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Vector Spaces with an Inner Product

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

Abstract

We found it useful to introduce the dot product of two vectors in order to study the geometry of ℝ2 and ℝ3. There is a natural generalization of the dot product to an arbitrary vector space, which is called an inner product.

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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