作者:
关键词: Newtonian dynamics 、 Ricci calculus 、 Differential geometry 、 Tensor calculus 、 Geometry 、 Mathematics 、 General relativity 、 Connection (mathematics) 、 Representation (mathematics) 、 Theory of relativity
摘要: To the pure mathematician of present day tensor calculus is a notation differential geometry, special utility in connection with multi-dimensional spaces; to applied it backbone general theory relativity. But when recognised that every problem mathematics may be regarded as geometrical (in widest sense) and forms which many these problems take are such can directly applied, realised possibilities this field hardly overestimated. It has dual importance: first, by its help, known results exhibited most compact form; secondly, enables exercise his potent instrument discovery, intuition. In paper we concerned development dynamical aid calculus. view close association relativity, should clearly understood only attempts deal classical or Newtonian dynamics system particles rigid bodies. The subject presented semi-geometrical aspect, reader visualise order realise analogy between particle. Mathematicians display strange reluctance summoning their assistance power visualisation multidimensional space. They forget they have studied geometry three dimensions largely through medium schematic representation on two dimensional sheet paper. same method available case any number dimensions.