The textbook is based on a course in classical differential geometry of surfaces that Montiel and Ros taught for several years at the University of Grenada in Spain, and has been used in graduate and undergraduate courses for mathematicians, physicists, and engineers. Readers are assumed to know the basics of linear algebra, the topology of Euclidean space, the calculus of two and three variables, and the rudiments of the theory of ordinary differential equations. They should also be acquainted with the theory of Lebesgue integration, which rather gives away the book's secret ingredient. The topics include surfaces in Euclidean space, separation and orientability, global extrinsic geometry, and the global geometry of curves. This edition is translated and revised from Superficies, published by Proyecto Sur de Ediciones in 1998. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)