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원뿔 곡선
Conic Sections
Students need the best teacher, so you need examples,
because examples are the best teacher. All the
examples here are fully worked, and help run your math
easier and fast enough.
And this book covers conic sections, often just called
conics. What then is conics about?
Conics is about equations indicating lines, parabolas,
circles, ellipses, and hyprbolas, which are common
curves you often need to handle doing school math.
Among all those, most often used are the equations
indicating lines, that is, equations for lines, often called
linear equations and also, equations of degree 1.
The next is, that is, the second most often used are the
equations indicating parabolas, equations for parabolas,
often called quadratic equations and also, equations of
degree 2.
And the others in conics are circles, ellipses, and
hyperbolas.
This book explains what such an equation is about, how
it gets made, how it behaves, what we can do with it,
and how to use it. What then is
it for?
For instance, a line is a math concept, and gives us a
math tool called a slope. And we use it to see how fast
or slow things can change.
Who doesn’t know though, what a line is? A line is the
simplest of all, isn’t it? So why bother learning it?
When it comes to a problem though, it is not that
simple. It is often the case students get trouble finding
the line they want or using a line so that they can get
to the solution. It’s primarily because they are not quite
sure of the concep of a line, math idea called a line and
what a line is about in math.
Thus, this book helps get the idea of a line, the concept,
and you will get to see how to find it and how to use it
properly, because the book explains what a line is and
how it works, together with its nature so that you can
develop your own idea to find it and to make use of it,
solving problems, of course.
And the same is true also, for parabolas, circles,
ellipses, and hyperbolas.
This book is in fact, for your algebra, and helps grow
it through examples. Some examples may look too easy
or too hard. It all depends on your skill of algebra.
Whatever your skill may be though, you can grow yours
following the steps in each example. Each is detailed so
that you can learn how to handle math expressions fast,
and increase your caliber in algebra quickly, as well as
properly.
You should not just follow steps in the books or
example sets. After your understanding, you should
solve all examples by yourself without looking at the
steps. If only you do it yourself, it’s all yours.
And doing it, put your steps in your writing without
looking at the steps in the solution pages. Also, use a
pen, not a pencil. Making an error, just cross that out
with a single strike only, put the correction next to it,
and move on so that you can check what you have
done. Using erasers, you cannot see what you have
done. We learn a lot from mistakes. And that’s not it.
You can find and get a lot of examples, practice
sets, on this website: www.runmath.com. Thus, you
may want to go to the web page for the book samples
and practice examples, and get them downloaded
and do them all.
The book is available at Amazon. (The key words: Conic
Sections, Seong Kim) You can read the sample or get it
downloaded clicking the logo
button below. Using a pdf
reader, your reading
the sample is much easier.
If you want to go back to the previous page to see and
do examples in conics, click the logo button below.
May your math run very well.
Seong R. Kim
B.S. Math. Michigan Technological
University
M.S. Math. Rensselaer Polytechnic
Institute
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