Final answer:
The restricted area of a university library where books must stay on premises is referred to as the special collections room or archive. These areas house non-circulating items of special value or fragility, and usage often requires following specific protocols.
Step-by-step explanation:
The restricted area of a university library where you can read books but not borrow them is commonly referred to as a special collections room or an archive. In these areas, special policies often apply due to the rarity, age, or condition of materials. Items within special collections or archives are typically non-circulating, which means they cannot be checked out and must be used within the library's premises. Access may require prior arrangement or permission, and care must be taken when handling materials, sometimes even requiring researchers to wear gloves.
Many university libraries support students in their academic endeavors by providing services such as interlibrary loans (ILL) for resources not available in their own collections. Experienced librarians can guide students through the process of using interlibrary loans to access needed materials.