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!

Jul 13, 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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創建者 Ng T E

•May 30, 2019

One of the many marvels of mathematics is that of the Fibonacci Numbers & the Golden Ratio.

Week 2 was somewhat challenging, but doable.

創建者 Massimo C

•Jan 17, 2019

Fascinating course about a topic that is not usually taught in maths lessons. It is easy to follow and it has good supporting material.

創建者 Christopher G

•Apr 10, 2020

Great course! Cool to see math in nature. Don't need too much mathematical background. This course helped piqued my interest in math.

創建者 Roy A A

•Apr 04, 2020

Got more information about fibonacci sequence and how it is connected to nature and much more... Maths is really fun and interesting.

創建者 Himanshu S

•Sep 13, 2016

Very intriguing and interesting lectures. These got me thinking and venture into Fibonacci numbers and a bit of sacred geometry too.

創建者 Vishal A

•Feb 28, 2020

A good course on an interesting topic. Instruction is clear, concise and simple. Many practice sums provided to reinforce learning.

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 Abdul H S

•May 23, 2020

Lovely course. Got to know interesting facts about Fibonacci numbers and their relations. The lecture notes are simply awesome.

創建者 Neha R

•May 29, 2020

Excellent course. I enjoyed every second of it. The prof. is great his explanations are very clear.

Thank you Prof. Jeffrey.

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 Kshitij T

•May 27, 2020

Ita was a very well curated course, which included equal participation of the instructor and the student. Was really fun

創建者 Mary E C

•Apr 02, 2020

Concepts were well explained and easy to understand. I enjoyed how the applications were woven together with the math

創建者 Laura G

•Jun 26, 2020

This is a fantastic, fun course. Professor Chasnov does a great job explaining the material. Highly recommended!

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 philip g

•Jun 12, 2020

Beautiful mathematics explained clearly and very well. I enjoyed the course very much and highly recommend it.

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 Omar E G C

•Jul 27, 2020

The course is very well structured, and is really helpful as an introductory course to geometry and algbera

創建者 Jose R F

•May 26, 2020

Nice course and very interesting knowing some little more about this incredible matter that is mathematics.

創建者 Phyllis H

•May 02, 2020

Very interesting and well presented course. It was, however, rather more difficult than I had anticipated

創建者 Lars O

•Feb 15, 2020

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