Geometry of Curves and Surfaces with MAPLE - Softcover

Rovenski, Vladimir

Softcover

ISBN 10: 1461274257 ISBN 13: 9781461274254

Publisher: Birkhäuser, 2012

Synopsis

[see attached for complete text] This concise text on geometry with computer modeling is aimed at a broad audience of students, instructors, engineers, and computer scientists who have knowledge of analytical geometry, i.e., method of coordinates. Key features of this work include: * over 350 excellent illustrations * large number of Maple programs, some of which are analgous to C++ programs, available on the Birkhauser web site * presentation of practical tools, including 2-D and 3-D animation of geometric images, transformations, shadows, and colors,

About this title

Review

"I was hunting for a book that would provide a set of practical exercises for the students of a graduate course entitled 'Geometric Modeling for Computer Graphics'.... The title of [this] book sounds appealing for such a purpose.... Almost every topic you could imagine about curves and surfaces is somewhere inside: this includes common, and less common, definitions and properties (parametric and implicit form, rectangular and polar form, tangent, asymptote, envelope, normal, curvature, torsion, twist, length, center of mass, evolute and involute, pedal and podoid, etc) as well as the whole menagerie of usual, and less usual, curves and surfaces (polynomials and rational polynomials, B-splines, Bezier,  Hermite, Catmul--Rom, Beta-splines, scalar and vector fields, polygons and  polyhedra, fractals, etc).

Of course 310 pages is a bit short to present all these topics deeply, but for each of them, there is at least a definition, an example, a piece of Maple source code and the resulting figure generated by the code (note that all the code pieces can be downloaded from the author’s web page).... The index is rich enough to easily find a topic you are interested in. 

To conclude, the book is clearly valuable for at least three kinds of people: first, people who are familiar with the mathematical aspect of curves and surfaces but unfamiliar with the computation and plotting possibilities providing by Maple; second, people who are familiar with Maple but unfamiliar with curves and surfaces; third, people who are unfamiliar with both topics."
― Computer Graphics Forum

"The book can be recommended to students of mathematics, engineering or computer science, who have already a basic knowledge of MAPLE and are interested in the visualizations of geometry." ---Zentralblatt MATH

Edition details

• Publisher: Birkhäuser
• Publication date: 2012
• Language: English
• ISBN 10: 1461274257
• ISBN 13: 9781461274254
• Binding: Paperback
• Number of pages: 320