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- W4301746055 abstract "Extract This appendix develops some of the mathematical tools necessary to understand the first part of this book. It is not a complete mathematical treatise. Algebraic Theory of Tensors In non-relativistic classical physics, it is natural to choose the Euclidean space R3 as the configuration space and to equip this space with a Cartesian system of coordinates such that a point x of space is represented by (x1,x2,x3). If the system under interest has a spherical symmetry, then it is natural to take spherical coordinates characterised by r,θ,ϕ. The equations of physics can be expressed in any of these systems of coordinates. In relativistic physics, the configuration space is the space–time whose points x are represented in Cartesian coordinates by x0=ct,x1,x2,x3. Again, this representation is not unique and we can introduce other systems of coordinates taking into account, for example, some particular symmetry of the system,..." @default.
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- W4301746055 date "2017-02-02" @default.
- W4301746055 modified "2023-09-25" @default.
- W4301746055 title "Tensor Calculus" @default.
- W4301746055 doi "https://doi.org/10.1093/oso/9780198788393.005.0001" @default.
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