This book is for young students Gifted or Advanced in math.

This book is in fact, the second third of the book, Algebra Examples Powers and
Logarithms, which explains what powers and logarithms are about and how to
manipulate those expressions, that is, how to change or alter, convert, or modify those so
that you can come up with the ones that you need. The ones are solutions, of course.
And that's what this book is about. This book does not just explain though. But it helps
follow steps to the solutions, too, so that you can get the sense of calculations with
powers and logarithms and see what you are doing when you do such calculations.
And some sample pages are at:
http: //www.runmath.com/ExcerptFromPwrLogSeongKim.pdf

This book is also, about important basics in elementary algebra, and covers equations often used in high schools and early years in college or university.

And the equations are for curves called conic sections, often just called conics. And of the five kinds in conics, three are covered briefly here in this book. One is a circle, another is an ellipse, and the other is a hyperbola. This book is in fact, the abridged version of the three books, Conics 3, Conics 4, and Conics 5.

So this book covers equations for circles, equations for ellipses, and equations for hyperbolas. And the book explains all the basics of and the use of those equations.

And some sample pages are at:
http: //www.runmath.com/ExcerptFromCncsBSeongKim.pdf

This book is for young students Gifted or Advanced in math.

And this book is in fact, the first half the book, Algebra Examples Basic Functions,
which covers functions, and explains what a function is about, how it gets made, what it
does, how it works, and what we can do with it or how to use it.

So you will get the idea of a function, that is, the concept, and get to see how to work
with it, because the book explains, through examples, many basic functions, how they
get made and how they work, along with their nature.

And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromBscFncSeongKim.pdf

This book is for young students Gifted or Advanced in math.

All the same contents in this book are also printed in a larger book (letter size). It is
printed though, with the same font and the same font size, so it only has bigger space
around the text, together with a different cover, and is called Algebra Examples Graph
Operations. And the main reason is that some students prefer a smaller book, because
they can carry it around more easily, whereas some others prefer a larger one, because
they can add their notes more easily.

Anyways, working with a function or equation, we often need to change or modify it.
Changing a function or equation, we can do it changing its curve. And changing it, we
change its location or its form. Why change though?

Doing problems with functions or equations, we often need to change them so that we
can get the ones we want, and can get them readily and fast enough.
And changing functions or equations, we say we do transformations to them, and say we
do function transformations or equation transformations. And doing it, we do it changing
its curve, that is, its graph. So we can call it a graph operation.

In GRAPH OPERATIONS, discussions will be focused on how to change functions or
equations changing their curves. So this book is about curves. And more specifically,
what's covered here is how to put a curve in a graph many different ways. So you will
get to see in this book, how to move, change or alter, or modify a curve, and how to get
the equation of the curve changed, that is, the new equation. And you will get to see also,
how to keep track of the variables used in the equation or function when it is getting
changed.

So we don't just do matrix applications to get a new curve or a new equation or function.
We approach transformations pragmatically rather than theoretically. So you will get to
see what actually changes and how changes are made or happen. Why though?

As mentioned above, doing problems with functions or equations, we often need to
change them so that we can get the solution readily and fast enough. And it is
particularly the case, when we do calculus. Doing it, we often need to manipulate curves
so that we can see how to approach solutions to problems with functions or equations.
We do need to do so not only finding derivatives or integrals but understanding rules or
theorems, too.

Putting curves many different ways, we can often see better how to get the solutions
more readily and faster. We can have many problems where having only to put curves in
graphs, we can see the solutions right away. And also, there are many problems we can
solve only if we know how to manipulate curves as well as how to construct the graphs.

What we actually do solving a problem is in fact, putting the problem many different
ways. That is, putting a problem many ways, we get to see the solution. And also, not
just reading the problem but actually looking at the problem, too, we can see better the
solution's whereabouts. And actually looking at it, we put it in a graph. And some
sample pages are at: http: //www.runmath.com/ExcerptFromGraphOpSeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book is in fact, the last third of the book, Algebra Examples Trigonometry. So this
book is about trigonometry, of course, and is for any student who wants to study it
seriously. And in particular, it covers the area in depth and extent so that it can be good
for those students, too, who want to study calculus later or now in university level, and
want to be science or engineering majors. And some sample pages are at:
http: //www.runmath.com/ExcerptFromTrigSeongKim.pdf

This book is for young students Gifted or Advanced in math.

This is a book of examples, and all the examples are fully worked, and of course, help
you do math better. And this book covers equations indicating circles, that is, equations
for circles, and explains what a circle or the equation is about, how it gets made, what it
does, how it works, and what we can do with it or how to use it.

So you will get the idea of circle, that is, the concept, and get to see how to work with it,
because the book explains, through examples, many equations for circles, how they get
made and how they work, along with their nature.

