Vector Analysis And Cartesian Tensors Pdf

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Cartesian tensor

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Vector analysis and vector identities by means of cartesian tensors

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.

Cartesian tensor

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Carpenter Published Computer Science. The cartesian tensor approach to vector analysis uses components in a rectangular coordinate system to derive all vector and field relationships. These relationships may then be transformed to other coordinate systems and expressed in coordinate-free vector notation.

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5 Response
  1. Chuppi

    Pages·· MB·1, Downloads·New! Vector Analysis and Cartesian Tensors D. E. Bourne|P. C. Kendall (auth.).

  2. Trankersdarse

    In geometry and linear algebra , a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components.

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