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함수의 변환
Function Transformations
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 function transformations, and
explains what such transformations are about, how they
get made, how they work, and what we can do with
them and how to use them. What
then are they for?
A function transformation is a math idea, is a part of
analytic geometry, and is a math tool that can change
functions. And we use it to move some functions the
way we want so that we can get to the solutions.
Thus, this helps you get the idea of a function
transformation, the concept, and you will get to see
how to work with it, because this book explains many
basic transformations, how they get made, and how
they work, along with their nature so that you can
develop your own idea, to solve problems, of course.
This is in fact, for your algebra.
What albegra?
Elementary algebra, so it’s for your manipulation skills
of math expressions.
Doing math of high caliber, we need to be able to
manipulate math expressions of many kinds with ease
and fast enough.
And you will grow your algebra 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
math tools 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:
Function Transformations, 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.
May your math run very well.
Seong R. Kim
B.S. Math. Michigan Technologicel
University
M.S. Math. Rensselaer
Polytechnic Institute
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