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Curvature of Function Graphs

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

Abstract

One of the nicest applications of linear algebra to geometry comes in the study of total curvature of graphs of functions of two variables. We shall see how a very natural construction leads to a self-adjoint linear transformation, the eigenvalues and eigenvectors of which have particular geometric significance.

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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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