Systems Variational Methods And Relativity
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Systems Variational Methods And Relativity
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Author : Robert L. Halfman
language : en
Publisher:
Release Date : 1962
Systems Variational Methods And Relativity written by Robert L. Halfman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
Dynamics Systems Variational Methods And Relativity
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Author : Robert L. Halfman
language : en
Publisher:
Release Date : 1962
Dynamics Systems Variational Methods And Relativity written by Robert L. Halfman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Dynamics categories.
Dynamics Systems Variational Methods And Relativity
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Author : Robert L. Halfman
language : en
Publisher:
Release Date : 1962
Dynamics Systems Variational Methods And Relativity written by Robert L. Halfman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Dynamics categories.
The Inverse Problem Of The Calculus Of Variations
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Author : Dmitry V. Zenkov
language : en
Publisher: Springer
Release Date : 2015-10-15
The Inverse Problem Of The Calculus Of Variations written by Dmitry V. Zenkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Mathematics categories.
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).
Variational Methods
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Author : BERESTYCKI
language : en
Publisher: Birkhäuser
Release Date : 2012-11-26
Variational Methods written by BERESTYCKI and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-26 with Mathematics categories.
In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial applica tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics.
Variational Methods
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Author : BERESTYCKI
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Variational Methods written by BERESTYCKI and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial applica tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics.
Variational Approach To Gravity Field Theories
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Author : Alberto Vecchiato
language : en
Publisher: Springer
Release Date : 2017-05-30
Variational Approach To Gravity Field Theories written by Alberto Vecchiato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with Science categories.
This book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.
Variational Methods In Nonconservative Phenomena
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Author : B. D. Vujanovic
language : en
Publisher: Academic Press
Release Date : 1989-05-01
Variational Methods In Nonconservative Phenomena written by B. D. Vujanovic and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.
This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include
Motion And Relativity
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Author : Leopold Infeld
language : en
Publisher: Elsevier
Release Date : 2013-09-03
Motion And Relativity written by Leopold Infeld and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Science categories.
Motion and Relativity focuses on the methodologies, solutions, and approaches involved in the study of motion and relativity, including the general relativity theory, gravitation, and approximation. The publication first offers information on notation and gravitational interaction and the general theory of motion. Discussions focus on the notation of the general relativity theory, field values on the world-lines, general statement of the physical problem, Newton's theory of gravitation, and forms for the equation of motion of the second kind. The text then takes a look at the approximation method and the equations of motion and motion and the Newtonian and post-Newtonian approximation. Topics include general remarks on the approximation method, two forms of the equations of motion and integrability conditions, approximation method and coordinate system, and development of the metric field. The manuscript examines the variational principle and the equations of motion of the third kind and the one and two particle problems. The formulation of the problem, Lagrangian up the sixth order, motion of a test particle in the field of a heavy particle, two-body problem, and motion of rotating bodies are discussed. The text is a dependable reference for readers interested in the methodologies, solutions, and approaches involved in the study of motion and relativity.
Variational Methods With Applications In Science And Engineering
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Author : Kevin W. Cassel
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-22
Variational Methods With Applications In Science And Engineering written by Kevin W. Cassel 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 2013-07-22 with Mathematics categories.
This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.