Modeling of Curves and Surfaces with MATLAB®

Vladimir Rovenski

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Hardback

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English

Springer-Verlag New York Inc.
10 June 2010

Discrete mathematics; Calculus & mathematical analysis; Differential calculus & equations; Geometry; Differential & Riemannian geometry; Combinatorics & graph theory; Graphics programming

Series: Springer Undergraduate Texts in Mathematics and Technology

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.

By: Vladimir Rovenski
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 2010 ed.
Volume: v. 7
Dimensions: Height: 254mm, Width: 178mm, Spine: 25mm
Weight: 2.270kg
ISBN: 9780387712772
ISBN 10: 0387712771
Series: Springer Undergraduate Texts in Mathematics and Technology
Pages: 453
Publication Date: 10 June 2010
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reviews for Modeling of Curves and Surfaces with MATLAB®

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)