2011/04/06 by Vladimir G. Ivancevic, Ivancevic, Vladimir G., Tijana T. Ivancevic +1
Mathematics · #Differential Geometry (math.DG) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability and Statistical Research #Quantitative Methods (q-bio.QM)
paper · pdf · doi:10.48550/arxiv.1104.1106
openalex publication_date 2011/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.