Overview

This text on geometry with computer modelling presents some elementary for analytical modelling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, colours, and then further studies more complex problems in differential geometry.

Full Product Details

Author:   Vladimir Rovenskii
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
ISBN:  

9783764340742

ISBN 10:   3764340746
Pages:   320
Publication Date:   December 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Replaced By:   9780817640743
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Part 1 Functions and graphs with MAPLE: graphs of tabular and continuous functions; graphs of composed functions; interpolation of functions; smoothing of functions. Part 2 Curves with MAPLE: plane curves in rectangular coordinates; curves in polar coordinates; asymptotes of curves; space curves; tangent lines to a curve; singular points of curves; length and centre of mass of a curve; curvature and torsion of curves; fractal curves and dimension; spline curves; non-Euclidean geometry on the half-plane; convex hulls. Part 3 Polyhedra with MAPLE: regular polyhedra; semi-regular polyhedra. Part 4 Surfaces with MAPLE: surfaces in space; some classes of surfaces; some other classes of surfaces.

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