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