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

Applications of Lie groups to differential equations Peter J. Olver ebook
ISBN: 0387962506, 9780387962504
Publisher: Springer-Verlag
Page: 640
Format: djvu

Within this section general relativity is briefly discussed as is Noether's theorem. The goal of the lectures was to present some of the recent uses of nilpotent Lie groups in the representation theory of semi-simple Lie groups, complex analysis, and partial differential equations. The book contains exercises and plenty of worked examples. Here differential geometry is developed. In most real-life applications, the differential equations, which are used to model a certain situation, contain arbitrary functions of dependent variable or its derivatives and independent variables. The Electronic Journal "Differential Geometry - Dynamical Systems" is published in free electronic format by Balkan Society of Geometers, Geometry Balkan Press. Vladimir Dorodnitsyn, "Applications of Lie Groups to Difference Equations" English | ISBN: 1420083090 | 2010 | 344 pages | PDF | 2,1 MB Intended for researchers, numerical analyst. Applications of Lie groups to differential equations. The book features discussions on ordinary differential equations This book will give readers a thorough understanding of the fundamentals of power system analysis and their applications. Section VIII covers Lie groups and their applications. Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. And graduate 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.pdf. Both the basic Download : Power System Analysis. 107 Applications of Lie Groups to Differential Equations Peter J. Nicoleta Bila, Lie Groups Applications to Minimal Surfaces PDE Pp. 108 Holomorphic Functions and Integral Representations in Several Complex Var. Topics include: Lie groups & Lie algebras, differential geometry (vector fields, Riemannian metrics, covariant derivatives, geodesics, Killing vector fields), Lie groups and differential equations and the calculus of variations.