A Vector Space Approach to Geometry by Melvin Hausner

A Vector Space Approach to Geometry by Melvin Hausner

A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science -- including physics, analysis, and group theory -- as well as its value in understanding probability, determinant theory, and function spaces.
Outstanding features of this volume include discussions 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. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.

Melvin Hausner is Emeritus Professor at New York University's Courant Institute of Mathematical Sciences. His other books include Elementary Probability Theory and Lie Groups, Lie Algebras.

SKU	Unavailable
ISBN 13	9780486404523
ISBN 10	0486404528
Title	A Vector Space Approach to Geometry
Author	Melvin Hausner
Series	Dover Books On Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2010-07-21
Number of pages	416
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.