This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.
An exploration of the correlation between geometry and linear algebra which portrays the former as best understood by the use and development of the latter rather than as an independent field. The author discusses systematic geometric motivations in vector space theory and matrix theory, the use of the center of mass in geometry, barycentric coordinates, axiomatic developments of determinants, and the particle problem. An unabridged republication of the work originally published in the "Prentice-Hall Mathematics Series" in 1965. Annotation c. by Book News, Inc., Portland, Or.