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Geometry of Curves and Surfaces with MAPLE

  • Vladimir Rovenski
Textbook

Table of contents

  1. Front Matter
    Pages i-x
  2. MAPLE V: A Quick Reference

    1. Vladimir Rovenski
      Pages 1-4
  3. Functions and Graphs with MAPLE

    1. Front Matter
      Pages 5-5
    2. Vladimir Rovenski
      Pages 7-20
    3. Vladimir Rovenski
      Pages 21-32
    4. Vladimir Rovenski
      Pages 33-40
    5. Vladimir Rovenski
      Pages 41-44
  4. Curves with MAPLE

    1. Front Matter
      Pages 45-45
    2. Vladimir Rovenski
      Pages 47-60
    3. Vladimir Rovenski
      Pages 61-74
    4. Vladimir Rovenski
      Pages 75-78
    5. Vladimir Rovenski
      Pages 79-94
    6. Vladimir Rovenski
      Pages 95-109
    7. Vladimir Rovenski
      Pages 111-116
    8. Vladimir Rovenski
      Pages 117-123
    9. Vladimir Rovenski
      Pages 125-132
    10. Vladimir Rovenski
      Pages 133-149
    11. Vladimir Rovenski
      Pages 151-171
    12. Vladimir Rovenski
      Pages 173-187
    13. Vladimir Rovenski
      Pages 189-190
  5. Polyhedra with MAPLE

    1. Front Matter
      Pages 191-191
    2. Vladimir Rovenski
      Pages 193-210
    3. Vladimir Rovenski
      Pages 211-228
  6. Surfaces with MAPLE

    1. Front Matter
      Pages 229-229
    2. Vladimir Rovenski
      Pages 231-264
    3. Vladimir Rovenski
      Pages 265-290
    4. Vladimir Rovenski
      Pages 291-302
  7. Back Matter
    Pages 303-310

About this book

Introduction

This concise text on geometry with computer modeling presents some elementary methods for analytical modeling and visualization of curves and surfaces. The author systematically examines such powerful tools as 2-D and 3-D animation of geometric images, transformations, shadows, and colors, and then further studies more complex problems in differential geometry. Well-illustrated with more than 350 figures---reproducible using Maple programs in the book---the work is devoted to three main areas: curves, surfaces, and polyhedra. Pedagogical benefits can be found in the large number of Maple programs, some of which are analogous to C++ programs, including those for splines and fractals. To avoid tedious typing, readers will be able to download many of the programs from the Birkhauser web site. Aimed at a broad audience of students, instructors of mathematics, computer scientists, and engineers who have knowledge of analytical geometry, i.e., method of coordinates, this text will be an excellent classroom resource or self-study reference. With over 100 stimulating exercises, problems and solutions, {\it Geometry of Curves and Surfaces with Maple} will integrate traditional differential and non- Euclidean geometries with more current computer algebra systems in a practical and user-friendly format.

Keywords

Computational Geometry Geometry Modeling & Simulations ksa animation Area computational geometry computer algebra Dragon curve fractal Geometrie mathematics modeling Peano curve plane polygon simulation Spline visualization

Authors and affiliations

  • Vladimir Rovenski
    • 1
  1. 1.Department of MathematicsUniversity of Haifa and TechnionHaifaIsrael

Bibliographic information