And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromCncs3SeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book explains what powers and logarithms are about and how to manipulate those
expressions, that is, how to change or alter, convert, or modify those so that you can
come up with the ones that you need. The ones are solutions, of course. And that's what
this book is about. This book does not just explain though. But it helps follow steps to
the solutions, too, so that you can get the sense of calculations with powers and
logarithms and see what you are doing when you do such calculations.

And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromPwrLogSeongKim.pdf

And note that you can get the book in parts, too. There are three parts. One is Algebra
Examples Powers and Logarithms 1, which is the first third of the whole book, which is
this book. Another is Algebra Examples Powers and Logarithms 2, which is the second
third of the book. And the other is the last third, called Algebra Examples Powers and
Logarithms 3.

This book is for young students Gifted or Advanced in math.

Students need the best teacher, so you need examples, because examples are the best
teacher. All the examples in this book are fully worked, and of course, help you do math
better. And this book is about factorizations of polynomials, that is, factoring
polynomials. So the book explains how to manipulate polynomials, that is, how to
change or alter, convert, or modify expressions so that you can come up with the ones
you need. The ones are solutions, of course. And that's what polynomial factorizations
are about. The book does not just explain. But it helps you follow steps to the solutions,
too, so that you can see how you can change expressions, and see how calculations can
flow. So the book will get you not only polynomial factorizations but enhancement of
your algebra, too. You will thus, soon be able to change or alter, convert, or modify
math expressions so that you can get to the solutions fast enough.

And some sample pages are at:
http: //www.runmath.com/ExcerptFromPolyFactor1SeongKim.pdf

And note that you can get the book in parts, too. There are two parts. One is Algebra
Examples Polynomial Factorizations 1, which is the first half the whole book, which is
this book. And the other is the last half, called Algebra Examples Polynomial
Factorizations 2.

This book is for young students Gifted or Advanced in math.

This book is in fact, the last half the book, Algebra Examples Polynomial Factorizations,
which covers polynomial factorizations, and explains what such a factorization is about,
how it works and what we can do with it.

So you will get the idea of a polynomial factorization, that is, the concept, and get to see
how to work with it, because the book explains, through examples, many basic
factorizations with polynomials, along with how they work.

And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromPolyFactor1SeongKim.pdf

This book is for young students Gifted or Advanced in math. This book is in fact, the first half the book, Algebra Examples Polynomial Factorizations,
which covers polynomial factorizations, and explains what such a factorization is about,
how it works and what we can do with it. So you will get the idea of a polynomial factorization, that is, the concept, and get to see
how to work with it, because the book explains, through examples, many basic
factorizations with polynomials, along with how they work. And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromPolyFactor1SeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book is about rational and irrational numbers. So the book covers non-integers real,
that is, rational and irrational numbers, and helps understand what those are about and
how they mingle with arithmetic operations so that you can not only use them properly
but can develop your own idea to make use of them, too, solving problems, of course.

It doesn't just cover though, how to do arithmetic with rational or irrational umbers, that
is, it doesn't merely explain how to apply to those numbers additions, subtractions,
multiplications, and divisions. But it helps also understand the nature of non-integers.
So this book covers the concepts of those numbers, and helps you understand them, and
use them efficiently as well as properly. And it can help speed up your calculation, too.
And some sample pages are at:
http: //www.runmath.com/ExcerptFromArithmetic3SeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book is also, for your study of math using integers. And the book is designed for
those students who want to study word problems, where students need to manage
integers and set up expressions. And you will get to see some nature of integers and
some tools useful or handy using or working with integers. The tools are math ideas,
called theorems or formulas, which you can use doing problems with multiples or
divisors, etc. And some sample pages are at:
http: //www.runmath.com/ExcerptFromArithmetic2SeongKim.pdf

This book is for young students Gifted or Advanced in math.

Working with a function or equation, we often need to change or modify it. Changing a
function or equation, we can do it changing its curve. And changing it, we change its
location or its form. Why change though?

Doing problems with functions or equations, we often need to change them so that we
can get the ones we want, and can get them readily and fast enough. And changing
functions or equations, we say we do transformations to them, and say we do function
transformations or equation transformations. And doing it, we do it changing its curve,
that is, its graph. So we can call it a graph operation.

In GRAPH OPERATIONS, discussions will be focused on how to change functions or
equations changing their curves. So this book is about curves. And more specifically,
what's covered here is how to put a curve in a graph many different ways. So you will
get to see in this book, how to move, change or alter, or modify a curve, and how to get
the equation of the curve changed, that is, the new equation. And you will get to see also,
how to keep track of the variables used in the equation or function when it is getting
changed.
So we don't just do matrix applications to get a new curve or a new equation or function.
We approach transformations pragmatically rather than theoretically. So you will get to
see what actually changes and how changes are made or happen. Why though?

