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Geometrical Properties of Vectors and Covectors~tqw~ darksiderg

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Name:Geometrical Properties of Vectors and Covectors~tqw~ darksiderg

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Torrent description

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Geometrical Properties of Vectors and Covectors
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General Information
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Type.................: Ebook
Part Size............: 18,751,765 bytes




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Post Information
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Posted by............: ~tqw~

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Release Notes
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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.

Table of Contents

Preface v
Topological Spaces 1
Metric Tensor 7
Differentiable Manifolds 13
Basic definitions 13
Tangent vectors and spaces 17
Parallelization 24
Metric Dual 27
Tensors 39
r-Forms 45
Orientation of a Manifold 55
Hodge Star Operator 61
Wedge Product and Cross Product 65
Bibliography 69
Index 71

Product Details

* ISBN: 9812700447
* ISBN-13: 9789812700445
* Format: Hardcover, 73pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: October 2006

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