Unfortunately when the book writing took place the use of LaTeX was not yet spread so that all the almost 2500 pages were hand-written and manually typed by our Department Secretary. The Editors composed the book in a different electronic typing and it was printed just at the time when TeX and LaTeX became the scientific standard. For this reason revised and updated editions could not be easily produced, the typewriting in LaTex of the full manuscript being a gigantic, almost impossible work. Recently one of the authors (L.Castellani) has managed to obtain a LaTeX version of the first volume.

It covers the geometrical foundations of supersymmetric gauge theories and supergravities. In particular it discusses the geometry of homogeneous spaces G/H, the theories os super Lie Algebras, and the foundations of the rheonomic approach.