返回到 Fibonacci Numbers and the Golden Ratio

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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....

Aug 18, 2019

Excellent exposition of a fascinating subject.\n\nVery well organized, including a handout with the course material.\n\nMany thanks to Prof. Chasnov and the HKUST for this worthwhile opportunity!

Mar 16, 2017

Finally I studied the Fibonacci sequence and the golden spiral. I used to say: one day I will.\n\nVery interesting course and made simple by the teacher in spite of the challenging topics

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創建者 Morena V

•Jun 19, 2017

Very diverse and interesting course. Lot's of fields in mathematics are discussed. Very nice assignments and super cool teacher.

創建者 Tumul K

•Jul 04, 2017

A thoroughly enjoyable course, a bit too fast paced and quite difficult some times, but the overall course is quite exciting.

創建者 Anna A P

•Oct 12, 2019

Corso molto interessante, il professore molto chiaro. Per i prossimi corsi potete inserire i sottotitoli in italiano? Grazie

創建者 Nojus J

•Aug 04, 2019

I really loved this course. Amazing mathematics that was taught very well and also helped me build my mathematical skills.

創建者 Slavica P

•Mar 10, 2018

Very good course... I was expecting more applications in nature and art after maths being made ... so I suggest adding it.

創建者 唐海涛

•Aug 06, 2017

This is a fantistic topic and I learned a lot from the course!The mode can encourage me to accomplish the homework timely.

創建者 Shafa S K

•Jun 28, 2019

This course is indeed perfect for cooling down my brains after burning for so long in classes and my laziness :))

創建者 Christophe S

•Apr 29, 2019

Thanks for this wonderful course, Jeff. Those Fibonacci are amazing. I hope you will give us even more MOOCs.

創建者 Fiona S

•Mar 06, 2018

I fear maths but this was a really interesting course and very well explained. I'm a little less scared now.

創建者 Lars O

•Feb 15, 2020

Fun course and very interesting. I would definitely take another course like this from Professor Chasnov.

創建者 Andrew M

•Jun 23, 2018

Very clear exposition, interesting and fun. Accessible to anyone interested in maths and patterns.

創建者 Chavah T

•Feb 13, 2018

Excellent! One of the best classes I've seen on Coursera. Very interesting and lots of fun.

創建者 Anurag O

•Aug 22, 2017

A great introduction to Fibonacci numbers and how they relate to the golden ratio.

創建者 Rahul C

•May 11, 2018

Awesome course, easy to follow along and for those who are inquisitive in nature.

創建者 Mohammed M

•Nov 10, 2019

Great explanations and proofs. I enjoyed the course more than i expected to. :)

創建者 JOHN Q

•Dec 19, 2016

discussed some stuff I've wondered about for several decades. thanks so much.

創建者 Jill M

•Apr 25, 2018

Excellent! Interesting, informative, clearly presented, and beautifully done!

創建者 Raquel N

•Sep 28, 2019

Really interesting course taught by a passionate teacher. I enjoyed it a lot!

創建者 Eric B

•May 31, 2017

Thanks for this course ! Merci pour ce cours instructif, agréable et complet.

創建者 Giuseppe M

•Nov 17, 2016

Great course to learn the secret of Fibonacci Numbers and the Golden Ratio!

創建者 Linda O

•May 13, 2018

The most fun I had in a long time! Thank you very much. Very interesting.

創建者 Nazzareno ( C

•Apr 19, 2018

I liked the introductory video and i look forward to complete this course

創建者 Chi L L

•May 13, 2018

The course is a fun one and do make me reflect on my on academic major.

創建者 EDILSON S S O J

•Nov 21, 2019

This course is Amazing!! Professor Jeffrey has the gift of teaching!!

創建者 Vidhya K

•Sep 08, 2019

Enjoyed it a lot. Learned a lot. Thank you for making this available.