Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold

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Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold

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Author : Hanno Rund
language : de
Publisher:
Release Date : 1971-01

Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold written by Hanno Rund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01 with categories.

Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold

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Author : Hanno Rund
language : en
Publisher:
Release Date : 1971

Invariant Theory Of Variational Problems On Subspaces Of A Riemannian Manifold written by Hanno Rund and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 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.

Harmonic Maps Selected Papers By James Eells And Collaborators

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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992-08-21

Harmonic Maps Selected Papers By James Eells And Collaborators written by James Eells and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-21 with Mathematics categories.

These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.

Sixth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories In 2 Volumes

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Author : Humitaka Sato
language : en
Publisher: World Scientific
Release Date : 1993-01-08

Sixth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories In 2 Volumes written by Humitaka Sato and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-08 with categories.

The Marcel Grossmann Meetings have been conceived with the aim of reviewing recent advances in gravitation and general relativity, with particular emphasis on mathematical foundations and physical predictions. The overall programme includes the broad categories of mathematical techniques, cosmology, quantum gravity, astrophysics, gravitational radiation and experimental developments.The proceedings contain invited and contributed papers.

Harmonic Maps

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Author : James Eells
language : en
Publisher: World Scientific
Release Date : 1992

Harmonic Maps written by James Eells and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.

Waves And Rays In Elastic Continua 3rd Edition

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Author : Michael A Slawinski
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-12-15

Waves And Rays In Elastic Continua 3rd Edition written by Michael A Slawinski 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 2014-12-15 with Science categories.

The present book — which is the third, significantly revised edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

Waves And Rays In Elastic Continua Fourth Edition

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Author : Michael A Slawinski
language : en
Publisher: World Scientific
Release Date : 2020-09-24

Waves And Rays In Elastic Continua Fourth Edition written by Michael A Slawinski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-24 with Science categories.

Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.

Journal Of Differential Geometry

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Author :
language : en
Publisher:
Release Date : 1977

Journal Of Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Geometry categories.

Seismic Waves And Rays In Elastic Media

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Author : Michael A. Slawinski
language : en
Publisher: Elsevier
Release Date : 2003

Seismic Waves And Rays In Elastic Media written by Michael A. Slawinski and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

This book seeks to explore seismic phenomena in elastic media and emphasizes the interdependence of mathematical formulation and physical meaning. The purpose of this title - which is intended for senior undergraduate and graduate students as well as scientists interested in quantitative seismology - is to use aspects of continuum mechanics, wave theory and ray theory to describe phenomena resulting from the propagation of waves. The book is divided into three parts: Elastic continua, Waves and rays, and Variational formulation of rays. In Part I, continuum mechanics are used to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such material. In Part II, these equations are used to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, the high-frequency approximation is used and establishes the concept of a ray. In Part III, it is shown that in elastic continua a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary travel time.