Number Theory and Cryptography
Number Theory and Cryptography, available at $39.99, has an average rating of 4, with 26 lectures, based on 23 reviews, and has 274 subscribers.
You will learn about Number Theory and Cryptography This course is ideal for individuals who are Students and IT Engineers interested in Cybersecurity and in learning how number theory is applied to cryptography. It is particularly useful for Students and IT Engineers interested in Cybersecurity and in learning how number theory is applied to cryptography.
Enroll now: Number Theory and Cryptography
Summary
Title: Number Theory and Cryptography
Price: $39.99
Average Rating: 4
Number of Lectures: 26
Number of Published Lectures: 26
Number of Curriculum Items: 26
Number of Published Curriculum Objects: 26
Original Price: $89.99
Quality Status: approved
Status: Live
What You Will Learn
- Number Theory and Cryptography
Who Should Attend
- Students and IT Engineers interested in Cybersecurity and in learning how number theory is applied to cryptography.
Target Audiences
- Students and IT Engineers interested in Cybersecurity and in learning how number theory is applied to cryptography.
This is an introductory undergraduate level course of number theory and cryptography. Roughly speaking, on the one hand, number theory is the mathematical branch that studies relations between integers. On the other hand, cryptography is the science of concealing messages and is one very active domain nowadays. All you need here is high school algebra and scientific maturity. Enjoy!
Course Curriculum
Chapter 1: Introduction
Lecture 1: Introduction
Lecture 2: Sets of numbers and roots of polynomials
Lecture 3: Number theory and Geometry : Lines
Lecture 4: Number theory and Geometry : The unit circle
Lecture 5: Number theory and Geometry : Hyperbolas
Lecture 6: Number theory and Geometry : Elliptic Curves
Lecture 7: Classical Encryption Schemes : The Caesar Cipher
Lecture 8: Classical Encryption Schemes : The Affine Ciphers
Lecture 9: Classical Encryption Schemes : The Vigenère Cipher
Chapter 2: Integers
Lecture 1: Induction
Lecture 2: Infinite descent of Fermat
Lecture 3: Prime numbers
Lecture 4: The Euclidean Algorithm and The Bézout Identity
Lecture 5: Congruences 1 (Part 1)
Lecture 6: Congruences 1 (Part 2)
Lecture 7: Congruences 1 (Part3)
Lecture 8: Fermat's little theorem (Part 1)
Lecture 9: Fermat's little theorem (Part 2)
Lecture 10: Euler the incredible genius I
Lecture 11: Euler the incredible genius II (Part I)
Lecture 12: Euler the incredible genius II (Part II)
Lecture 13: More on congruences : Cancellation and Linear equations
Lecture 14: Solving systems of linear congruences
Lecture 15: The famous Chinese Remainder Theorem
Lecture 16: Euler's theorem
Lecture 17: Euler's totient function
Instructors
-
Mohamed Atouani
Professor of Mathematics
Rating Distribution
- 1 stars: 1 votes
- 2 stars: 1 votes
- 3 stars: 3 votes
- 4 stars: 6 votes
- 5 stars: 12 votes
Frequently Asked Questions
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You can view and review the lecture materials indefinitely, like an on-demand channel.
Can I take my courses with me wherever I go?
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