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World Scientific Publishing Company Geometrical Properties of Vectors and Covectors - Manifolds and Tensors

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Description

This introductory survey by J M Domingos provides a comprehensive foundation in differential geometry for readers new to the subject. The book covers essential topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, manifold orientation and the Hodge star operator. It builds understanding of geometrical properties specific to vectors and covectors, preparing readers to engage with core concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product. Published by World Scientific Publishing Company, this text bridges foundational material with practical applications in mathematical analysis and advanced geometry.

Key Features

Covers topological spaces, metric tensor and Euclidean space as foundational topics for differentiable manifolds.

Explores tensors, r-forms and the Hodge star operator with focus on their geometrical properties.

Explains the differential of a function as a covector and metric dual relationships.

Introduces wedge product and cross product concepts within the framework of vector and covector geometry.

Designed for readers approaching differential geometry for the first time seeking deeper geometric understanding.

Product Specifications

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

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No barcode data available

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