2010, ISBN: 9048145171

pocketboek

[EAN: 9789048145171], Neubuch, [PU: Springer, Dordrecht], Paperback. This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of grou… Meer...

[EAN: 9789048145171], Neubuch, [PU: Springer, Dordrecht], Paperback. This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincare--Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences. Asymptotic methods of nonlinear mechanics developed by N. M. Krylov and N. N. Bogoliubov originated new trend in perturbation theory. They peneA trated deep into various applied branches (theoretical physics, mechanics, apA plied astronomy, dynamics of space flights, and others) and laid the foundaA tion for lrumerous generalizations and for the creation of various modifications of thesem. E!f,hods. A great number of approaches and techniques exist and many differen. t classes of mathematical objects have been considered (ordinary differential equations, partial differential equations, delay diffe,'ential equations and others). The stat. e of studying related problems was described in monoA graphs and original papers of Krylov N. M. , Bogoliubov N. N. [1], [2], BogoliA ubov N. N [1J, Bogoliubov N. N. , Mitropolsky Yu. A. [1], Bogoliubov N. N. , MitropolA sky Yu. A. , Samoilenko A. M. [1], Akulenko L. D. [1], van den Broek B. [1], van den Broek B. , Verhulst F. [1], Chernousko F. L. , Akulenko L. D. and Sokolov B. N. [1], Eckhause W. [l], Filatov A. N. [2], Filatov A. N. , Shershkov V. V. [1], GiA acaglia G. E. O. [1], Grassman J. [1], Grebennikov E. A. [1], Grebennikov E. A. , Mitropolsky Yu. A. [1], Grebennikov E. A. , Ryabov Yu. A. [1], Hale J . K. [I]' HaA paev N. N. [1], Landa P. S. [1), Lomov S. A. [1], Lopatin A. K. [22]-[24], Lyko Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability., Books<

ISBN: 9789048145171

This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group p… Meer...

This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré—Birkhoff normal form, as well as to the formulation of new ones. The development of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems. This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences. Trade Books>Trade Paperback>Science>Mathematics>Mathematics, Springer Netherlands Core >1<

2010, ISBN: 9789048145171

pocketboek

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Vector Fields,… Meer...

[ED: Kartoniert / Broschiert], [PU: Springer Netherlands], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Vector Fields, Algebras and Groups Generated by a System of Ordinary Differential Equations and their Properties. 2. Decomposition of System, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Taschenbuch, 382, [GW: 549g], 1. Auflage, Banküberweisung, PayPal, [CT: Naturwissenschaft/Mathematik / Sonstiges - Naturwissenschaften]<

ISBN: 9789048145171

Springer Netherlands, 1995. Paperback. New. 388 pages. 9.25x6.10x0.90 inches., Springer Netherlands, 1995, 6