Cartan S Equivalence Method And An Application To Second Order Evolution Equations
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Cartan S Equivalence Method And An Application To Second Order Evolution Equations
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Author : Roberto T. Murrillo
language : en
Publisher:
Release Date : 1994
Cartan S Equivalence Method And An Application To Second Order Evolution Equations written by Roberto T. Murrillo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Some Applications Of Cartan S Method Of Equivalence To The Geometric Study Of Ordinary And Partial Differential Equations
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Author : Mark Eric Fels
language : en
Publisher:
Release Date : 1993
Some Applications Of Cartan S Method Of Equivalence To The Geometric Study Of Ordinary And Partial Differential Equations written by Mark Eric Fels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
"We also characterize invariantly under point transformations some equivalence classes of parabolic quasi-linear second order partial differential equations, and examine their point symmetry groups. We are able to make our characterizations by proving a reduction theorem for principal fibre bundles." --
Cartan For Beginners
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Author : Thomas A. Ivey
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-15
Cartan For Beginners written by Thomas A. Ivey 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 2016-12-15 with Mathematics categories.
Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.
Stabilization Of Second Order Evolution Equations By Unbounded Nonlinear Feedback
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Author : F. Conrad
language : fr
Publisher:
Release Date : 1992
Stabilization Of Second Order Evolution Equations By Unbounded Nonlinear Feedback written by F. Conrad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Equivalence Invariants And Symmetry
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Author : Peter J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 1995-06-30
Equivalence Invariants And Symmetry written by Peter J. Olver and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-30 with Mathematics categories.
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2002
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Dissertations, Academic categories.
Cartan For Beginners
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Author : Thomas Andrew Ivey
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Cartan For Beginners written by Thomas Andrew Ivey 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 2003 with Mathematics categories.
This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.
Physics Briefs
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Author :
language : en
Publisher:
Release Date : 1994
Physics Briefs written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Physics categories.
The Geometrical Study Of Differential Equations
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Author : Joshua Allensworth Leslie
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
The Geometrical Study Of Differential Equations written by Joshua Allensworth Leslie 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 2001 with Mathematics categories.
This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.
Energy Research Abstracts
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Author :
language : en
Publisher:
Release Date : 1991-10
Energy Research Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10 with Power resources categories.