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Kleinster Preis: € 179,45, größter Preis: € 377,51, Mittelwert: € 271,46

Nonlinear Mechanics, Groups and Symmetry (Paperback) - Yuri A. Mitropolsky

(*)

Yuri A. Mitropolsky:
Nonlinear Mechanics, Groups and Symmetry (Paperback) - Erstausgabe

2010, ISBN: 9048145171

Taschenbuch

[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… Mehr…

[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<

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Nonlinear Mechanics, Groups and Symmetry Yuri A. Mitropolsky Author

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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… Mehr…

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Nonlinear Mechanics, Groups and Symmetry - Yuri A. Mitropolsky A.K. Lopatin

(*)

Yuri A. Mitropolsky A.K. Lopatin:
Nonlinear Mechanics, Groups and Symmetry - Erstausgabe

2010, ISBN: 9789048145171

Taschenbuch

[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,… Mehr…

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Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications (closed)) - Yuri A. Mitropolsky, A.K. Lopatin

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Yuri A. Mitropolsky, A.K. Lopatin:
Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications (closed)) - Taschenbuch

2010, ISBN: 9789048145171

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Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications) - Yuri A. Mitropolsky

BEISPIEL

(*)

Yuri A. Mitropolsky:
Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications) - Taschenbuch

ISBN: 9789048145171

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

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Yuri A. Mitropolsky:

Nonlinear Mechanics, Groups and Symmetry (Paperback) - Erstausgabe

2010, ISBN: 9048145171

Taschenbuch

[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… Mehr…

[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<

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Nonlinear Mechanics, Groups and Symmetry Yuri A. Mitropolsky Author - neues Buch

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… Mehr…

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Nonlinear Mechanics, Groups and Symmetry - Yuri A. Mitropolsky A.K. Lopatin

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Yuri A. Mitropolsky A.K. Lopatin:
Nonlinear Mechanics, Groups and Symmetry - Erstausgabe

2010

ISBN: 9789048145171

Taschenbuch

[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,… Mehr…

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Yuri A. Mitropolsky, A.K. Lopatin:
Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications (closed)) - Taschenbuch

2010, ISBN: 9789048145171

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Yuri A. Mitropolsky:
Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications) - Taschenbuch

ISBN: 9789048145171

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Details zum Buch

Nonlinear Mechanics, Groups and Symmetry Yuri A. Mitropolsky Author

Autor:	Yuri A. Mitropolsky; A.K. Lopatin
Titel:	Nonlinear Mechanics, Groups and Symmetry Yuri A. Mitropolsky Author
ISBN-Nummer:	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 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.

Detailangaben zum Buch - Nonlinear Mechanics, Groups and Symmetry Yuri A. Mitropolsky Author

EAN (ISBN-13): 9789048145171
ISBN (ISBN-10): 9048145171
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer Netherlands Core >1
392 Seiten
Gewicht: 0,591 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2012-02-01T13:42:24+01:00 (Vienna)
Detailseite zuletzt geändert am 2024-03-11T12:34:43+01:00 (Vienna)
ISBN/EAN: 9789048145171

ISBN - alternative Schreibweisen:
90-481-4517-1, 978-90-481-4517-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: leo lopatin, grebennikov, landa, verhulst, mitropolskii
Titel des Buches: nonlinear mechanics, groups and symmetry

Daten vom Verlag:

Autor/in: Yuri A. Mitropolsky; A.K. Lopatin
Titel: Mathematics and Its Applications; Nonlinear Mechanics, Groups and Symmetry
Verlag: Springer; Springer Netherland
382 Seiten
Erscheinungsjahr: 2010-12-06
Dordrecht; NL
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD
X, 382 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; algebra; applied mathematics; asymptotic methods; differential equation; lie group; mechanics; ordinary differential equation; ordinary differential equations; partial differential equations; Differential Equations; Topological Groups and Lie Groups; Applications of Mathematics; Multibody Systems and Mechanical Vibrations; Gruppen und Gruppentheorie; Angewandte Mathematik; Maschinenbau: Festkörpermechanik; BB

1 Vector Fields, Algebras and Groups Generated by a System of Ordinary Differential Equations and their Properties.- 2 Decomposition of Systems of Ordinary Differential Equations.- 3 Asymptotic decomposition of systems of ordinary differential equations with a small parameter.- 4 Asymptotic Decomposition of Almost Linear Systems of Differential Equations with Constant Coefficients and Perturbations in the Form of Polynomials.- 5 Asymptotic Decomposition of Differential Systems with Small Parameter in the Representation Space of Finite-dimensional Lie Group.- 6 Asymptotic Decomposition of Differential Systems where Zero Approximation has Special Properties.- 7 Asymptotic Decomposition of Pfaffian Systems with a Small Parameter.- A: Lie series and Lie transformation.- B: The direct product of matrices.- B1: Definition.- B2: Systems of matrix equations.- C: Conditions for the solvability of systems of linear equations.- D: Elements of Lie group analysis of differential equations on the basis of the theory of extended operators.- D1: One-parameter group and its infinitesimal operator.- D2. Theory of extension.- Bibliographical Comments.- References.

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9789401585354 Nonlinear Mechanics Groups and Symmetry (Yuri A. Mitropolsky/ A. K. Lopatin)

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