This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product. J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.
發表於2024-12-23
Geometrical Properties of Vectors and Covectors 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 數學-微分幾何 數學-張量 幾何
Geometrical Properties of Vectors and Covectors 2024 pdf epub mobi 電子書 下載