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## Main Question or Discussion Point

https://www.physicsforums.com/showthread.php?t=466170

I'm currently trying to get better at math. I've decided to do research on every facet of mathematics, starting at the source: what is a number? And going from there, getting progressively more advanced.

Instead of just trying to memorize formulas or learn how to do problems from a math book, like in school, I want to focus on the WHY. Why do the formulas work? Why does this theorem work? etc.

I think if I understand the underlying logic, I will start to understand all aspects of math better.

I've broken math into the following main branches:

Algebra

Geometry

Statistics

Calculus

Number theory

Combinatorics

Topology

How would you define each of those branches?

I'm currently trying to get better at math. I've decided to do research on every facet of mathematics, starting at the source: what is a number? And going from there, getting progressively more advanced.

Instead of just trying to memorize formulas or learn how to do problems from a math book, like in school, I want to focus on the WHY. Why do the formulas work? Why does this theorem work? etc.

I think if I understand the underlying logic, I will start to understand all aspects of math better.

I've broken math into the following main branches:

Algebra

Geometry

Statistics

Calculus

Number theory

Combinatorics

Topology

How would you define each of those branches?