Logic of differential calculus and the zoo of geometric strujctures

  title={Logic of differential calculus and the zoo of geometric strujctures},
  author={Alexandre M. Vinogradov},
  journal={arXiv: Differential Geometry},
  • A. Vinogradov
  • Published 21 November 2015
  • Mathematics
  • arXiv: Differential Geometry
Since the discovery of differential calculus by Newton and Leibniz and the subsequent continuous growth of its applications to physics, mechanics, geometry, etc, it was observed that partial derivatives in the study of various natural problems are (self-)organized in certain structures usually called geometric. Tensors, connections, jets, etc, are commonly known examples of them. This list of classical geometrical structures is sporadically and continuously widening. For instance, Lie… 
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