• Kristopher Tapp
Part of the Undergraduate Texts in Mathematics book series (UTM)


For the remainder of the book, we turn our attention from curves to surfaces. The graphs of functions of two variables are familiar examples of surfaces from multivariable calculus. Whereas a curve locally looks like its tangent line, \(\mathbb{R}^{1}\), a surface locally looks like its tangent plane, \(\mathbb{R}^{2}\). Thus, we are moving from intrinsically one-dimensional to intrinsically two-dimensional objects.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Kristopher Tapp
    • 1
  1. 1.Department of MathematicsSaint Joseph’s UniversityPhiladelphiaUSA

Personalised recommendations