Favourite areas in mathematics

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Number theory, finite fields, and elliptic curves, and their application to cryptography and coding theory.

Stochastic processes and their application to mathematical finance.

Game theory

Graph theory

Mine was differential geometry and topology.

It's been so long since I really did much in math that I have forgotten so much of it that I wonder if it would even be possible to even think of getting back into it.

We have similar interests.

Algebra, arithmetic, calculus, geometry

These are my top 5 favourite subjects in maths

5: Precalculus

3 years ago I had lots of fun self-teaching myself precalculus. Whenever I see my old pre-calculus notes I feel nostalgic.
I don't really enjoy doing the problems, I enjoyed the experience which makes it number 5.

4: Calculus

3: Competition Maths

2: Real and Complex Analysis

1: Number Theory

I shall watch those lecture videos some time.

What is Competition Maths?

I am talking about mathematical olympiads in particular such as the International Mathematical Olympiad.

In mathematical olympiads students (usually 18 or younger) attempt to solve very difficult precalculus problems. These problems cannot be solved using traditional methods so one must have knowledge of projective geometry, complex geometry, functional equations and number theory.

Students are not required to know calculus but it does make certain problems easier.

Combinatorics, probability theory and computer algorithms from Donald Knuth

Differential Equations looks like it'll help bridge the gap between a real-world situation and a mathematical equation.

Probability is like a giant blind-spot for me, I haven't even taken statistics. The sequences and series part of calc ||| was disorienting.

If you like Maths at all(which u obviously do), you'll find Stats easy

I understand. For me, probability theory conforms to my world view. I am agnostic. Without substantial proof, there is no correct answer, only a good guess.

Here is a link to a series of lectures on complex analysis:

https://www.youtube.com/watch?v=rcypKcC ... 0GouL3-hd2

Theres a 300-level engineering statistics course somewhere in the future. I'm willing to bet they do more things with math that I hadn't imagined.

I think the problem I had with probability is the same problem I've had anywhere else, it's just plugging the math into the situation. Combinatoric math isn't too tricky, just have to remember that 0!=1 and the rest is algebra intuition.

Good luck with your studies, learning new things is great fun. I especially enjoy applying mathematics to everyday situations. Packing my groceries at the store is a fun challenge. Math and programming go hand in hand.

dynamics / chaos theory