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This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2D and 3D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Wellillustrated with more than 350 figuresreproducible using Maple programs in the bookthe work is devoted to three main curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or selfstudy reference. With over 100 stimulating exercises, problems and solutions, {it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non Euclidean geometries with more current computer algebra systems in a practical and userfriendly format.
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