Overview
- Covers basic MATLAB® and complex geometrical modeling problems related to analysis and differential equations
- Provides more than 150 stimulating exercises and problems and over 300 figures reproducible using MATLAB®
- Includes applications including numerous examples and exercises from a variety of real-world fields such as physics, engineering, biology, computer science, and IT
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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Table of contents (9 chapters)
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Front Matter
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Functions and Transformations
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Front Matter
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Curves and Surfaces
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Front Matter
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Back Matter
Keywords
About this book
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, transformations using matrices, and then studies more complex geometrical modeling problems related to analysis of curves and surfaces. 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 greatly extends the author’s previous title, Geometry of Curves and Surfaces with Maple (Birkhäuser, © 2000), and has a different focus. In addition to being applications driven and motivated by numerous examples and exercises from real-world fields, the book also contains over 60 percent new material, including new sections with complex numbers, quaternions, matrices and transformations, hyperbolic geometry, fractals, and surface-splines and over 300 figures reproducible using MATLAB® programs.
This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines, engineers, computer scientists, and instructors of applied
mathematics.
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)Authors and Affiliations
Bibliographic Information
Book Title: Modeling of Curves and Surfaces with MATLAB®
Authors: Vladimir Rovenski
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-0-387-71278-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Business Media, LLC, part of Springer Nature 2010
Hardcover ISBN: 978-0-387-71277-2Published: 10 June 2010
Softcover ISBN: 978-1-4939-3896-4Published: 23 August 2016
eBook ISBN: 978-0-387-71278-9Published: 03 July 2010
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: XV, 453
Topics: Differential Geometry, Discrete Mathematics, Analysis, Geometry, Computer Graphics, Visualization