# Logic of differential calculus and the zoo of geometric strujctures

@article{Vinogradov2015LogicOD, title={Logic of differential calculus and the zoo of geometric strujctures}, author={Alexandre M. Vinogradov}, journal={arXiv: Differential Geometry}, year={2015} }

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…

## One Citation

### Alexandre Mikhailovich Vinogradov

- Physics, MathematicsRussian Mathematical Surveys
- 2020

On 20 September 2019, Alexandre Mikhailovich Vinogradov, a remarkable mathematician and an extraordinary person, passed away. He was born on 18 February 1938 in Novorossiysk. During World War II he…

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