The Tartu Art Museum shop has a great selection of art and design books, mostly covering Estonian artists. So if you're looking for a thoughtful souvenir for someone loving art and design - this is the place to go! Like every decent museum shop, it has curiosities, that you just can't leave behind, such as pins, posters, notebooks and such.
The colourful design of the shop will leave you inspired even if you leave empty-handed, but if you're the kind to get lost in bookstores, then make sure you set some time aside to properly look through the treasures introducing a fairly unknown world of Estonian art and design.