What Is Mass?

Despite reading all the popular accounts of the Higgs field that I can find, I'm afraid I still don't quite understand how it adds mass to the affected particles. But here's a way of thinking about it might be a little bit different than what we normally think. What is mass, after all? In modern physics, all of these particles come from fields. It's not just the Higgs boson that is a field. The electron and quarks are fields. And they're vibrations have different kinds of energy associated with them.