Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms by Joaquim Maria Domingos (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐challenging

⭐This book gives a concise and relatively clear introduction to differential manifolds, tensors and forms. It has no problems, so it would probably be best suited as a supplement. But it’s difficult to justify its price, at over $1 per printed page of the main text (excluding the front matter and the index, there are only 67 pages of main text, 6 of which are blank pages).

⭐Clear and precise exposition of manifolds and tensors without a lot of handwaving.

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Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms 2006 PDF Free Download
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