What makes Lie Groups a crucial theory in modern dynamics and beyond?

[marcus]

http://arxiv.org/abs/1104.1106
Lecture Notes in Lie Groups
Vladimir G. Ivancevic, Tijana T. Ivancevic
(Submitted on 6 Apr 2011)
These lecture notes in Lie Groups are designed for a 1--semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. This landmark theory of the 20th Century mathematics and physics gives a rigorous foundation to modern dynamics, as well as field and gauge theories in physics, engineering and biomechanics. The only necessary background for comprehensive reading of these notes are calculus and linear algebra.
Comments: 58 pages, 4 figures

 

[Sankaku]

Thanks for posting this link.

 

[xiaoB]

Thanks !

 

[matt91a]

These guys are pretty good. They've also got some nice notes on TQFT and De Rham–Hodge Theory that are well worth checking out.

 

[CellCoree]

Thank you for sharing these lecture notes on Lie Groups. I appreciate the importance of this theory in modern dynamics and its applications in various fields such as physics, engineering, and biology. I am particularly interested in its connections to field and gauge theories, which have been crucial in advancing our understanding of fundamental interactions in nature. The fact that these notes only require a background in calculus and linear algebra makes it accessible to a wide range of students and researchers. I look forward to delving deeper into the content and gaining a better understanding of this landmark theory. Thank you again for providing these valuable resources.