# Ideas for 3,000-word essay related to maths/economics/physics.

I have about a month and a half to finish writing an independent essay project on anything I want. I would like it to be related to maths/econ/physics, but currently I'm still stuck on a topic to hone in on, let alone a clear title. Some topics I have been considering to discuss so far:
- Chaos theory in maths.
- Game theory in economics/maths.
- Imaginary numbers and their applications in physics.
- Is Maths complete? (Answer is no!)
- Maths in Finance (e.g. stock market).
- Something more creative, like how can we use maths to create idea/object x.
Any more suggestions, or improvements to any of the things I have listed above would be really appreciated. Thanks!
If you want an essay that touches on all three, you could compare Brownian motion with the ups and downs of the stock market.

Useful terms to consider include geometric brownian motion and stochastic motion.
Original post by melancollege
If you want an essay that touches on all three, you could compare Brownian motion with the ups and downs of the stock market.
Useful terms to consider include geometric brownian motion and stochastic motion.

Wow that's really clever actually. So the title would be: how can we use geometric brownian motion to map out the stock market? Or something along those lines? Or is there a better title in your opinion....
Or: geometric brownian motion and the stock market (to be simple).
Original post by NotRike
Wow that's really clever actually. So the title would be: how can we use geometric brownian motion to map out the stock market? Or something along those lines? Or is there a better title in your opinion....

I'll be honest, I'm only a Maths student and I didn't do either of Economics or Physics. I do know that a lot of the people who worked on early quantitative Economics were physicists, though.

As a side-note, reading into Markov chains could also be useful and maybe the Black-Scholes model, but that may be too advanced.

There's a Veritasium video on it that may be a good starting point: https://www.youtube.com/watch?v=A5w-dEgIU1M
Original post by melancollege
I'll be honest, I'm only a Maths student and I didn't do either of Economics or Physics. I do know that a lot of the people who worked on early quantitative Economics were physicists, though.
As a side-note, reading into Markov chains could also be useful and maybe the Black-Scholes model, but that may be too advanced.
There's a Veritasium video on it that may be a good starting point: https://www.youtube.com/watch?v=A5w-dEgIU1M

I think I've already watched that lmao. Funny enough that was one of the things I was thinking about when it came to this in the first place )
why are numbers
does the 'economy' exist
should economists be shot if they fail to predict financial crises
what is the best number