Maks A. Akivis, Vladislav V. Goldberg
Abstract
Vector Spaces Multilinear Forms and Tensors Linear Transformations and Second-Order Tensors Reduction of the Matrix of Linear Transformation to the Simplest Form The General Theory of Second-Degree Surfaces Applications of Tensor Calculus to Some Problems of Mechanics and Physics Foundations of Tensor Analysis.
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Vector Spaces Multilinear Forms and Tensors Linear Transformations and Second-Order Tensors Reduction of the Matrix of Linear Transformation to the Simplest Form The General Theory of Second-Degree Surfaces Applications of Tensor Calculus to Some Problems of Mechanics and Physics Foundations of Tensor Analysis.
Key concepts: Tensor calculus, Multilinear algebra, Tensor (intrinsic definition), Multilinear map, Cartesian tensor, Tensor contraction, Mathematics, Invariants of tensors