Lecture Notes in Lie Groups
Abstract
These lecture notes in Lie Groups are designed for a 1semester 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. We give both physical and medical examples of Lie groups. The only necessary background for comprehensive reading of these notes are advanced calculus and linear algebra.
 Publication:

arXiv eprints
 Pub Date:
 April 2011
 arXiv:
 arXiv:1104.1106
 Bibcode:
 2011arXiv1104.1106I
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Quantitative Biology  Quantitative Methods
 EPrint:
 74 pages, 7 figures, added medical applications