Fibonacci Numbers and the Golden Ratio

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The Hong Kong University of Science and Technology

课程大纲

By the end of this week, you will be able to: 1) describe the origin of the Fibonacci sequence; 2) describe the origin of the golden ratio; 3) find the relationship between the Fibonacci sequence and the golden ratio, including derive Binet’s formula. Download the lecture notes, problems, and the professor's suggested solutions from http://bookboon.com/en/fibonacci-numbers-and-the-golden-ratio-ebook

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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.

斐波那契数和黄金比例:学习斐波那契数,黄金比例以及它们之间的关系的数学方法。这些主题通常不是在典型的数学课程中讲授的,而是包含许多令人着迷的结果,而高中生仍然可以获取。 该课程最终解释了为什么斐波那契数在自然界中会出乎意料地出现,例如向日葵头上的螺旋数。

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