Rimanova Geometry and Tensor Analysis. Volume 1. Euclidean spaces and affinated spaces. Tensor analysis. Rashevsky P.K.

In this monograph, a material is comprehensively lit and expanded, including the most important and most important in the field of tensor analysis and riman geometry. A distinctive feature of the book is the way out of the field of pure tensor analysis and riman geometry in mechanics and physics (special attention is paid to the theory of relativity in this regard).

This edition is divided into two parts. The first part explore the Euclidean spaces and affinated spaces, outlines the tensor and spinor analysis, as well as the mathematical foundations of the special theory of relativity.

the second part is devoted to riman geometry and tensor analysis, the spaces of affinity, as well as the mathematical foundations of the general theory relativity. The presentation is supplemented by a number of private issues of fundamental significance (theory of curves and hyperfoons in the Riman space, etc.).

The book is intended for specialists in the field of riman geometry and tensor analysis, engineers and physicists; can serve as a textbook for university students.