Schaum's Outline of Tensor Calculus
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This lucid introduction for undergraduates and graduates proves fundamental for pactitioners of theoretical physics and certain areas of engineering, like aerodynamics and fluid mechanics, and exteremely valuable for mathematicians. This study guide teaches all the basics and efective problem-solving skills too.Table of contents:The Einstein Summation Convention. Basic Linear Algebra for Tensors. General Tensors. Tensor Operations. Tests for Tensor Character. The Metric Tensor. The Derivative of a Tensor. Further Riemannian Geometry. Riemannian Curvature. Spaces of Zero Curvature. Tensors in D...
This lucid introduction for undergraduates and graduates proves fundamental for pactitioners of theoretical physics and certain areas of engineering, like aerodynamics and fluid mechanics, and exteremely valuable for mathematicians. This study guide teaches all the basics and efective problem-solving skills too.
Table of contents:
The Einstein Summation Convention. Basic Linear Algebra for Tensors. General Tensors. Tensor Operations. Tests for Tensor Character. The Metric Tensor. The Derivative of a Tensor. Further Riemannian Geometry. Riemannian Curvature. Spaces of Zero Curvature. Tensors in Differential Geometry. Tensors in Mechanics. Tensors in Special Relativity. Tensors Without Coordinates. Introduction to Tensor Manifolds.
The primary tool in the theory of relativity, tensor calculus is also important in continuum mechanics and differential geometry. This book takes a nonabstract, easy-to-understand approach, developing in numerous examples and solved problems those topics most pertinent to physics and engineering students.
Table of contents:
The Einstein Summation Convention. Basic Linear Algebra for Tensors. General Tensors. Tensor Operations. Tests for Tensor Character. The Metric Tensor. The Derivative of a Tensor. Further Riemannian Geometry. Riemannian Curvature. Spaces of Zero Curvature. Tensors in Differential Geometry. Tensors in Mechanics. Tensors in Special Relativity. Tensors Without Coordinates. Introduction to Tensor Manifolds.
The primary tool in the theory of relativity, tensor calculus is also important in continuum mechanics and differential geometry. This book takes a nonabstract, easy-to-understand approach, developing in numerous examples and solved problems those topics most pertinent to physics and engineering students.
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