Lectures On The Theory Of Group Properties Of Differential Equations
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Lectures On The Theory Of Group Properties Of Differential Equations
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Author : L V Ovsyannikov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-05-20
Lectures On The Theory Of Group Properties Of Differential Equations written by L V Ovsyannikov and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Mathematics categories.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
Lectures On The Theory Of Group Properties Of Differential Equations
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Author : L. V. Ovsyannikov
language : en
Publisher:
Release Date :
Lectures On The Theory Of Group Properties Of Differential Equations written by L. V. Ovsyannikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with MATHEMATICS categories.
Group Theory And Differential Equations
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Author : Lawrence Markus
language : en
Publisher:
Release Date : 1960
Group Theory And Differential Equations written by Lawrence Markus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Lectures On Ordinary Differential Equations
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Author : Witold Hurewicz
language : en
Publisher: Courier Corporation
Release Date : 2014-07-21
Lectures On Ordinary Differential Equations written by Witold Hurewicz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.
Introductory treatment explores existence theorems for first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. "A rigorous and lively introduction." — The American Mathematical Monthly. 1958 edition.
Lectures On Differential Galois Theory
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Author : Andy R. Magid
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Lectures On Differential Galois Theory written by Andy R. Magid and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Differential Galois theory studies solutions of differential equations over a differential base field. In much the same way that ordinary Galois theory is the theory of field extensions generated by solutions of (one variable) polynomial equations, differential Galois theory looks at the nature of the differential field extension generated by the solution of differential equations. An additional feature is that the corresponding differential Galois groups (of automorphisms of the extension fixing the base and commuting with the derivation) are algebraic groups. This book deals with the differential Galois theory of linear homogeneous differential equations, whose differential Galois groups are algebraic matrix groups. In addition to providing a convenient path to Galois theory, this approach also leads to the constructive solution of the inverse problem of differential Galois theory for various classes of algebraic groups. Providing a self-contained development and many explicit examples, this book provides a unique approach to differential Galois theory and is suitable as a textbook at the advanced graduate level.
Group Properties Of The Acoustic Differential Equation
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Author : L V Poluyanov
language : en
Publisher: CRC Press
Release Date : 1995-05-24
Group Properties Of The Acoustic Differential Equation written by L V Poluyanov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-24 with Mathematics categories.
This text is an addition to the existing literature about the symmetrical properties of sound waves. The authors clarify the algebraic and analytical nature of the dynamic acoustic problem. Operator equations which are typical for linear systems and the more general Lie method are considered, which can be applied even to nonlinear problems. The information obtained allows the reader to construct different types of analytical solutions of the different acoustic equation. The acoustic differential equation describes sound waves in elastic media. If the media is non-homogeneous then the acoustic equation is generally very complicated and its exact solutions or analytical solutions may be considered as rare. This volume applies Lie algebra and Lie group techniques to separate independent variables and obtains exact analytical solutions. Special attention is paid to homogeneous and non-homogeneous media with different symmetry properties. The full wave acoustic equation is considered as well as the so-called phase acoustic equation which arises in the short-wave approximation.
Group Theory And Differential Equations
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Author : Lawrence Markus
language : en
Publisher:
Release Date : 1959
Group Theory And Differential Equations written by Lawrence Markus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Lectures In Differential Equations
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Author : Abdul Kadir Aziz
language : en
Publisher:
Release Date : 1969
Lectures In Differential Equations written by Abdul Kadir Aziz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Differential equations categories.
Group Theory And Differential Equations
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Author : Lawrence Friedman Markus
language : en
Publisher:
Release Date : 1960*
Group Theory And Differential Equations written by Lawrence Friedman Markus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960* with categories.
Tensors And Riemannian Geometry
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Author : Nail H. Ibragimov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-31
Tensors And Riemannian Geometry written by Nail H. Ibragimov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-31 with Mathematics categories.
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.