Tensors And Riemannian Geometry
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Tensor Calculus And Riemannian Geometry
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Author : D. C. Agarwal
language : en
Publisher: Krishna Prakashan Media
Release Date : 2013
Tensor Calculus And Riemannian Geometry written by D. C. Agarwal and has been published by Krishna Prakashan Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Tensors And Riemannian Geometry
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Author : Nail H. Ibragimov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-08-31
Tensors And Riemannian Geometry written by Nail H. Ibragimov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-31 with Mathematics categories.
This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
Tensors And Riemannian Geometry
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Author : Nailʹ Khaĭrullovich Ibragimov
language : en
Publisher: de Gruyter
Release Date : 2015
Tensors And Riemannian Geometry written by Nailʹ Khaĭrullovich Ibragimov and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Calculus of tensors categories.
This graduate textbook begins by introducing Tensors and Riemannian Spaces, and then elaborates their application in solving second-order differential equations, and ends with introducing theory of relativity and de Sitter space. Based on 40 years o
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles Ernest Weatherburn
language : en
Publisher: CUP Archive
Release Date : 1938
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles Ernest Weatherburn and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with Calculus of tensors categories.
Concepts From Tensor Analysis And Differential Geometry
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Author : Tracy Y. Thomas
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Concepts From Tensor Analysis And Differential Geometry written by Tracy Y. Thomas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles E. Weatherburn
language : en
Publisher:
Release Date : 1963
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles E. Weatherburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Tensors
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Author : AHSAN, ZAFAR
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2015-05-21
Tensors written by AHSAN, ZAFAR and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-21 with Mathematics categories.
The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study of special and general relativity and the geometry of differentiable manifolds with a crystal clear exposition. The concepts dealt within the book are well supported by a number of solved examples. A carefully selected set of unsolved problems is also given at the end of each chapter, and the answers and hints for the solution of these problems are given at the end of the book. The applications of tensors to the fields of differential geometry, relativity, cosmology and electromagnetism is another attraction of the present book. This book is intended to serve as text for postgraduate students of mathematics, physics and engineering. It is ideally suited for both students and teachers who are engaged in research in General Theory of Relativity and Differential Geometry.
Differential Geometry And Tensors
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Author : K.K. Dube
language : en
Publisher: I. K. International Pvt Ltd
Release Date : 2013-12-30
Differential Geometry And Tensors written by K.K. Dube and has been published by I. K. International Pvt Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with Mathematics categories.
The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors. Section A deals with: " Theory of curves, envelopes and developables. " Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature. " Fundamental equations of surface theory. " Geodesics. Section B deals with: " Tensor algebra. " Tensor calculus. " Christoffel symbols and their properties. " Riemann symbols and Einstein space, and their properties. " Physical components of contravariant and covariant vectors. " Geodesics and Parallelism of vectors. " Differentiable manifolds, charts, atlases.
The Very Basics Of Tensors
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Author : Nils K. Oeijord
language : en
Publisher: iUniverse
Release Date : 2005
The Very Basics Of Tensors written by Nils K. Oeijord and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Algebras, Linear categories.
Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The only prerequisites for reading this book are a familiarity with calculus (including vector calculus) and linear algebra, and some knowledge of differential equations.
An Introduction To Riemannian Geometry And The Tensor Calculus
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Author : Charles Ernest Weatherburn
language : en
Publisher:
Release Date : 1938
An Introduction To Riemannian Geometry And The Tensor Calculus written by Charles Ernest Weatherburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938 with categories.