Lecture Notes in Lie Groups
by Vladimir G. Ivancevic, Tijana T. Ivancevic
Publisher: arXiv 2011
Number of pages: 74
These lecture notes in Lie Groups are designed for a 1-semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. 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.
Home page url
Download or read it online for free here:
by E. Celledoni, H. Marthinsen, B. Owren - arXiv
The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...
by Abraham Cohen - D.C. Heath & co
The object of this book is to present in an elementary manner, in English, an introduction to Lie s theory of one-parameter groups, with special reference to its application to the solution of differential equations invariant under such groups.
by Luther Pfahler Eisenhart - Princeton University Press
'Continuous Groups Of Transformations' sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry.
by Alexander Kirillov, Jr. - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.