This is a course I was looking for building up my basics. The course is well layout and well explained. I am so happy I joined for this course and thank you coursera for providing me this wonderful opportunity to learn.

A​ wonderful course!! There're plenty of beautiful lessons on how mathematics can solve the world problems by thinking. As a bonus, there'is insight about communication. And the Professor is very generous and humorous.

A detailed and thorough course presented in an understandable fashion. It helps you develop critical thinking and problem solving skills by getting you to think in different ways as a mathematician. Highly recommended.

I found this course a great refresher and it helped me fill a lot of gaps that had developed in my ability to understand advanced mathematics. The course helped me move faster with my study of ML and AI algorithms.

This course really helped me notice the subtleties of simple mathematical things in nature and even in daily life which we take for granted or assume to be true. This was my first course and it was a good decision

A fantastic course , professor Keith was extraordinary , I am currently pursuing my Bsc. in Mathematics and this is one course that I recommend for all the students who see their future in fields of mathematics

E​xcellent Course. It's very well structured and I feel like learn a lot about "Mathematical Thinking" and hence have more confident in learning more advance Mathematical Materials. Thanks very much Professor!

This was a really good course, making you "think" in general and in particular about mathematical proofs. The professor's exposition was outstanding. The explanation of evaluation of proofs was really nice.

I wish I had a class like this in high school. It would have been a great class between algebra and calculus. Should be required for every high school student. I plan on reviewing this class many times.

Somewhat stressful and difficult to complete. But worth the effort in the end. It was time-consuming and it takes time to understand the matter. So not a good idea if you're in a rush, but great learning.

Exceptionally good course, one of the best online courses I've completed. Really feel that I have learnt some valuable skills, and more importantly a better way of thinking about mathematics. Many thanks.

This course was really useful. I learnt so much! I could appreciate why mathematics is such a beautiful subject by the end of this course. Definitely glad to have taken this course, and would recommend.

This is an excellent course, which provides insights into how mathematicians think about proofs. The exercises are not hard, but they do require careful thought. This is a well constructed course.

Top lecturer and top lecturers. Must admit, i had to work harder this time for it to really understand. Happy I took the energy to find again my passion for mathematics in a way i really enjoyed.

This is an amazing course if you want to start with advanced mathematics especially want to improve in proof writing. which is one of the most important skills required for a graduate program.

Started off fairly simple, but as you progress throughout the weeks, it gets challenging. This course has taught me critical thinking, and skills that can be applied to other subjects/modules

Great course! Highly recommend it to all my friends interested in math. Devlin is a talented teacher, not just a mathematician (as it usually happens with someone who happen to teach math).

I have to say I enjoyed the course and the reading materials. My advice would be to take the course it will make you think. It is a great refresher / introduction to mathematical thinking.

It is nice to see connections among mathematical theories, and this course it is very well designed to accomplish this. I highly recommend if you want to improve your mathematical skills.

i just had taken this course in the college and i don't understand a lot of things but after i started in the course a lot of thinking going to be more clear , thank you for this course .

With the help of this course, my grade for fundamental mathematics at school raised from C to A. Really thankful. This course truly helped me better understand the abstruse conceptions.

Great course to learn how to develop proofs and mathematical / logic arguments. The course very start seems too basic, but there are many interesting concepts being developed further.

We are still in the early days of MOOCS. Prof. Devlin Makes sure that you get the best possible education despite the limitations of the platform. You'll really learn something here.

One of the best online course i have ever taken. Thanks to Keith sir for explaining all the concepts so engagingly and in detail. Looking forward for course's like this on coursera.

This course actually changed my life. It gave me the courage to start studying mathematics at a university. Thank you so much, Dr. Keith Devlin and the team at Stanford University!