Three-Dimensional Graphs

Stan Wagon ()
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Stan Wagon: Macalester College, Department of Mathematics and Computer Science

Chapter 4 in Mathematica in Action, 2010, pp 113-140 from Springer

Abstract: Abstract For functions of one variable, a unique critical point that is a local maximum is necessarily a global maximum. But this is false in higher dimensions. An example is the graph shown, of the function 3 x e y – x 3 – e 3y : there is only one critical point and it is a local maximum but not a global one.

Keywords: Saddle Point; Local Maximum; Contour Plot; Global Maximum; Walk Away (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-75477-2_5

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