As mentioned above, doing problems with functions or equations, we often need to
change them so that we can get the solution readily and fast enough. And it is
particularly the case, when we do calculus. Doing it, we often need to manipulate curves
so that we can see how to approach solutions to problems with functions or equations.
We do need to do so not only finding derivatives or integrals but understanding rules or
theorems, too.

Putting curves many different ways, we can often see better how to get the solutions
more readily and faster. We can have many problems where having only to put curves in
graphs, we can see the solutions right away. And also, there are many problems we can
solve only if we know how to manipulate curves as well as how to construct the graphs.

What we actually do solving a problem is in fact, putting the problem many different
ways. That is, putting a problem many ways, we get to see the solution. And also, not
just reading the problem but actually looking at the problem, too, we can see better the
solution's whereabouts. And actually looking at it, we put it in a graph. And some
sample pages are at: http: //www.runmath.com/ExcerptFromGraphOpSeongKim.pdf

This book is about some important basics in elementary algebra, and covers equations most often used in high schools and early years in colleges or universities. And the equations are for curves called conic sections, often just called conics.

There are five kinds in conics. And two are covered briefly here in this book. One is a line and the other is a parabola. This book is in fact, the abridged version of the two books, Conics 1 and Conics 2.

So this book covers equations for lines, often called linear equations or equations of degree 1, and equations for parabolas, often called quadratic equations or equations of degree 2. And the book explains all the basics of and the use of those equations.

And some sample pages are at:
http: //www.runmath.com/ExcerptFromCncsASeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book is about trigonometry, of course, and is for any student who wants to study it
seriously. And in particular, it covers the area in depth and extent so that it can be good
for those students, too, who want to study calculus later or now in university level, and
want to be science or engineering majors. And some sample pages are at:
http: //www.runmath.com/ExcerptFromTrigSeongKim.pdf

And note that you can get the book in parts, too. There are three parts. One is Algebra
Examples Trigonometry 1, which is the first third of the whole book, which is this book.
Another is Algebra Examples Trigonometry 2, which is the second third of the book.
And the other is the last third, called Algebra Examples Trigonometry 3.

This book is for young students Gifted or Advanced in math.

Students need the best teacher, so you need examples, because examples are the best
teacher. All the examples in this book are fully worked, and help you do math better.
And this book is for your skill of geometry, and you will grow the skill 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 if you follow the steps
in each example. Each is detailed so that you can learn those tools fast, and increase
your caliber quickly as well as properly.

And this book covers geometry, and is particularly about angles, so it explains what an
angle is about, how it gets made and what we can do with it or how to use it. What then,
is it for?

An angle is an idea in math, so it's a math idea, and is a tool in math. So it's a math tool.
And we use it, solving problems, of course. So students need to get the idea.
Thus, this book helps you get the idea of an angle, that is, the concept of a math
object called an angle, and you will get to see how to work with it properly, because the
book explains how it gets made, and how it works, along with its nature so that you can
develop your own idea, to solve problems, of course.
And some sample pages are at:
http: //www.runmath.com/ExcerptFromPosAngSeongKim.pdf

This book is for young students Gifted or Advanced in math.

Students need the best teacher, so you need examples, because examples are the best
teacher. All the examples in this book are fully worked, and help you do math better.
And this book covers integers, and helps understand what integers are about and how
they mingle with arithmetic operations so that you can not only use integers properly but
can develop your own idea to make use of them, too, solving problems, of course.

It doesn't just cover though, how to do arithmetic with integers, that is, how to do
additions, subtractions, multiplications, and divisions. But it helps also understand the
nature of integers and the nature of arithmetic operations as additions or divisions.
And in particular, it covers the nature and the use of numbers called inverses.
What inverse?

It can be called the negative or the reciprocal depending on the arithmetic operation.
So this book covers those math ideas (concepts), and helps you understand them, and
use them efficiently as well as properly. It can help speed up your calculation, too.
And some sample pages are at:
http: //www.runmath.com/ExcerptFromArithmetic1SeongKim.pdf

This book is for young students Gifted or Advanced in math.

This book covers equations indicating hyperbolas, that is, equations for hyperbolas, and
explains what a hyperbola or the equation is about, how it gets made, what it does, how
it works and what we can do with it or how to use it.

So you will get the idea of hyperbola, that is, the concept, and get to see how to work
with it, because the book explains, through examples, many equations for hyperbolas,
how they get made, and how they work, along with their nature.

And this book is particularly for those students who want to study calculus later or now
in university level, and want to be science or engineering majors. And some sample
pages are at: http: //www.runmath.com/ExcerptFromCncs5SeongKim.pdf