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Plane Curves and Space Curves

  • Shoshichi KobayashiEmail author
Chapter
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

If we draw the graph of a function y = f (x) on the plane, we obtain a curve. For example, the graph of y = x2 is a parabola. Similarly, the graph of a function x = g(y), for example x = y2, is also a curve. Both y = f (x) and x = g(y) have one of the variables as an independent variable, and the other as a dependent variable. So x and y are not equally treated. If we rewrite these in the form yf (x) = 0 or x –g(y) = 0, we can unify them in the form.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

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