A Vector Space Approach to Geometry

Nonfiction, Science & Nature, Mathematics, Vector Analysis, Geometry
Cover of the book A Vector Space Approach to Geometry by Melvin Hausner, Dover Publications
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Author: Melvin Hausner ISBN: 9780486137858
Publisher: Dover Publications Publication: October 30, 2012
Imprint: Dover Publications Language: English
Author: Melvin Hausner
ISBN: 9780486137858
Publisher: Dover Publications
Publication: October 30, 2012
Imprint: Dover Publications
Language: English

The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science. In-depth discussions include a review of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. 1965 edition.

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The effects of geometry and linear algebra on each other receive close attention in this examination of geometry’s correlation with other branches of math and science. In-depth discussions include a review of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. 1965 edition.

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