返回到 Number Theory and Cryptography

4.5

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383 个评分

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79 条评论

We all learn numbers from the childhood. Some of us like to count, others hate it, but any person uses numbers everyday to buy things, pay for services, estimated time and necessary resources. People have been wondering about numbers’ properties for thousands of years. And for thousands of years it was more or less just a game that was only interesting for pure mathematicians. Famous 20th century mathematician G.H. Hardy once said “The Theory of Numbers has always been regarded as one of the most obviously useless branches of Pure Mathematics”. Just 30 years after his death, an algorithm for encryption of secret messages was developed using achievements of number theory. It was called RSA after the names of its authors, and its implementation is probably the most frequently used computer program in the word nowadays. Without it, nobody would be able to make secure payments over the internet, or even log in securely to e-mail and other personal services. In this short course, we will make the whole journey from the foundation to RSA in 4 weeks. By the end, you will be able to apply the basics of the number theory to encrypt and decrypt messages, and to break the code if one applies RSA carelessly. You will even pass a cryptographic quest!
As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students.
Do you have technical problems? Write to us: coursera@hse.ru...

Aug 01, 2020

I loved this course! It is unlike any I have taken before. All courses in this specialization have always included fun activities to make the taught content fun and understandable.

Nov 22, 2018

I was really impressed especially with the RSA portion of the course. It was really well explained, and the programming exercise was cleverly designed and implemented. Well done.

筛选依据：

创建者 Dhruv P

•May 03, 2020

The best!

创建者 Preetam K S

•Aug 03, 2020

Good one

创建者 Satyam K M

•Jun 01, 2020

good

创建者 Luis M V F

•Jan 11, 2020

In general, this course is much better than the previous 3, and I enjoyed all weeks but Week 4. I think Michael Levin should improve his explanations, and also try to give further examples about the algorithms he is talking about. I would say that it is worthy taking this course, but I really hope Week 4 can be improved.

创建者 Greg L

•Dec 11, 2017

Generally pretty good. Pretty easy level, and the maths is undemanding. Some imprecision in the wording of the tests, and a little too easy on the programming side, but well worthwhile if you still have some holes in your understanding of the principles of RSA encryption.

创建者 Stephen L

•May 11, 2018

The class was interesting but I felt it was difficult and not explained well...to do the modules I had to constantly go back and re-read the slides, re-watch the lectures. There weren't any examples, I feel it would have been helpful in order to grasp the material.

创建者 Md. A K

•May 07, 2020

The instructor tried their best to explain difficult topics like cryptography to make as easy as possible. For this, they really deserve great appreciation. It can be improved if they did not just read out the slides but explain them in some places.

创建者 Aren T

•Nov 20, 2019

Final week is a bit rushed, think it would have benefited from being one week longer.

Nevertheless, an excellent introduction to an extremely difficult and complex subject.

创建者 Stephen S

•Apr 18, 2020

Great introduction to number theory, with little to no assumed knowledge. Proceeds quite quickly, but remains relatively simple and introduces concepts well.

创建者 Gautham A N

•Dec 09, 2018

Amazing course, learnt a lot. The assignments were a bit difficult [ and time consuming ] but they helped me gain a better understanding of the concepts.

创建者 Ivan L F

•Apr 08, 2018

Good material and presentation from the professors. Programming exercises were a bit confusing at times. Overall, short but mathematically solid course.

创建者 ASHISH S

•Jul 06, 2020

It was a great course which helped me learn number theory and introduced me to Cryptography.

The teaching assistants could have been more active.

创建者 Alex Y

•Jan 17, 2019

Sometimes material is very dense. Watching in 1x speed multiple times advisable for some modules later in the course.

创建者 SUBHADEEP S

•Aug 04, 2020

The last week of the course makes everything else in the course so worth it! Had a great time doing this course!

创建者 Rick B

•Aug 14, 2020

Slide and instruction could use more concrete examples, but final project was excellent.

创建者 Tomáš N

•Apr 29, 2020

It was really slow in the beginning, but I loved the RSA Quest!

创建者 Ajit C B

•Nov 21, 2017

Great course, just felt that the last quiz was a bit redundant.

创建者 Abhinav B

•May 16, 2020

Some of the questions related to week6 did not behave properly

创建者 Nikhil Y

•May 12, 2020

a really starter for cryptography!!

创建者 Lionel L R Q

•Jul 10, 2020

The concepts taught are honestly pretty interesting and i enjoyed learning the content. However, there were some parts of the lesson that you wish an example would be given for clarity, e.g. explanation on RSA. Also, don't expect much help from the discussion forums by teaching staff as reply rate is slow. Lastly, debugging for the RSA codes are pretty limited, so do expect more time spent! Overall, still an insightful course for an introduction on Cryptography.

创建者 M. A

•Aug 11, 2020

The course was fun, the final assignment was really interesting. Python programming is mandatory for anyone who wants to succeed in this class. Nevertheless, I was hoping there is more mathematical discussion regarding cryptography. Some key elements, such as Diffie-Hellman key exchange and discrete logarithm problem are missing from this course. Anyway, it is still interesting though.

创建者 Pratyush A

•Jul 15, 2020

The course is good, the topics covered are nice. The problem is that they don't teach examples very well. The last few quizzes will be tough and it will be hard to complete the course if you don't have good coding skills. The topics are interesting, that's what made me stick to the course. Also the professor's accent is a little difficult to understand.

创建者 Matthew W

•Dec 02, 2017

The quiz from the RSA segment is a drag. The reason is that I don't see the implementation of the "given" functions and debugging via the text box provided is annoying. The first 3 segments are well prepared and have enough information for someone like me to pursuit this topic further.

创建者 Ingrid Z

•Jul 28, 2020

Last chapter was way too challenging compared to the previous ones. I had a really tough time with the assignments. Otherwise, a very nice course !

创建者 Shubham U

•Apr 29, 2020

The instructor sometimes rushed through the content.