Analytic Geometry of Euclidean Spaces

  • Géza Schay


We begin by describing some geometrical concepts. This approach may seem strange in a book on algebra, but the influence of geometry is fundamental to our subject, since the underlying geometrical ideas provide motivation, examples, and applications for the algebraic constructions. In fact, the adjective “linear” in this book’s title means “pertaining to lines” (which in mathematics usually mean straight lines), and indicates the geometric origins of linear algebra.


Euclidean Space Position Vector Nonzero Vector Coordinate Vector Analytic Geometry 


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Géza Schay
    • 1
  1. 1.Department of MathematicsUniversity of MassachusettsBostonUSA

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