Transformations of n-Space, n ≥ 4

  • Thomas Banchoff
  • John Wermer
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

By a transformation of 4-space, we mean a rule T which assigns to each vector X of ℝ4 some vector T(X) of ℝ4. The vector T(X) is called the image of X under T, and the collection of all images of vectors in ℝ4 under the transformation T is called the range of T. We continue to denote transformations by capital letters such as P, Q, R, S, T.

Keywords

Dinate 

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Thomas Banchoff
    • 1
  • John Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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