The great mathematician Sophus Lie invented infinitesimal transformations to solve differential equations that, we know, are the mean, at least from the time of Newton, to study in deph the diverse aspects of the natural world. The idea of Lie was to apply to these equations the theory of groups that Galois has apllied to algebraic equations. Though Hamilton, in some way, was close to the idea, contact transformations were brought out explicitly by Sophus Lie as early as in 1872 when in a seminal work he pointed out the importance of transformations beginning and epoch change that goes on to the present [10].

Full document

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top

Document information

Published on 14/08/19

Licence: CC BY-NC-SA license

Document Score


Views 16
Recommendations 0

Share this document