商品簡介
A curve, as used in this text, follows on from Georg Cantor's demonstration "that a line and a plane contain the same number of points by displaying a map from the unit interval I onto the unit square U = I x I" and is considered "the image of a nontrivial continuous map from I into the plane." Darst (Colorado State U.), Palagallo (U. of Akron), and Price (U. of Akron) explore the geometrical and topological mathematics of curves and related sets in a plane, addressing the interaction of Cantor sets, curves, maps, fixed points, and the mathematics of fractal geometry. Annotation c2011 Book News, Inc., Portland, OR (booknews.com)
