The objective of this book is an attempt at presenting and solving the known from the classical mechanics two and three dimensional single mass mechanical and mathematical vibration models in a higher order dimensional space. The common algorithm derived here for motion transformation is a geometrical transformation by means of projection of the vectors in the higher order dimensional space. The study can be applied successfully in many engineering fields and in physics and in astronomy, where the motion of the celestial bodies can be described by using the common algorithm. It is known in...