The present volume colleets the review and contributed papers presented at the Europhysics Study Conferenee "Acere- tion Disks and Magnetie Fields in Astrophysies" held in Noto, Sicily, Italy, from 16 to 21 June 1988, under the High Patronage of the President of the Italian Republie and the 10ea1 patronage of the Cent ro di Studi Superiori e di Rieer- ehe (Center for Advaneed Study and Research), a seientific institution supported by the City of Nota and the Oniversity of Catania. The attendanee to the Conferenee was limited to about fifty seleeted partieipants from Canada, China, Denmark, Franee, Germany F.R., Italy, Japan, the Netherlands, Spain, Sl~itzerland. Onited Kingdom and Onited States, in order to give the meeting the character and appearance of areal lolorkshop, whose main aim was to highl ight a varied but same wh at uni fied picture of the interact ion, in di fferent astrophysical systems, of rotation, turbulenee and magnetism, with speeifie referenee to aeeretion disks.