Food Network teaches how to crush, slice and mince garlic. Peel off some of the papery skin from the garlic and then smash the head of garlic with the heel of your hand to loosen the cloves; if you only need a few cloves, leave the head intact and pull some off. Separate the cloves. To peel a clove, cut away the root end with your knife. Lay the flat side of the knife over the clove while holding the knife handle, then with the heel of your free hand carefully whack the knife against the garlic to separate the skin from the clove. To crush the peeled garlic, lay the flat side of the knife over the clove and smash it again. To slice peeled garlic, lay the clove flat on the cutting board and hold it with the fingertips of one hand, keeping them curled under. Using a rocking motion with the knife, make thin slices by moving the knife slowly across the clove. To mince peeled garlic, lay the flat side of a knife over the clove and smash it. Roughly chop the clove then move your free hand flat across the tip of the knife and use a rocking motion to chop the garlic until it’s finely minced.
Pat ribs dry with paper towels and season with salt and pepper on all sides.
Heat 2 tablespoons of butter in a large Dutch oven over medium-high heat. Add the ribs and brown on all sides. Transfer the ribs to a plate, then add the garlic and stir until softened but not brown, about 1 minute. Carefully pour in the wine, bring to a boil and cook until reduced to about 1 cup. Add the ribs and any juices they have released back to the pot along with the stock. Reduce the heat and bring to a simmer, then cover the pot and transfer it to the oven, to braise, until the meat easily falls off the bone, about 3 hours.
Transfer the ribs to a plate and tent with foil to keep warm. Strain the braising liquid through a fine mesh sieve into a saucepan set over medium-high heat. Simmer the liquid, skimming fat as necessary, until thickened, about 10 minutes. Remove from the heat and whisk in the remaining 1 tablespoon of butter. Taste for seasoning and adjust, if necessary. Transfer the ribs and sauce to a serving dish and serve.