By Petre P. Teodorescu, Nicolae-A.P. Nicorovici
The inspiration of team is key in our days, not just in arithmetic, but additionally in classical mechanics, electromagnetism, conception of relativity, quantum mechanics, concept of straightforward debris, and so forth. This suggestion has built in the course of a century and this improvement is hooked up with the names of significant mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In arithmetic, as in different sciences, the easy and fertile rules make their manner with hassle and slowly; besides the fact that, this lengthy historical past may were of a minor curiosity, had the idea of crew remained hooked up basically with fairly constrained domain names of arithmetic, these during which it happened before everything. yet at the moment, teams have invaded just about all mathematical disciplines, mechanics, the biggest a part of physics, of chemistry, and so forth. We may well say, with out exaggeration, that this can be crucial concept that happened in arithmetic because the invention of infinitesimal calculus; certainly, the thought of crew expresses, in an exact and operational shape, the imprecise and common principles of regularity and symmetry. The thought of crew ended in a profound realizing of the nature of the legislation which govern traditional phenomena, allowing to formulate new legislation, correcting sure insufficient formulations and supplying unitary and non contradictory formulations for the investigated phenomena.