01 - Remove the beef rib roast from the refrigerator 1 hour before cooking to allow even cooking.
02 - Set the oven to 430°F to ensure it is hot enough for initial roasting.
03 - Combine kosher salt, black pepper, rosemary, thyme, garlic, and olive oil in a small bowl to form a paste.
04 - Pat the beef dry with paper towels and evenly rub the seasoning paste over all sides of the roast.
05 - Place carrots, onions, and celery in a roasting pan to create a vegetable bed. Position the roast bone-side down on top of the vegetables.
06 - Roast uncovered at 430°F for 20 minutes to develop a crust.
07 - Lower the oven to 325°F and roast for approximately 1 hour 30 minutes, or until an internal temperature of 130°F is reached for medium-rare doneness.
08 - Remove the roast from the oven and tent loosely with foil. Let it rest for at least 20 minutes to retain juices.
09 - Carve the roast between the bones and serve alongside the roasted vegetables and preferred accompaniments.