Tensor Calculus and Applications
portes grátis
Tensor Calculus and Applications
Simplified Tools and Techniques
Kalita, Bhaben Chandra
Taylor & Francis Ltd
03/2021
174
Mole
Inglês
9780367780142
15 a 20 dias
330
Descrição não disponível.
Part I Formalism of Tensor Calculus. 1. Prerequisites for Tensors. 2. Concept of Tensors. 3. Riemannian Metric and Fundamental Tensors. 4. Christoffel Three-Index Symbols (Brackets) and Covariant Differentiation. 5. Properties of Curves in Vn and Geodesics. 6. Riemann Symbols (Curvature Tensors). Part II. Application of Tensors. 7. Applications of Tensors in General Theory of Relativity. 8. Tensors in Continuum Mechanics. 9. Tensors in Geology. 10. Tensors in Fluid Dynamics. Appendix. Remarks. Bibliography.
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Energy Momentum Tensor;Indefinite Quadratic Forms;Dummy Suffix;Riemannian Geometry;Real Suffix;Covariant Vector;Riemann Symbols;Displacement Vector;Navier-Stokes Equations;Mathematical Expression;Vectors;Riemannian Curvature Tensor;Geometry;Orthogonal Cartesian Coordinate Systems;Covariant Tensor;Nonsingular Linear Transformation;Contravariant Vector;Fundamental Tensor;Contravariant Tensor;Curvilinear Coordinate System;Curvature Tensor;Ricci Tensor;Unit Tangent Vector;Riemannian Space;Tensor Calculus;Geodesic Coordinates;Strain Ellipse;Mixed Tensor;Real Quadratic Form;Riemannian Metric;Essential Entity
Part I Formalism of Tensor Calculus. 1. Prerequisites for Tensors. 2. Concept of Tensors. 3. Riemannian Metric and Fundamental Tensors. 4. Christoffel Three-Index Symbols (Brackets) and Covariant Differentiation. 5. Properties of Curves in Vn and Geodesics. 6. Riemann Symbols (Curvature Tensors). Part II. Application of Tensors. 7. Applications of Tensors in General Theory of Relativity. 8. Tensors in Continuum Mechanics. 9. Tensors in Geology. 10. Tensors in Fluid Dynamics. Appendix. Remarks. Bibliography.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Energy Momentum Tensor;Indefinite Quadratic Forms;Dummy Suffix;Riemannian Geometry;Real Suffix;Covariant Vector;Riemann Symbols;Displacement Vector;Navier-Stokes Equations;Mathematical Expression;Vectors;Riemannian Curvature Tensor;Geometry;Orthogonal Cartesian Coordinate Systems;Covariant Tensor;Nonsingular Linear Transformation;Contravariant Vector;Fundamental Tensor;Contravariant Tensor;Curvilinear Coordinate System;Curvature Tensor;Ricci Tensor;Unit Tangent Vector;Riemannian Space;Tensor Calculus;Geodesic Coordinates;Strain Ellipse;Mixed Tensor;Real Quadratic Form;Riemannian Metric;Essential Entity