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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© 1992 Springer-Verlag New York, Inc.
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Banchoff, T., Wermer, J. (1992). Curvature of Function Graphs. In: Linear Algebra Through Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4390-8_35
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DOI: https://doi.org/10.1007/978-1-4612-4390-8_35
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8752-0
Online ISBN: 978-1-4612-4390-8
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