Author: G. Temple
Publisher: Courier Corporation
ISBN: 0486154548
Category : Mathematics
Languages : en
Pages : 108
Book Description
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Cartesian Tensors
Author: G. Temple
Publisher: Courier Corporation
ISBN: 0486154548
Category : Mathematics
Languages : en
Pages : 108
Book Description
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Publisher: Courier Corporation
ISBN: 0486154548
Category : Mathematics
Languages : en
Pages : 108
Book Description
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Cartesian Tensors
Author: George Frederick James Temple
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 108
Book Description
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 108
Book Description
Vector Analysis and Cartesian Tensors
Author: D. E. Bourne
Publisher: Academic Press
ISBN: 1483260704
Category : Mathematics
Languages : en
Pages : 271
Book Description
Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.
Publisher: Academic Press
ISBN: 1483260704
Category : Mathematics
Languages : en
Pages : 271
Book Description
Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.
Vector Analysis and Cartesian Tensors
Author: Donald Edward Bourne
Publisher: CRC Press
ISBN: 1351085972
Category : Mathematics
Languages : en
Pages : 314
Book Description
This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.
Publisher: CRC Press
ISBN: 1351085972
Category : Mathematics
Languages : en
Pages : 314
Book Description
This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.
An Introduction to Cartesian Tensors
Author: Khalid Latif Mir
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 151
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 151
Book Description
Cartesian Tensors
Author: Harold Jeffreys
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 112
Book Description
Publisher:
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 112
Book Description
Cartesian Tensors an Introduction
Cartesian Tensors
Author: Nils O. Myklestad
Publisher: Princeton, N.J : Van Nostrand
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 158
Book Description
Publisher: Princeton, N.J : Van Nostrand
ISBN:
Category : Calculus of tensors
Languages : en
Pages : 158
Book Description
An Introduction to Tensor Analysis
Author: Bipin Singh Koranga
Publisher: CRC Press
ISBN: 1000795918
Category : Mathematics
Languages : en
Pages : 127
Book Description
The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A,B to denote Tensors.
Publisher: CRC Press
ISBN: 1000795918
Category : Mathematics
Languages : en
Pages : 127
Book Description
The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A,B to denote Tensors.
Introduction to Vector and Tensor Analysis
Author: Robert C. Wrede
Publisher: Courier Corporation
ISBN: 0486137112
Category : Mathematics
Languages : en
Pages : 436
Book Description
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Publisher: Courier Corporation
ISBN: 0486137112
Category : Mathematics
Languages : en
Pages : 436
Book Description
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.