIVERED?
I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. The materials are delivered mostly through videos to make complex subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations or examples. The course is taught in plain English, away from cloudy, complicated mathematical jargons and that is to help the student learn the material rather than getting stuck with fancy words.Â Â Â

HOWÂ DOÂ IÂ LEARNÂ BETTER?
There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content.Â Â
Who this course is for:
Mathematics Computer Science, and IT Students
Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics.

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Number Theory

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