The beauty of mathematics

As someone who loved mathematics and physics in my highschool years, I am writing this answer, however, I am mixing it up with physics although I am aware of the differences between them.

1. Using mathematics, you could calculate the motion of the heavenly bodies.

2. You could calculate the trajectory, velocity, speed, acceleration, and so on of a projectile,

Or a bullet

or a rocket

3. Watch this video. In mathematics you will find such exciting equations that explains so much about our universe.

4. In Mathematics, you will find Fibonacci series, which is even found in nature.

5. In Mathematics, there are so many fascinating theorems.

• Godel’s incompleteness theorem
  Without getting into the technical details, Gödel showed that in any formal system (such as a system of natural numbers), there are certain true statements about the system which cannot be proven by the system itself.
• Fermat’s theorem
  X to the power n + Y to the power n = Z to the power n.
• Brouwer’s theorem,
  This also works in three dimensions: imagine we have a glass of water, and we take a spoon and stir it up as much as we want. By Brouwer’s theorem, there will be at least one water molecule that is in the exact same place as it was before we started stirring.

6. Mindblowing equations

Isn’t it amazing that pi, which is a number ‘born’ out of a circle,

e, which is discovered by studying these

i, which is discovered by toying around with such imaginary diagrams-

, are related somehow?

Also do you know that this-

can be exactly described by -

this-

7. Cool diagram constructions

Newton applied his mathematical ingenuity to this-

and converted it to this-

8. Cool mathematical objects

9. Finally, to top it off, here are some pictures of some amazing mathematical visualizations, that I think lays bare the underlying pattern in nature, the beauty of mathematics, and may a hint towards the secrets of the universe.

The Mandelbrot set

f(x) = (x2−1)(x−2−i)2/x2+2+2i

I think mathematics speaks about the universe like no other language or field of study. What is the universe really? What even is thinking? What is logic and why is it such an innate part of our consciousness? How do we perceive the universe? Is the universe mathematical or is our mind projecting its nature onto the universe? If it’s the latter, then what is the mind?

Although I am a medical student, mathematics never fails to make me wonder about the nature of the universe and our place in it. I was never good at maths in school, was never a quick calculator, or a number cruncher or a math whiz, but still, I find it beautiful in a spiritual way. To look at mathematics and it’s infinite numbers, to see the emergence of beautiful patterns after patterns from pure thought and abstraction alone, for me is an experience akin to looking at the infinite stars in the sky. I like to believe that there is an abstract mathematical universe, and our abstract thinking is simply an exploration of this alternate universe. Just like astronomers can use a telescope and explore the outer universe, mathematicians I think have unlocked this inner world from which they discover mathematical objects and patterns like an archeologist discovering artifacts, and help to unlock the secrets of the world that we live in.