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Titlebook: Geometry of Curves and Surfaces with MAPLE; Vladimir Rovenski Textbook 2000 Birkh�user Boston 2000 Computational Geometry.Geometry.Modelin

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书目名称Geometry of Curves and Surfaces with MAPLE
编辑Vladimir Rovenski
视频video
图书封面Titlebook: Geometry of Curves and Surfaces with MAPLE;  Vladimir Rovenski Textbook 2000 Birkh�user Boston 2000 Computational Geometry.Geometry.Modelin
描述This concise text on geometry with computer modeling presents someelementary methods for analytical modeling and visualization of curvesand surfaces.The author systematicallyexamines 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 geomet
出版日期Textbook 2000
关键词Computational Geometry; Geometry; Modeling & Simulations; ksa; animation; Area; computational geometry; com
版次1
doihttps://doi.org/10.1007/978-1-4612-2128-9
isbn_softcover978-1-4612-7425-4
isbn_ebook978-1-4612-2128-9
copyrightBirkh�user Boston 2000
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ave 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 geomet978-1-4612-7425-4978-1-4612-2128-9
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Space Curveselix type curves lying on a cylinder, a sphere, a torus and other surfaces of revolution. In Section 8.3 we study remarkable MAPLE strategies for producing splendid views (of three-dimensional objects) with coloring, shadows and moving. We plot curves that are intersections of two surfaces: the Vivi
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Kolorimetrie und Nephelometrie,d in Section 11.2, we find characteristics for a regularly inscribed polygon (i.e., a polygonal approximation to the curve) and compare them with the results obtained by integrating velocity along the curve.
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