An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifol . . . . .

This book is a manual for the course of electrodynamics and theory of relativity. It is recommended primarily for students of mathematical departments. This defines its style: I use elements of vector . . . . .

Contenuto: I principi fisici della Relatività Speciale; I gruppi di Lorentz e di Poincaré; Lo spaziotempo della Relatività Speciale e la struttura causale; Cinematica in Relatività Speciale; . . . . .

Contents: Introduction; Curves; Gauss Curvature; Surfaces in E3; First Fundamental Form; Second Fundamental Form; The Gauss Curvature in Detail; Geodesics; The Curvature Tensor and the Theorema Egregi . . . . .

Multi-Linear Algebra and Tensor Calculus in Mathematical Physics with Applications to Special Relativity.

Contents: Basics on differential geometry: topological and differentiable manifolds; Tensor Fields in Manifolds and Associated Geometric Structures; Differential mapping and Submanifolds; Riemannian a . . . . .

This will be a book on the foundations of Special Relativity from a synthetic viewpoint. This means that we start from a few postulates on how to represent light rays and the principle of inertia and . . . . .