Invariant Variational Principles And Field Theories
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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.
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
Gauge Theory And Variational Principles
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Author : David Bleecker
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18
Gauge Theory And Variational Principles written by David Bleecker and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Science categories.
This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.
Variational Models And Methods In Solid And Fluid Mechanics
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Author : Francesco dell'Isola
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-15
Variational Models And Methods In Solid And Fluid Mechanics written by Francesco dell'Isola 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 2012-01-15 with Technology & Engineering categories.
F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.
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.
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 Calculations In Quantum Field Theory Proceedings Of The International Workshop
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Author : L Polley
language : en
Publisher: World Scientific
Release Date : 1988-07-01
Variational Calculations In Quantum Field Theory Proceedings Of The International Workshop written by L Polley and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-01 with categories.
The contributions in this conference proceeding present an alternative approach to solving the Quantum Field Theory problem using the variational approach. Many different issues are visited using this approach — Yang Mills Theory, going beyond the Guassian Approximation, in QCD and QED.
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.
Lectures On Geometric Variational Problems
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Author : Seiki Nishikawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Geometric Variational Problems written by Seiki Nishikawa 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 this volume are collected notes of lectures delivered at the First In ternational Research Institute of the Mathematical Society of Japan. This conference, held at Tohoku University in July 1993, was devoted to geometry and global analysis. Subsequent to the conference, in answer to popular de mand from the participants, it was decided to publish the notes of the survey lectures. Written by the lecturers themselves, all experts in their respective fields, these notes are here presented in a single volume. It is hoped that they will provide a vivid account of the current research, from the introduc tory level up to and including the most recent results, and will indicate the direction to be taken by future researeh. This compilation begins with Jean-Pierre Bourguignon's notes entitled "An Introduction to Geometric Variational Problems," illustrating the gen eral framework of the field with many examples and providing the reader with a broad view of the current research. Following this, Kenji Fukaya's notes on "Geometry of Gauge Fields" are concerned with gauge theory and its applications to low-dimensional topology, without delving too deeply into technical detail. Special emphasis is placed on explaining the ideas of infi nite dimensional geometry that, in the literature, are often hidden behind rigorous formulations or technical arguments.
The Noether Theorems
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Author : Yvette Kosmann-Schwarzbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-17
The Noether Theorems written by Yvette Kosmann-Schwarzbach 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 2010-11-17 with Mathematics categories.
In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.