عنوان

Geometry of Curves and Surfaces with MAPLE

(Number (ISBN

9781461221289

(Number (ISBN

9781461274254

Number

b402869

Title Proper

Geometry of Curves and Surfaces with MAPLE

General Material Designation

[Book]

First Statement of Responsibility

by Vladimir Rovenski.

Place of Publication, Distribution, etc.

Boston, MA :

Name of Publisher, Distributor, etc.

Birkhäuser Boston,

Date of Publication, Distribution, etc.

2000.

Text of Note

MAPLE V: A Quick Reference -- I Functions and Graphs with MAPLE -- 1 Graphs of Tabular and Continuous Functions -- 2 Graphs of Composed Functions -- 3 Interpolation of Functions -- 4 Approximation of Functions -- II Curves with MAPLE -- 5 Plane Curves in Rectangular Coordinates -- 6 Curves in Polar Coordinates -- 7 Asymptotes of Curves -- 8 Space Curves -- 9 Tangent Lines to a Curve -- 10 Singular Points on Curves -- 11 Length and Center of Mass of a Curve -- 12 Curvature and Torsion of Curves -- 13 Fractal Curves and Dimension -- 14 Spline Curves -- 15 Non-Euclidean Geometry in the Half-Plane -- 16 Convex Hulls -- III Polyhedra with MAPLE -- 17 Regular Polyhedra -- 18 Semi-Regular Polyhedra -- IV Surfaces with MAPLE -- 19 Surfaces in Space -- 20 Some Classes of Surfaces -- 21 Some Other Classes of Surfaces -- References.

0

Text of Note

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 geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using 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, 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 self-study 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 user-friendly format.

International Standard Book Number

9781461274254

Title

Springer eBooks

Computer graphics.

Computer science.

Computer simulation.

Geometry.

Mathematics.

Rovenski, Vladimir.

SpringerLink (Online service)

Date of Transaction

20190301082600.0

Electronic name

[Book]

Y