Modeling of Curves and Surfaces Using Matlab (Springer Undergraduate Texts in Mathematics and Technology) 〈Vol. 7〉

Rovenski, V. Y.

Springer（2010/06発売）

• 製本 Hardcover:ハードカバー版／ページ数 452 p.／サイズ 156 illus.
• 商品コード 9780387712772

基本説明

This concise text on geometry with applications in a variety of disciplines is devoted to three main geometrical topics: curves, surfaces, and polyhedra.

Full Description

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB(R) including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Contents

Functions and Transformations.- Functions and Graphs.- Rigid Motions (Isometries).- Affine and Projective Transformations.- Möbius Transformations.- Curves and Surfaces.- Examples of Curves.- Geometry of Curves.- Geometry of Surfaces.- Examples of Surfaces.- Piecewise Curves and Surfaces.