Modeling of Curves and Surfaces with MATLAB®

Hardcover | June 10, 2010

byVladimir Rovenski

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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® 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.

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From the Publisher

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 comp...

From the Jacket

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 comp...

Format:HardcoverDimensions:468 pages, 10 × 7.01 × 0.01 inPublished:June 10, 2010Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387712771

ISBN - 13:9780387712772

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Table of Contents

Preface.- Part 1: Functions and Transformations.- Functions and Graphs.-Rigid Motions (Isometries).- Affine and Projective Transformations.-Mobius Transformations.- Part 2: Curves and Surfaces.- Examples of Curves.- Geometry of Curves.- Surfaces.- Geometry of Surfaces.- Examples of Surfaces.-Piecewise Curves and Surfaces.- Appendix: M-files.-References.- Index.

Editorial Reviews

From the reviews:"The book is devoted to various geometrical topics as graphs of functions, transformations, curves and surfaces as well as their applications in many other disciplines. . The book is written for a large audience of advanced undergraduate and postgraduate students, engineers and computer scientists, instructors of applied mathematics and it is an excellent textbook to be used in lectures as well as for self-study reference." (Marian Ioan Munteanu, Zentralblatt MATH, Vol. 1206, 2011)