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Fibonacci Numbers and the Golden Ratio
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This Course Includes
coursera
4.8 (1.2K reviews )
9 hours 
english
Online - Self Paced
course
The Hong Kong University of Science and Technology
About Fibonacci Numbers and the Golden Ratio
Learn the mathematics behind the Fibonacci numbers, the golden ratio, and their relationship to each other. These topics may not be taught as part of a typical math curriculum, but they contain many fascinating results that are still accessible to an advanced high school student.
The course culminates in an exploration of the Fibonacci numbers appearing unexpectedly in nature, such as the number of spirals in the head of a sunflower. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/fibonacci.pdf Watch the promotional video: https://youtu.be/VWXeDFyB1hc
What You Will Learn?
- Fibonacci sequence and its relationship to the golden ratioFibonacci Q-matrix, Cassini's identity, sums of Fibonacci numbers Golden rectangle, golden spiral, Fibonacci spiralContinued fractions, golden angle, the most irrational number, and the Fibonacci numbers in nature.