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Transformations of 3-Space

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

Abstract

As in the planar case, we define a transformation of 3-space to be a rule T which assigns to every vector X of 3-space some vector T(X) of 3-space. The vector T(X) is called the image of X under T, and the collection of all vectors which are images of vectors under the transformation T is called the range of T. We denote transformations by capital letters, such as A, B, R, S, T, etc.

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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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