Applications of Lie groups to differential equations. Peter J. Olver

Applications of Lie groups to differential equations


Applications.of.Lie.groups.to.differential.equations.pdf
ISBN: 0387962506,9780387962504 | 640 pages | 16 Mb


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




Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. ABSTRACT : In this lecture , I plan to make a historical review of the infinite-dimensional Lie groups , more properly called now "pseudo-groups" after Ehresmann . Bold font indicates I own the book. On Differential Equations and Their Applications. The third part is more advanced and introduces into matrix Lie groups and Lie algebras the representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. GTM108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. Erlangen Program and Discrete Differential Geometry ABSTRACT : It is remarkable that the revolutionary ideas of Klein and Lie in geometry and differential equations have had so little influence in the teaching of mathematics at the university level up to the present time. Dr Colm Connaughton Non-equilibrium statistical mechanics, fluid Numerical and applied analysis of partial differential equations; free boundary problems; computational applied mathematics. At an international conference on. Using MathSciNet, I found the most cited book in each of 44 “pure” areas of Mathematical Subject Classification, from General (00) to Probability (60). GTM107 Applications of Lie Groups to Differential Equations, Peter J. The "The Seventh IMT-GT International Conference on Mathematics, Statistics and its Applications (ICMSA 2011)" will take place in Bangkok, Thailand on 21 Jul 2011. Mathematics > Differential Equations; Applications of Lie Groups to Differential Equations: Peter J. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory. Michael Range, FileSonic · FileServe. Professor Keith Ball Functional Analysis, High-dimensional and Discrete Group theory, groups of Lie type, finite simple groups. Dynamical systems and applications to physics; exponential asymptotics.