Cross product and curl in higher dimensions - notes for studentsNOTES FOR STUDENTS This book was written thinking to the students attending to scientific faculties, Engineering and Physics in particular. Instead of a single block, it could be considered as a collection of different works, all concerning the extension of cross product and curl in higher dimensions. Some parts are in English, some others in Italian: that is caused by the heterogeneity of the book, composed by texts written in different times and for