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Science/Engineering Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

Posted on 2010-03-15




Name:Science/Engineering Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
ASIN/ISBN:0387962409
Language:English
File size:1.1 Mb
Publish Date: 1993-09-10
ISBN: 0387962409
Pages: 215 pages
File Size: 1,1 MB
Other Info: Springer; Djvu
   Science/Engineering Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics

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D.H. Sattinger, O.L. Weaver, "Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics"

This is an introductory text on Lie groups and algebras and their roles in diverse areas of pure and applied mathematics and physics. The material is presented in a way that is at once intuitive, geometric, applications oriented, and, most of the time, mathematically rigorous. It is intended for students and researchers without an extensive background in physics, algebra, or geometry. In addition to an exposition of the fundamental machinery of the subject, there are many concrete examples that illustrate the role of Lie groups and algebras in various fields of mathematics and physics: elementary particle physics, Riemannian geometry, symmetries of differential equations, completely integrable systems, and bifurcation theory.

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