Tuesday, April 28, 2015

What Really Is Mathematics?

Over the ages, Mathematics has been seen as a way of describing relationships between numbers and other measurable quantities. Most often, it is seen as a science that can express simple equations as well as interactions among the smallest particles and the farthest objects in the known universe - planet earth.
Truly, Mathematics allows scientists to communicate ideas using universally accepted terminology, it is truly the language of science; it a form of art, a different way of thinking, Mathematics is not all about proofs, conjectures, lemmas and every other form of 'mathematical laws'. It is about seeing the beauty in the world through it's microscope.
Have you ever imagined how beautiful the world is? From patterns of 7's (7 days makes a week) to patterns of 12's down to 24's and so on, Mathematics has interconnected nature, this is a scientific idea, it is the artistic beauty of nature as expressed fortunately, by what others claim is  a scientific branch of knowledge.
We benefit from the results of mathematics research everyday. The fiber-optic network carrying our telephone conversation was designed with the help of mathematics, our computers are the result of millions of hours of mathematical analysis, Weather prediction, the design of fuel-efficient automobiles and airplanes, traffic control and medical imaging all depend upon mathematical analysis and that is all we see the subject as, a tool scientist use; not as an art that exists naturally.

Mathematics is a beautiful subject. Beauties, which over the years due to negligence and less-of-paying-attention has almost gone extinct. Most people (most of us) has seen nature as a 'thing' that exists only because 'the scientists' says its because 'A and B combined to give us C'. We have forsaken the fact that its a 'let there be' that made it so. A fact that is closer to the arts, than it is to the sciences. The 'Let There Be' of nature is extraordinarily full of beauty, neglecting the fact that 1 + 1 = 2 but not denying the truth of it.

Having spent most of my life using mathematics, I am still conscious of the fact that I do not understand much of the notation used by mathematicians. And even when I feel that I understand a type of notation, I still ask myself “Do I really understand its meaning?”. For instance, I was very familiar with the fact that  i =√−1, not until i found out that there is something like i raised to the power of i which is pretty much a very complex fact to comprehend.  This hole in my knowledge makes me feel uncomfortable, but I suppose it is reassuring to learn that some of our greatest mathematicians have had problems understanding some of their own inventions.
As much as Mathematics is a very beautiful subject, in it's attempt to make the world we live in  a predictable and a better place, it became much more complex. This complexity has made the statement 'Maths is not my thing' or 'I was not born to know maths' become a story, a slang or a common saying amidst us.
Forgetting to talk about the 'why' of vectors, differentiation, combinatorics, interpolation, vectorial calculus and other numerous branches of  mathematics is what makes it unclear, look unsolvable and very irritating.
There is no fun in just writing down numbers, memorizing theories, conjectures and formulas without knowing why or how it can be of use.


Mathematics is not a fairy tale, but when we begin to see it as one, then we'll begin to think like the great Aristotle, Euler, Fermat, Newton and so many numerous others.

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