Author: Hanno RundPublisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 60
Book Description
Invariant Theory of Variational Problems on Subspaces of a Riemannian Manifold
Author: Hanno RundPublisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 60
Book Description
Invariant theory of variational problems on subspaces of a Riemannian manifold
Author: Hanno RundPublisher:
ISBN: 9783525403068
Category :
Languages : de
Pages : 54
Book Description
Tensors, Differential Forms, and Variational Principles
Author: David LovelockPublisher: Courier Corporation
ISBN: 048613198X
Category : Mathematics
Languages : en
Pages : 402
Book Description
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.
Sixth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Gravitation And Relativistic Field Theories (In 2 Volumes)
Author: Humitaka SatoPublisher: World Scientific
ISBN: 9814554944
Category :
Languages : en
Pages : 1797
Book Description
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: Selected Papers By James Eells And Collaborators
Author: James EellsPublisher: World Scientific
ISBN: 9814506125
Category : Mathematics
Languages : en
Pages : 453
Book Description
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.
Harmonic Maps
Author: James EellsPublisher: World Scientific
ISBN: 9789810207045
Category : Mathematics
Languages : en
Pages : 472
Book Description
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.
Tensor
Author: Waves And Rays In Elastic Continua (3rd Edition)
Author: Michael A SlawinskiPublisher: World Scientific Publishing Company
ISBN: 9814644218
Category : Science
Languages : en
Pages : 654
Book Description
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)
Author: Michael A SlawinskiPublisher: World Scientific
ISBN: 9811226423
Category : Science
Languages : en
Pages : 680
Book Description
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.
Waves And Rays In Elastic Continua
Author: Michael A SlawinskiPublisher: World Scientific Publishing Company
ISBN: 9813107677
Category : Science
Languages : en
Pages : 614
Book Description
The present book — which is the second, and significantly extended, 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.