Geometry of Curves and Surfaces with MAPLE [Paperback]

This concise text on geometry with computer modeling presents someelementary methods for analytical modeling and visualization of curvesand surfaces. The author systematically examines such powerful toolsas 2-D and 3-D animation of geometric images, transformations,shadows, and colors, and then further studies more complex problems indifferential geometry.Well-illustrated with more than 350 figures---reproducible using Mapleprograms in the book---the work is devoted to three main areas:curves, surfaces, and polyhedra. Pedagogical benefits can be found inthe large number of Maple programs, some of which are analogous to C++programs, including those for splines and fractals. To avoid tedioustyping, readers will be able to download many of the programs from theBirkhauser web site.Aimed at a broad audience of students, instructors of mathematics,computer scientists, and engineers who have knowledge of analyticalgeometry, i.e., method of coordinates, this text will be an excellentclassroom resource or self-study reference. With over 100 stimulatingexercises, problems and solutions, {\it Geometry of Curves andSurfaces with Maple} will integrate traditional differential and non-Euclidean geometries with more current computer algebra systems in apractical and user-friendly format.This concise text on geometry with computer modeling presents someelementary methods for analytical modeling and visualization of curvesand surfaces. The author systematically examines such powerful toolsas 2-D and 3-D animation of geometric images, transformations,shadows, and colors, and then further studies more complex problems indifferential geometry.Well-illustrated with more than 350 figures---reproducible using Mapleprograms in the book---the work is devoted to three main areas:curves, surfaces, and polyhedra. Pedagogical benefits can be found inthe large number of Maple programs, some of which are analogous to C++programs, including those for splines and fractals. To avoid tediousl“ê