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World Scientific Publishing Company World Scientific Geometrical Properties of Vectors and Covectors

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Description

Gain a clear understanding of advanced mathematical concepts with Geometrical Properties of Vectors and Covectors by J M Domingos. Published by World Scientific Publishing Company, this book serves as a brief introduction to essential geometrical topics for students and readers approaching the subject for the first time. The text covers fundamental areas including topological spaces, the metric tensor, Euclidean space, and manifolds. It provides a structured look at tensors, r-forms, the orientation of a manifold, and the Hodge star operator. By focusing on the geometrical properties of vectors and covectors, this work helps build a solid foundation for higher-level mathematical study. This resource is designed to prepare readers for complex discussions regarding the differential of a function as a covector, metric dual, inner product, wedge product, and cross product. It is an ideal starting point for those looking to master the basics of differentiable manifolds and tensor analysis.

Key Features

Provides a brief introduction to topological spaces, the metric tensor, and Euclidean space for new learners.

Covers essential topics including manifolds, tensors, r-forms, and the Hodge star operator.

Builds a deep understanding of the geometrical properties of both vectors and covectors.

Prepares readers for advanced discussions on the metric dual, inner product, and wedge product.

Explains the differential of a function as a covector to assist in mathematical progression.

Includes foundational material on the orientation of a manifold and the cross product.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 October 2006
Listed Since
19 February 2007

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