Springer Undergraduate Texts in Mathematics and Technology

Modeling of Curves and Surfaces with MATLAB®

Authors: Rovenski, Vladimir

  • - Covers basic MATLAB® as well as complex geometrical modeling problems related to analysis and differential equations
  • - Integrates traditional differential and non-Euclidean geometries with current computer systems in a practical and user-friendly format
  • - Provides more than 150 stimulating exercises and problems and over 300 figures reproducible using Matlab
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eBook $54.99
price for USA (gross)
  • ISBN 978-0-387-71278-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA
  • ISBN 978-0-387-71277-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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)

Table of contents (9 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-0-387-71278-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA
  • ISBN 978-0-387-71277-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Modeling of Curves and Surfaces with MATLAB®
Authors
Series Title
Springer Undergraduate Texts in Mathematics and Technology
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-71278-9
DOI
10.1007/978-0-387-71278-9
Hardcover ISBN
978-0-387-71277-2
Series ISSN
1867-5506
Edition Number
1
Number of Pages
XV, 453
Topics