Applications of Lie groups to differential equations Peter J. Olver
Publisher: Springer-Verlag

Later, I found an extensive application of Cartan's methods in Kastrup's 'Canonical theories of Lagrangian dynamical systems in physics' and Friedrich W. Mielke and Yuval Ne'eman's, Metric Affine Gauge theory of Gravity. Students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. Applications of Lie Groups to Differential Equations by Peter J. Peter Olver, Applications of Lie groups to differential equations, Springer; Equivalence, invariants, and symmetry, Cambridge Univ. Olver: Applications of Lie Groups to Differential Equations (Springer, New York, 1986). Comm,Nonliear Sci & Nonlinear Simu. It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Applications of Lie Groups to Difference Equations English | ISBN: 1420083090 | 2010 | 344 pages | PDF | 2,1 MB Applications of Lie Groups to Difference Equations English | ISBN: 14200830. Lie groups and Lie algebras are named after him. Previously, only discharge of static electricity had been available, so his device opened a new door to new uses of electricity. 1899 (Marius) Sophus Lie (17 Dec 1842; 18 Feb 1899) was a Norwegian mathematician who made significant contributions to the theories of algebraic invariants, continuous groups of transformations and differential equations. It was during this time that again, its behavior in the large. [5] Souichi Murata: Nonclassical symmetry analysis for hyperbolic partial differential equation. In other words, he created a tool not only for differential geometry, differential equations and Lie groups, but also for global geometry and topology. Shortly thereafter, William Nicholson decomposed water by .