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Deposit #81

Louis A. Talman
Dept. of Mathematical and Computer Sciences
Metropolitan State University


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Talman created individual images for the Quick Time Movie  using
Wolfram Mathematica®

Contour map graphic

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How to Visualize a Contour Map ~

This section . . . .

from . . .
Starting animation
from a three-dimensional representation . . . . . . . .
Ending animation
to a planar curve or map.

signature 2007

Did you know . . .
Contour curves, also known as topographic maps, have an enormous number of applications in applied mathematics.  Mining and oil exploration, weather maps, contours of temperature (isotherms) and pressure (isobars) are a few examples.  Basically, these curves or maps are a way to display three-dimensional features on a planar surface.

References that should be in most university libraries.
Gray, Alfred, Modern Differential Geometry of Curves and Surfaces with MATHEMATICA®, CRC Press, 1998, p. 300.

McQuarrie, Donald A., Mathematical Methods for Scientists and Engineers, University Science Books, 2003, pp. 234-235.

Hughes-Hallet, Gleason, McCallum, et al., Calculus, Single and
4th ed., John Wiley and Sons, 2005, Section 12.3, pp. 618-629.

Stewart, James, Essential Calculus: Early Transcendentals, Thomson:Brooks/Cole, 2007, pp. 594-595.
Stewart, James, Calculus: Early Transcendentals 5e ed., Thomson:Brooks/Cole, 2003, p. 893
Stewart, James, Calculus 5e ed., Thomson:Brooks/Cole, 2003, p. 929.

The National Curve Bank thanks Lou Talman for Deposit #81.

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