Tensor Calculus for Physics PDF Download
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Author: Dwight E. Neuenschwander
Publisher: JHU Press
ISBN: 142141564X
Category : Mathematics
Languages : en
Pages : 244
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Book Description
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author: Dwight E. Neuenschwander
Publisher: JHU Press
ISBN: 142141564X
Category : Mathematics
Languages : en
Pages : 244
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Book Description
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Author: A. I. Borisenko
Publisher: Courier Corporation
ISBN: 0486131904
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
Author: Frank Chorlton
Publisher: Ellis Horwood
ISBN:
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Author: Robert C. Wrede
Publisher: Courier Corporation
ISBN: 0486137112
Category : Mathematics
Languages : en
Pages : 436
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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.
Author: Robert C. Wrede
Publisher: Courier Corporation
ISBN: 048661879X
Category : Mathematics
Languages : en
Pages : 436
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Book Description
Text for advanced undergraduate and graduate students covers the algebra, differentiation, and integration of vectors, and the algebra and analysis of tensors, with emphasis on transformation theory
Author: D. E. Bourne
Publisher: Academic Press
ISBN: 1483260704
Category : Mathematics
Languages : en
Pages : 271
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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.
Author: Ray M. Bowen
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 224
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Book Description
To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume 1 begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume 2 begins with a discussion of Euclidean manifolds, which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold. In preparing this two-volume work, our intention was to present to engineering and science students a modern introduction to vectors and tensors. Traditional courses on applied mathematics have emphasized problem-solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than courses which equip the student to develop his or her understanding further.
Author: Peter McCullagh
Publisher: Courier Dover Publications
ISBN: 0486832694
Category : Mathematics
Languages : en
Pages : 308
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Book Description
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.
Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 048613489X
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Author: Donald E. Sands
Publisher: Courier Dover Publications
ISBN: 9780486495163
Category : Crystallography, Mathematical
Languages : en
Pages : 0
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Book Description
Ample instruction on vector and tensor manipulations in general coordinate systems, plus specific examples, applications. Emphasis on crystallographic applications, but methods are essential to any problems in nonorthogonal systems. 1982 edition.
