Exploring Analyic Geometry with Mathematica®

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by Donald L. Vossler

The study of two-dimensional analytic geometry has gone in and out of fashion several times over the past century.  This classic field of mathematics has once again become popular due to the growing power of personal computers and the availability of powerful mathematical software systems, such as Mathematica, that can provide an interactive environment for studying the field.

By combining the power of Mathematica with an analytic geometry software system called Descarta2D, the author has succeeded in meshing an ancient field of study with modern computational tools, the result being a simple, yet powerful, approach to studying analytic geometry.  Students, engineers and mathematicians alike who are interested in analytic geometry can use this book and software for the study, research or just plain enjoyment of analytic geometry.

A classic study in analytic geometry, complete with in-line Mathematica dialogs illustrating every concept as it is introduced.

• Excellent theoretical presentation
• Fully explained examples of all key concepts.

Interactive Mathematica notebooks for the entire book.

• provides a complete computer-based environment for study of analytic geometry
• all chapters and reference material are provided in Mathematica notebook files in addition to being printed in the book.

Complete software system: Descarta2D

• a software system, including source code, for the underlying computer implementation, called Descarta2D is provided
• Part VII of the book is a listing of the (30) Mathematica files notebooks supporting Descarta2D
• the source code is also provides.


• More than 120 challenging problems in analytic geometry are posed
• Complete solutions are provided both as interactive Mathematica notebooks and as printed material in the book.

Mathematica and Descarta2D Hints are provided to expand the reader's knowledge and understanding of Mathematica and Descarta2D.

Detailed reference manual

• Complete documentation for Descarta2D
• Fully integrated into the Mathematica Help Browser.

About the author

Donald L. Vossler is a mechanical engineer and computer software designer with more than 25 years experience in computer aided design and geometric modeling.  He has been involved in solid modeling since its inception in the early 1980's and has contributed to the theoretical foundation of the subject through several published papers.  He has managed the development of a number of commercial computer aided design systems and holds a US Patent involving the underlying data representations of geometric models.

Notebook Files

Full contents of book are available at www.Descarta2D.com. This edition of the notebooks is compatible with Mathematica Version 6.

Copyright © 1999-2007 Donald L. Vossler, Descarta2D Publishing