Whether or not it's worth investing in, the math behind Bitcoin is an elegant solution to some complex problems.
The reason it's so hard for most people to understand Bitcoin is that most people don't really understand money.
Money isn't wealth. It's an accounting system used to facilitate the exchange of wealth. (The paradox of money is that while everyone wants it, no one actually wants it - they want the stuff they can buy with it!)
Many people are put off by the fact that Bitcoins are 'just data'. But that's what ALL money is, information! More precisely, money is a means for credibly conveying information about value given but not yet received (or at least not yet received in a form in which it can directly satisfy a person's wants or needs).
To put it yet another way, money is a ledger. With fiat currencies like the dollar, that ledger is centralized. And that gives the central authority responsible for maintaining that ledger tremendous power, power that history has proven will inevitably be abused.
With Bitcoin, the ledger is decentralized. And that means that no one individual or entity has the power to arbitrarily create new units (thereby causing inflation), freeze (or seize) your account, or block a particular payment from being processed.
We've had decentralized money before. After all, no one can simply print new gold into existence. And the 'ledger' of gold is distributed because the physical gold itself (the 'accounting entries' in the metaphor) is distributed. But with gold, that decentralization comes at a heavy price (literally). The physical nature of gold makes it hugely inefficient for global transactions.
This is why people are excited about bitcoin, it has the potential to be completely revolutionize money payment from being processed. We've had decentralized money before. After all, no one can simply print new gold into existence.
And the 'ledger' of gold is distributed because the physical gold itself (the 'accounting entries' in the metaphor) is distributed. But with gold, that decentralization comes at a heavy price (literally). The physical nature of gold makes it hugely inefficient for global transactions.
