Editing Level set (section)

==Alternative names==

[[Image:trefoil knot level curves.png|thumb|Intersections of a [[co-ordinate]] function's level surfaces with a [[trefoil knot]].  Red curves are closest to the viewer, while yellow curves are farthest.]]

Level sets show up in many applications, often under different names.  For example, an [[implicit curve]] is a level curve, which is considered independently of its neighbor curves, emphasizing that such a curve is defined by an [[implicit equation]]. Analogously, a level surface is sometimes called an implicit surface or an [[isosurface]].

The name isocontour is also used, which means a contour of equal height. In various application areas, isocontours have received specific names, which indicate often the nature of the values of the considered function, such as [[isobar (meteorology)|isobar]], [[isotherm (contour line)|isotherm]], [[Contour line#Types|isogon]], [[isochrone map|isochrone]], [[isoquant]] and [[indifference curve]].