Geometry of Minkowski Space Time This book provides an original introduction to the geometry of Minkowski space time. A hundred years after the space time formulation of special relativity by Hermann Minkowski it is shown that the kinematical consequences of special relativity are merely a manifestation of space time geometry. The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way but using a non sophisticated mathematics the Kinematics of Special Relativity. As an example the famous Twin Paradox is completely solved for all kinds of motions. The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers the simplest extension of complex numbers for a complete formalization of the kinematics in the Minkowski space time. Moreover from this formalization the understanding of gravity comes as a manifestation of curvature of space time suggesting new research fields.