MODULE 1: MATHEMATICS IN OUR WORLD
WHAT IS MATHEMATICS:


The beautiful never lacks proportion
(PLATO)
If it contains the golden ratio (EUCLID)
THE GOLDEN RATIO IN MATHEMATICS IS:

𝟏+√𝟓
𝟐
GOLDEN RATIO:



In Mathematics and the arts, two
quantities are in the golden ratio if the
ratio between the sum of those
quantities and the larger one is the
same as the ratio between the larger
one and the smaller one.
Value of golden ratio: 1.618033
𝒂+𝒃
𝒂
=
𝒂
𝒃
𝝋
FIBONNACI SEQUENCE:


The sequence begins with zero, each
subsequent number is the sum of the
two preceding numbers.
𝒇(𝒏) = 𝒇(𝒏 − 𝟏) + 𝒇(𝒏 − 𝟐)
FIBONACCI SPIRAL:

Constructed by placing together
rectangles of relative side lengths
equaling Fibonacci numbers.