A monograph on Barbilian spaces including a short historical perspective and recent results, some of which are original. Boskoff (mathematics, Institute for basic Research, Monteroduni, Italy) covers projective and hyperbolic geometry; Barbilian spaces and S-Barbilian spaces; special Barbilian spaces and the Tzitzeica Configuration; geodesics in Barbilian spaces; Lagrangean structures, convex geometry, and natural Barbilian spaces; and Riemannian structure for natural Barbilian spaces. Annotation c. by Book News, Inc., Portland, Or.