Students wanting to do a PhD in economics are often told that math is important
here's why (and some important caveats) ...
Markets need to balance out on average, e.g. the total purchase of cotton must equal the total production of cotton by farmers.
There are thousands of such markets and they must all balance out! How does this happen?
It is not possible to keep track of all this without resorting to mathematics, which is a tool for imposing rules and logic that nature dictates must hold.
Then there are many practical economic problems that at their core are mathematical riddles.
It is a science that helps us understand how we are all connected in a mutually-reliant ecosystem
e.g. one person's supply is another person's demand ...
economics gives us insights into how we can design this ecosystem so we help each other become better off, or how we can screw things up in a mutually destructive manner
At its finest, economics is about making the sum bigger than its parts
perhaps contrary to some people's perception, some of the deepest insights of economics are about how selfish and individualistic behavior can be destructive for the broader society - precisely because we are all connected
One of the hardest questions is what makes societies change?
"functioning" societies take care of each other, develop trust, tend to work for the common good - and as a result become richer
"mis-functioning" societies seem to do everything in reverse - and as result remain poor
Both types of societies are stable, meaning they can go on like that for long periods of time
The obvious question is how can one change a mis-functioning society into a functioning one? How does change happen at the system level?
Obviously, no single answer here
But by construction, change will be hard - very hard.
Because the reason mis-functioning societies mis-function is that there are groups that are collectively in control, and they benefit from the mis-function
So change requires annoying these dudes, and they don't like that
One broad misconception about growth or development is that growth *requires* capital
That is not accurate: to first approximation, growth *creates* capital
some explanation ...
The most important ingredient, or requirement, for growth is productivity.
If productivity rises, firms and individual create a larger surplus that they can then deploy as capital, or investment, for even greater output.
This is the bottom line to keep in mind
Now, you might ask, but doesn't one need capital for boosting productivity?
Not really
Almost always, the constraints societies face have to do with organization, management, trust, rule of law, experimentation, institutions, innovation etc.