Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos.

Format:

Book

Author/Creator:

Domingos, Joaquim M.

Language:

English

Subjects (All):

Vector analysis.

Manifolds (Mathematics).

Physical Description:

1 online resource (vii, 73 p. ) ill.

Edition:

1st ed.

Place of Publication:

Hackensack, NJ : World Scientific, c2006.

Language Note:

English

Summary:

"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."

Contents:

1. Topological spaces

2. Metric tensor

3. Differentiable manifolds. 3.1 Basic definitions. 3.2. Tangent vectors and spaces. 3.3. Parallelization

4. Metric dual

5. Tensors

6. r-Forms

7. Orientation of a manifold

8. Hodge star operator

9. Wedge product and cross product.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 69-70) and index.

ISBN:

9786611924447

9781281924445

128192444X

9789812772756

9812772758

OCLC:

820942641