Transformation Groups Poznan 1985, Stefan Jackowski; Krzysztof Pawalowski

Автор: Ibragimov Nail H.
Название: Transformation Groups and Lie Algebras
ISBN: 9814460842 ISBN-13(EAN): 9789814460842
Издательство: World Scientific Publishing
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Описание: This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.

Автор: P. S. Mostert
Название: Proceedings of the Conference on Transformation Groups
ISBN: 3642461433 ISBN-13(EAN): 9783642461439
Издательство: Springer
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Описание: These Proceedings contain articles based on the lectures and in- formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun- dation (Contract No.

Автор: Philippe Tondeur
Название: Introduction to Lie Groups and Transformation Groups
ISBN: 3540045996 ISBN-13(EAN): 9783540045991
Издательство: Springer
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Автор: Sophus Lie; Jo?l Merker; Jo?l Merker; Friedrich En
Название: Theory of Transformation Groups I
ISBN: 3662512661 ISBN-13(EAN): 9783662512661
Издательство: Springer
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Описание:

Part I Modern Presentation.- 1 Three Principles of Thought Governing the Theory of Lie.- 2 Local Transformation Equations and Essential Parameters.- 3 Fundamental Differential Equations for Finite Continuous Transformation Groups.- 4 One-Term Groups and Ordinary Differential.- Part II English Translation.- 5 Complete Systems of Partial Differential Equations.- 7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations.- 8 Complete Systems Which Admit All Transformations of a One-term Group.- 9 Characteristic Relationships Between the Infinitesimal Transformations of a Group.- 10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants.- 11 The Defining Equations for the Infinitesimal Transformations of a Group.- 12 Determination of All Subgroups of an r-term Group.- 13 Transitivity, Invariants.- 14 Determination of All Systems of Equations Which Admit a Given r-term Group.- 15 Invariant Families of Infinitesimal Transformations.- 16 The Adjoint Group.- 17 Composition and Isomorphism.- 18 Finite Groups, the Transformations of Which Form Discrete Continuous Families.- 19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups.- 20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group.- 21 The Group of Parameters.- 22 The Determination of All r-term Groups.- 23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups.- 25 Differential Invariants.- 26 The General Projective Group.- 27 Linear Homogeneous Groups.- 28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space.- 29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups.- Glossary of significantly used words.- Index./p>

Автор: Lie Sophus
Название: Theory of Transformation Groups I
ISBN: 3662462109 ISBN-13(EAN): 9783662462102
Издательство: Springer
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Описание: Theory of Transformation Groups I