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822 Bewertungen

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291 Bewertungen

Learn the mathematics behind the Fibonacci numbers, the golden ratio, and how they are related. These topics are not usually taught in a typical math curriculum, yet contain many fascinating results that are still accessible to an advanced high school student.
The course culminates in an explanation of why the Fibonacci numbers appear unexpectedly in nature, such as the number of spirals in the head of a sunflower.
Download the lecture notes:
https://www.math.ust.hk/~machas/fibonacci.pdf
Watch the promotional video:
https://youtu.be/VWXeDFyB1hc...

BH

28. Okt. 2020

Great course concept for about one of the most intriguing concepts in the mathematical world, however I found it on the difficult side especially for those who find math as a challenging topic.

JR

12. Juli 2020

Someone has said that God created the integers; all the rest is the work of man. After seeing how the Fibonacci numbers play out in nature, I am not so sure about that. A very enjoyable course.

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von Susannah R

•8. Aug. 2019

This course gives a fascinating insight in the logic behind some of nature's beauty. It requires a lot of maths, far more than I did at school (A Level) many years ago. It is definitely aimed at keen maths students. I found that many of the examples in the videos and the model answers to the questions missed lots of steps that I needed. These logic jumps may be second nature to somebody regularly studying maths , but for the 'casual' MOOCer at home who thinks "Ooh! that looks interesting", it left me struggling.

von Víctor P V

•12. Aug. 2016

The theory explained and the exercises are not at the same level.

von Thilanka B V L

•13. Nov. 2020

This course is wonderfully composed to give you a good foundation to the Fibonaccci numbers. A basic knowledge in Algebra is sufficient to follow this course since much of the other required information are delivered during the lecture or as supplementary videos. The best thing about this course is how Professor Casnov step by step explains interesting details which when combines gives a beautiful meaning even towards the nature. Loved every minute of the lecture, and I highly recommend this course to anyone who is curious about this topic.

von CARLOS R A H

•12. Feb. 2021

Great course, as expected from Prof. Chaznov. This course was fun and very interesting. As an Informatics Engineer student, I thought I knew about Fibonacci numbers but wow, I really didn't. There's a whole more to it, and anyone can learn from it. The course is challenging, but fun as well. It takes a while to get used to prove a lot of identities by mathematical induction, with wasn't my favorite thing ever but after this course I think I've learned to like it, it's very satisfying. Looking forward to more math courses like this.

von Sasha W

•2. Aug. 2020

Very interesting course. By far the most interesting and challenging I have found so far in my preparation to go study maths at uni in a years time. Used some of my previous mathematical knowledge such as matrices and proof by induction, whilst pushing me to use them in different problems and derive new formulas and use new mathematical methods. Will definitely be talking about this on my personal statement!

von Dr. S V C

•30. Sep. 2020

I joined this course out of interest about the existence and visibility of Fibonacci sequence and the Golden Ratio in nature as also its connection with ancient Indian texts. Found this course very interesting. The instructor was very clear with the concepts and presented them very lucidly. Would recommend this course to those who want to understand the basics of Fibonacci Numbers and golden ratio.

von Tenzin W

•5. Feb. 2021

One of the best course ive taken so far. The assignments were fun to solve due to its challenging nature, cant deny the booklet of being extremely beneficial at such times. Overall, i had an interest on Fibonacci Numbers and after taking this course, it completely changed what i thought and how i thought about Fibonacci. Feeling lucky and grateful to have taken this course.

von Chelam

•5. Aug. 2020

This course is well explained. Interesting. Surprisingly takes less time to complete but consumes a lot of time to dwell deeper into it with proofs and their applications. I would like to repeat all the exercises and want to learn more about the topic, whenever I get a chance. It has opened new world to think. Thanks for the beautiful course.

von Nithin T S

•20. Okt. 2020

I had a great time going through this course. I highly recommend students to take up this course as it will change the very imaginative concept of mathematics. I also liked the mentor Mr.Jeffrey. He is so much interested and patient in taking classes. I really liked this course a lot. Thank you.

von Muhammad B A

•21. Apr. 2020

This is really a very wonderful course. This is the first course, I enrolled on Coursera and started it just as a fun course. But at the end, it is much more than my expectations. I learned a lot and revised many concepts. Thank you Professor Chasnov.

von K B

•24. Okt. 2016

In this course so far I have been able to see what different types of patterns are and I have been able to see what kind of counting ways there are. I have also learned that the Fibonacci Sequence is everywhere in nature so I really like this course.

von Kevin D

•10. Juni 2020

Very interesting and entertaining course. I have had many years of advance Math & Engineering courses, and had never covered the subject matter that was provided by this course.

Thanks to everyone that created and provided this course.

von Daniel A

•23. März 2020

Great material; both instructive and fun.

The exercises were just challenging enough to make me think, but achievable with some effort (with one exception so far (Catalan´s identity), but I´ll come back to that).

And a great instructor!!!!

von Patali T

•14. Dez. 2020

I really enjoyed this course! My wholehearted thanks go to Prof.Chasnov. What I really love about the course is you don't have to know a lot of algebra, even if you don't know from watching the lecture videos you can easily understand.

von Soham J

•27. Apr. 2019

This course is absolutely out of the world. It truly showed me how much I didn't know and how fascinating nature is. The best part is that anyone with basic understanding of algebra can take this course. I had a really fun time here.

von Jamal B

•16. Aug. 2020

Excellent professor who made a complex mathematical feat most enjoyable. Your step-by-step walking through, Professor Chasnov, and demonstrating that with examples made me wish I had you for Diff-EQ course in college. Thank you.

von Shabnam M

•5. Dez. 2020

It was one of the best course that I have taken online. The way the professor explains things are extraordinary and interesting. He made very good presentation and easy to understand with diagrams. Thanks professor.

von Ryan L

•28. Juni 2020

This class was very interesting and insightful. Being a high school student, some of the math was challenging. However, detailed explanations of each practice problems were provided, making it easier to follow along.

von Christine W

•12. Sep. 2020

Absolutely brilliant course. I was intimidated when I began but learned so much, due to the videos and comprehensive course notes, that I have passed and feel a great sense of achievement.

Thank you very much.

von SAUL E M R

•24. Apr. 2020

Phi is one of the most interesting numbers (1/7, Euler-Mascheroni, Euler number, pi). It is the number of recursions (geometrically, algebraically). The course deepens into interesting properties of phi.

von Bassel A H

•29. Okt. 2020

Great course concept for about one of the most intriguing concepts in the mathematical world, however I found it on the difficult side especially for those who find math as a challenging topic.

von Nilson R R

•18. Aug. 2019

Excellent exposition of a fascinating subject.

Very well organized, including a handout with the course material.

Many thanks to Prof. Chasnov and the HKUST for this worthwhile opportunity!

von Sahag S B

•3. Sep. 2020

this course made mathematics fun and I gained enlightened concerning how mathematics show up in nature, and how to interpret such scenes. I recommend to attend such courses-- Thank you

von MAHADEVAPPA H

•13. Juli 2020

It was a wonderful experience. I have learnt a lot more about Fibonacci numbers and the golden ratio during this course. I urge the professor to create more and more courses like this.

von David P L

•29. Sep. 2019

I really enjoyed this class. The video lectures were clear and fascinating, and the math assignments were well-chosen and reinforced learning of the material presented in the lectures.

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