Vossler D. - Exploring Analytic Geometry with Mathematica.pdf - Geometry - Kuya

Exploring Analytic Geometry

with Mathematica R

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Exploring Analytic Geometry

with Mathematica R

Donald L. Vossler

BME, Kettering University, 1978

MM, Aquinas College, 1981

ACADEMIC PRESS

San Diego London Boston

New York Sydney Tokyo Toronto

Preface

The study of two-dimensional analytic geometry has gone in and out of fashion several times

over the past century, however this classic eld 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 study-

ing the eld. By combining the power of Mathematica with an analytic geometry software

system called Descarta 2D , the author has succeeded in meshing an ancient eld 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 ana-

lytic geometry can use this book and software for the study, research or just plain enjoyment

of analytic geometry.

Mathematica provides an attractive environment for studying analytic geometry. Mathe-

matica supports both numeric and symbolic computations, meaning that geometry problems

can be solved numerically, producing approximate or exact answers, as well as producing gen-

eral formulas with variables. Mathematica also has good facilities for producing graphical

plots which are useful for visualizing the graphs of two-dimensional geometry.

Features

Exploring Analytic Geometry with Mathematica , Mathematica and Descarta 2D provide the

following outstanding features:

The book can serve as classical analytic geometry textbook with in-line Mathematica

dialogs to illustrate key concepts.

A large number of examples with solutions and graphics is keyed to the textual devel-

opment of each topic.

Hints are provided for improving the reader's use and understanding of Mathematica

and Descarta 2D .

More advanced topics are covered in explorations provided with each chapter, and full

solutions are illustrated using Mathematica .

Vossler D. - Exploring Analytic Geometry with Mathematica.pdf

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