Invariant Variational Principles
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Invariant Variational Principles
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Author : Logan
language : en
Publisher: Academic Press
Release Date : 1978-02-22
Invariant Variational Principles written by Logan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-02-22 with Mathematics categories.
Invariant Variational Principles
Invariant Variational Principles
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Author : John David Logan
language : en
Publisher:
Release Date : 1977
Invariant Variational Principles written by John David Logan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Calculus of variations categories.
Tensors Differential Forms And Variational Principles
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Author : David Lovelock
language : en
Publisher: Courier Corporation
Release Date : 2012-04-20
Tensors Differential Forms And Variational Principles written by David Lovelock and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Gauge Theory And Variational Principles
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Author : David Bleecker
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1981
Gauge Theory And Variational Principles written by David Bleecker and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
Detailed and self-contained, this text supplements its rigor with intuitive ideas and is geared toward beginning graduate students and advanced undergraduates. Topics include principal fiber bundles and connections; curvature; particle fields, Lagrangians, and gauge invariance; inhomogeneous field equations; free Dirac electron fields; calculus on frame bundle; and unification of gauge fields and gravitation. 1981 edition
Invariant Variational Principles And Field Theories
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Author : G. W. Horndeski
language : en
Publisher:
Release Date : 1973
Invariant Variational Principles And Field Theories written by G. W. Horndeski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
The Variational Principles Of Mechanics
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 2012-04-24
The Variational Principles Of Mechanics written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-24 with Science categories.
Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.
Variational And Extremum Principles In Macroscopic Systems
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Author : Stanislaw Sieniutycz
language : en
Publisher: Elsevier
Release Date : 2010-07-07
Variational And Extremum Principles In Macroscopic Systems written by Stanislaw Sieniutycz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-07 with Technology & Engineering categories.
Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin's maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. - A unique multidisciplinary synthesis of variational and extremum principles in theory and application - A comprehensive review of current and past achievements in variational formulations for macroscopic processes - Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy
Geometry Of The Time Dependent Variational Principle In Quantum Mechanics
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Author : P. Kramer
language : en
Publisher:
Release Date : 2014-01-15
Geometry Of The Time Dependent Variational Principle In Quantum Mechanics written by P. Kramer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Variational Methods In The Mechanics Of Solids
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Author : S. Nemat-Nasser
language : en
Publisher: Elsevier
Release Date : 2017-01-31
Variational Methods In The Mechanics Of Solids written by S. Nemat-Nasser and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Technology & Engineering categories.
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
Variational Principles In Classical Mechanics
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Author : Douglas Cline
language : en
Publisher:
Release Date : 2018-08
Variational Principles In Classical Mechanics written by Douglas Cline and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08 with categories.
Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.