Whilst you are in Tirgu Mures the one thing you must see is the Teleky Library. The Library is a vast collection (only a small amount of which is on  show), of volumes , (some completely unique), on a wide range of subjects from Religion to Science and Mathematics. Books dating from the late middle ages are on show as well as a range of fascinating portraits of the library's founders and patrons. The books with woodcut illustrations especially are wonderful. The library was established by the Hungarian born noble, Count Teleky and is still a thriving seat of learning now. There is also a small exhibition on site devoted to a famous Romanian mathematician who was heavily involved in the development of Non Euclidean Geometry. Interesting.