6533b857fe1ef96bd12b4d49

RESEARCH PRODUCT

Vectors, Tensors, Manifolds and Special Relativity

Victor Ilisie

subject

AlgebraTensor productComputer scienceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFour-forceTensorTensor algebraIntroduction to the mathematics of general relativityTensor calculusSpecial relativity (alternative formulations)Tensor field

description

Assuming that the reader is familiar with the notion of vectors, within a few pages, with a few examples, the reader will get to be familiar with the generic picture of tensors. With the specific notions given in this chapter, the reader will be able to understand more advanced tensor courses with no further effort. The transition between tensor algebra and tensor calculus is done naturally with a very familiar example. The notion of manifold and a few basic key aspects on Special Relativity are also presented.

https://doi.org/10.1007/978-3-319-22966-9_1