Lecture Notes in Lie Groups
Vladimir G. Ivancevic, Tijana T. Ivancevic

TL;DR
These lecture notes provide a comprehensive introduction to Lie groups, covering their mathematical foundations and applications across physics, engineering, and biology, suitable for advanced students.
Contribution
They offer an accessible, interdisciplinary overview of Lie groups with practical examples, bridging pure mathematics and applied sciences.
Findings
Rigorous foundation for modern dynamics and gauge theories
Includes physical and medical applications of Lie groups
Accessible to students with advanced calculus and linear algebra
Abstract
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. 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.
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Taxonomy
TopicsProbability and Statistical Research
