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Název:		Geometry of curves and surfaces with MAPLE
Autor:		Rovenskij, Vladimir Juzefovič
Rok vydání:		c2000
Identifikátory:		9780817640743

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Anotace:	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 2-D and 3-D animation of geometrical images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures--reproduceable using the Maple programs in the book--the work is devoted to three main areas: 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, many of the programs can be downloaded from the author's website. Aimed at a broad audience of students, instructors of mathematics, computer scientists and engineers who have a knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, "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 user-friendly format.
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