In the summer this is a haven in the middle of the city. It is a public garden where I like to go and relax in the grass under a blooming tree. There is also a cafe and a shop here. Before you leave you should buy a bouqee of flowers (you pick yourself in the garden!).
A great art center in the industrial area of Lövholmen that presents a good selection of exhibitions every few months. Wonderful cafe and art/design store inside.