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Discovering Curves and Surfaces with Maple®

  • Grażyna Klimek
  • Maciej Klimek

Table of contents

  1. Front Matter
    Pages i-xi
  2. Grażyna Klimek, Maciej Klimek
    Pages 1-8
  3. Grażyna Klimek, Maciej Klimek
    Pages 9-26
  4. Grażyna Klimek, Maciej Klimek
    Pages 27-59
  5. Grażyna Klimek, Maciej Klimek
    Pages 61-103
  6. Grażyna Klimek, Maciej Klimek
    Pages 105-134
  7. Grażyna Klimek, Maciej Klimek
    Pages 135-163
  8. Grażyna Klimek, Maciej Klimek
    Pages 165-175
  9. Grażyna Klimek, Maciej Klimek
    Pages 177-197
  10. Grażyna Klimek, Maciej Klimek
    Pages 199-210
  11. Back Matter
    Pages 211-217

About this book

Introduction

Despite the fact that Maple V has become one of the most popular computer algebra systems on the market, surprisingly few users realize its potential in the field of scientific visualization. The purpose of this book is to equip the reader with a variety of graphics tools needed on the voyage of discovery into the complex and often beautiful world of curves and surfaces. A comprehensive treatment of Maple's graphics commands and structures is combined with an introduction to the main aspects of visual perception. Top priority is given to the use of light, color, perspective, and geometric transformations. Numerous examples, accompanied by pictures (many in color), cover all aspects of Maple graphics. The examples can be easily customized to suit the individual needs of the reader. The approach is context independent, and as such will appeal to students, educators, and researchers in a broad spectrum of scientific disciplines. For the general user at any level of experience, this book can serve as a comprehensive reference manual. For the beginner, it offers a user- friendly elementary introduction to the subject, with mathematical requirements kept to a minimum. For those interested in advanced mathematical visualization, it explains how to maximize Maple's graphical capabilities. In particular, this book shows how to turn Maple into an excellent modeling tool capable of generating elaborate surfaces that conventional modelers cannot produce. These surfaces can be exported to an external ray tracer (e.g. POV-ray) for sophisticated photo-realistic rendering. All of the Maple code segments which are presented in the book, as well as high-resolution pictures showing alternative renderings of some of the book's color plates, are included on the accompanying DOS diskette.

Keywords

Editing Mathematica computer computer algebra data structures differential equation minimum modeling visualization

Authors and affiliations

  • Grażyna Klimek
    • 1
  • Maciej Klimek
    • 2
  1. 1.UppsalaSweden
  2. 2.Department of MathematicsUppsala UniversityUppsalaSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1826-5
  • Copyright Information Springer-Verlag New York, Inc. 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7301-1
  • Online ISBN 978-1-4612-1826-5
  • Buy this book on publisher's site