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The Mathematics of Cryptography with Dr James Grime

Teaching & Academics

Rating4.8
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The Mathematics of Cryptography with Dr James Grime, available at $74.99, has an average rating of 4.83, with 45 lectures, based on 229 reviews, and has 2261 subscribers.

You will learn about Understand the methods of classical cryptography such as monoalphabetic ciphers, polyalphabetic ciphers and transposition ciphers. Understand the mathematics of modular arithmetic. Understand and apply the methods of classical cryptanalysis such as the Kasiski Test and Friedman Test. Understand the Enigma Machine and the method used to break Enigma in World War II. Understand the mathematics of RSA internet encryption. This course is ideal for individuals who are Young people who want to see mathematics beyond the classroom. or Students who want to learn more about mathematics. or Non-mathematicians and the mathematically curious. or Anyone who wants to learn more about the maths and science of Enigma. or People who want to see the applications of mathematics. or Anyone who wants to learn more about classical and modern encryption. It is particularly useful for Young people who want to see mathematics beyond the classroom. or Students who want to learn more about mathematics. or Non-mathematicians and the mathematically curious. or Anyone who wants to learn more about the maths and science of Enigma. or People who want to see the applications of mathematics. or Anyone who wants to learn more about classical and modern encryption.

Enroll now: The Mathematics of Cryptography with Dr James Grime

Summary

Title: The Mathematics of Cryptography with Dr James Grime

Price: $74.99

Average Rating: 4.83

Number of Lectures: 45

Number of Published Lectures: 45

Number of Curriculum Items: 45

Number of Published Curriculum Objects: 45

Original Price: £19.99

Quality Status: approved

Status: Live

What You Will Learn

  • Understand the methods of classical cryptography such as monoalphabetic ciphers, polyalphabetic ciphers and transposition ciphers.
  • Understand the mathematics of modular arithmetic.
  • Understand and apply the methods of classical cryptanalysis such as the Kasiski Test and Friedman Test.
  • Understand the Enigma Machine and the method used to break Enigma in World War II.
  • Understand the mathematics of RSA internet encryption.

Who Should Attend

  • Young people who want to see mathematics beyond the classroom.
  • Students who want to learn more about mathematics.
  • Non-mathematicians and the mathematically curious.
  • Anyone who wants to learn more about the maths and science of Enigma.
  • People who want to see the applications of mathematics.
  • Anyone who wants to learn more about classical and modern encryption.

Target Audiences

  • Young people who want to see mathematics beyond the classroom.
  • Students who want to learn more about mathematics.
  • Non-mathematicians and the mathematically curious.
  • Anyone who wants to learn more about the maths and science of Enigma.
  • People who want to see the applications of mathematics.
  • Anyone who wants to learn more about classical and modern encryption.

Cryptography is the science of secrets and secret messages. In this course we will learn more about the mathematics behind codes and code breaking.

The course will start with easy ciphers and how they were broken, before moving to more sophisticated ciphers including the famous World War II Enigma machine and modern internet encryption.

The course contains over 6 hours of lectures, with an additional 2 hours of exercises and solution videos.

Topics covered in the course include:
Monoalphabetic ciphers;
Modular arithmetic;
Polyalphabetic ciphers;
The Enigma Machine; and
Public Key Cryptography.

During this course we will introduce many important mathematical concepts including modular arithmetic, sets, functions, probability, statistics, combinatorics and number theory.

Ciphers and techniques in the course include:
Substitution ciphers;
Transposition ciphers;
Commuting ciphers;
Frequency analysis;
The Vigenere cipher;
The Kasiski test;
Index of Coincidence;
The Friedman test;
Diffie-Hellman;
Elliptic curve cryptography;
RSA internet encryption; and
Digital signatures.

Finally, we will end the course with a brief look at the future of cryptography.

The course is intended to be self-contained and comes with a set of notes that you can complete as we go through the course.

The course comes with many exercises after each section, with solutions, that allow you to test what you have learnt.

Cryptography touches on a broad range of topics and is one of the most fascinating applications of maths. By the end of this short course, we will have introduced several fundamental ideas in mathematics, and even answer whether there such a thing as an unbreakable code.

Course Curriculum

Chapter 1: Welcome and Resources

Lecture 1: Welcome

Chapter 2: Introduction

Lecture 1: Introduction

Chapter 3: Monoalphabetic Ciphers

Lecture 1: The Caesar Shift and Monoalphabetic Ciphers

Lecture 2: Modular Arithmetic part 1

Lecture 3: Solutions: Modular Arithmetic 1

Lecture 4: Modular Arithmetic part 2

Lecture 5: Solutions: Modular Arithmetic 2

Lecture 6: Additive Ciphers

Lecture 7: Solutions: Additive Ciphers

Lecture 8: Common Divisors part 1

Lecture 9: Common Divisors part 2

Lecture 10: Solutions: Common divisors and Euclid's algorithm

Lecture 11: Multiplicative and Affine Ciphers

Lecture 12: Solutions: Multiplicative and Affine ciphers

Lecture 13: General Substitution Cipher

Lecture 14: Solutions: General substitution ciphers

Lecture 15: Frequency Analysis

Lecture 16: Solutions: Frequency analysis.

Lecture 17: Transposition Ciphers

Lecture 18: Commuting Ciphers

Chapter 4: Polyalphabetic Ciphers

Lecture 1: Vigenere Cipher

Lecture 2: Solutions: Vigenere ciphers

Lecture 3: Breaking Vigenere

Lecture 4: Probability

Lecture 5: Index of Coincidence

Lecture 6: The Friedman Test

Lecture 7: Solutions: Breaking Vigenere

Lecture 8: One Time Pad

Chapter 5: Enigma

Lecture 1: Enigma

Lecture 2: Combinations

Lecture 3: Enigma Settings

Lecture 4: Solutions: Enigma

Lecture 5: Breaking Enigma

Lecture 6: False Stops

Lecture 7: Solutions: Breaking Enigma

Chapter 6: Public Key Cryptography

Lecture 1: Diffie Hellman

Lecture 2: Solutions: Diffie Hellman

Lecture 3: RSA

Lecture 4: Fermat's Little Theorem

Lecture 5: RSA Decryption

Lecture 6: Solutions: RSA encryption and decryption

Lecture 7: Breaking RSA

Lecture 8: Solutions: Breaking RSA

Lecture 9: Signatures

Chapter 7: The Future

Lecture 1: The Future

Instructors

Rating Distribution

  • 1 stars: 2 votes
  • 2 stars: 0 votes
  • 3 stars: 11 votes
  • 4 stars: 46 votes
  • 5 stars: 170 votes

Frequently Asked Questions


How long do I have access to the course materials?


You can view and review the lecture materials indefinitely, like an on-demand channel.


Can I take my courses with me wherever I go?


Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!

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