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Mathematics of cryptography

Track :

Mathematics
Course Presenter :

Zach Star

Lessons no : 36

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Lessons | 36
Dear linear algebra students This is what matrices and matrix manipulation really look like
00:16:26

Dear linear algebra students This is what matrices and matrix manipulation really look like
An unexpected application of the harmonic series
00:07:20

An unexpected application of the harmonic series
Curves we mostly don t learn in high school and applications
00:14:00

Curves we mostly don t learn in high school and applications
The Poisoned Drinks Problem
00:08:32

The Poisoned Drinks Problem
The Lost Fisherman Problem What is the most efficient way back to shore
00:09:15

The Lost Fisherman Problem What is the most efficient way back to shore
Dear all calculus students This is why you re learning about optimization
00:16:34

Dear all calculus students This is why you re learning about optimization
When the FBI had too many fingerprints in storage The mathematics of image compression
00:14:19

When the FBI had too many fingerprints in storage The mathematics of image compression
Dear Calculus 2 Students This is why you re learning Taylor Series
00:12:36

Dear Calculus 2 Students This is why you re learning Taylor Series
The applications of eigenvectors and eigenvalues That thing you heard in Endgame has other uses
00:23:45

The applications of eigenvectors and eigenvalues That thing you heard in Endgame has other uses
How do complex numbers actually apply to control systems
00:16:43

How do complex numbers actually apply to control systems
The Mathematics of Signal Processing The z transform discrete signals and more
00:29:47

The Mathematics of Signal Processing The z transform discrete signals and more
The Applications of Matrices What I wish my teachers told me way earlier
00:25:16

The Applications of Matrices What I wish my teachers told me way earlier
The algorithm that started google
00:13:40

The algorithm that started google
A visibility problem how many guards are enough
00:13:35

A visibility problem how many guards are enough
The second most beautiful equation and its surprising applications
00:22:59

The second most beautiful equation and its surprising applications
The Mathematics of our Universe
00:22:53

The Mathematics of our Universe
This is how easy it is to manipulate public perception
00:23:36

This is how easy it is to manipulate public perception
The Friendship Paradox This is in your recommended because it relates to the spread of diseases
00:15:33

The Friendship Paradox This is in your recommended because it relates to the spread of diseases
When numbers don t tell the full story
00:14:46

When numbers don t tell the full story
The strange Mathematics of Game Theory Are optimal decisions also the most logical
00:15:08

The strange Mathematics of Game Theory Are optimal decisions also the most logical
What your teachers probably never told you about the parabola hyperbola and ellipse
00:13:15

What your teachers probably never told you about the parabola hyperbola and ellipse
How chance affects our lives way more than you think The mathematics of randomness
00:17:20

How chance affects our lives way more than you think The mathematics of randomness
Bayes Theorem and some of the mysteries it has solved
00:16:18

Bayes Theorem and some of the mysteries it has solved
The Mathematics Used to Solve Crime
00:15:58

The Mathematics Used to Solve Crime
This is How Easy It Is to Lie With Statistics
00:18:55

This is How Easy It Is to Lie With Statistics
Math and Physics of the Everyday
00:15:03

Math and Physics of the Everyday
The Mathematics of Cryptography
00:13:03

The Mathematics of Cryptography
Cryptography The Mathematics of RSA and the Diffie Hellman Protocol
00:09:19

Cryptography The Mathematics of RSA and the Diffie Hellman Protocol
The Mathematics of Symmetry
00:18:23

The Mathematics of Symmetry
The Real World Uses of Imaginary Numbers
00:16:49

The Real World Uses of Imaginary Numbers
The applications of non euclidean distance Metric Spaces
00:18:43

The applications of non euclidean distance Metric Spaces
These changed how I think about higher dimensions
00:18:54

These changed how I think about higher dimensions
The real world applications of the dot product
00:12:49

The real world applications of the dot product
This is why you re learning differential equations
00:18:36

This is why you re learning differential equations
Math and physics can show up when you least expect
00:07:49

Math and physics can show up when you least expect
Approximations The engineering way
00:13:49

Approximations The engineering way


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Mathematics of cryptography, in this course we will learn about the mathematical foundations that secure modern communication systems. From number theory and modular arithmetic to group theory and elliptic curves, this course dives deep into how mathematics forms the backbone of cryptographic algorithms like RSA, Diffie-Hellman, and ECC. You'll explore key techniques such as modular exponentiation, the Chinese Remainder Theorem, and discrete logarithms. The course also covers how randomness, probability, and complexity theory play a role in encryption and decryption processes. Whether you are interested in classic cryptographic methods or post-quantum algorithms, this course provides a comprehensive overview of the math behind securing data. By the end, you’ll be equipped to understand, analyze, and apply cryptographic systems using rigorous mathematical concepts. Let’s begin unlocking the science behind secure information. Zach Star