The inception of Symplectic Geometry: the works of Lagrange and Poisson during the years 1808-1810

Details The inception of Symplectic Geometry: the works of Lagrange and Poisson during the years 1808-1810 The inception of Symplectic Geometry: the works of Lagrange and Poisson during the years 1808-1810

2009-02-04

arxiv.org/abs/0902.0685v2

Letters in Mathematical Physics vol. 90 numbers 1-3 december 2009

Mathematics

History and Overview

Presented at the meeting "Poisson 2008" in Lausanne, July 2008. Published in Letters in Mathematical Physics. 22 pages

Scientific paper

10.1007/s11005-009-0347-y

The concept of a symplectic structure first appeared in the works of Lagrange
on the so-called "method of variation of the constants". These works are
presented, together with those of Poisson, who first defined the composition
law called today the "Poisson bracket". The method of variation of the
constants is presented using today's mathematical concepts and notations.

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