Graph Operations, (Paperback)

<br> This book is for young students Gifted or Advanced in math. <p>All the same contents in this book are also printed in a larger book (letter size). It is<br> printed though, with the same font and the same font size, so it only has bigger space<br> around the text, together with a different cover, and is called Algebra Examples Graph<br> Operations. And the main reason is that some students prefer a smaller book, because<br> they can carry it around more easily, whereas some others prefer a larger one, because<br> they can add their notes more easily.</p> <p>Anyways, working with a function or equation, we often need to change or modify it.<br> Changing a function or equation, we can do it changing its curve. And changing it, we<br> change its location or its form. Why change though?</p> <p>Doing problems with functions or equations, we often need to change them so that we<br> can get the ones we want, and can get them readily and fast enough.<br> And changing functions or equations, we say we do transformations to them, and say we<br> do function transformations or equation transformations. And doing it, we do it changing<br> its curve, that is, its graph. So we can call it a graph operation.</p> <p>In GRAPH OPERATIONS, discussions will be focused on how to change functions or<br> equations changing their curves. So this book is about curves. And more specifically, <br> what's covered here is how to put a curve in a graph many different ways. So you will<br> get to see in this book, how to move, change or alter, or modify a curve, and how to get<br> the equation of the curve changed, that is, the new equation. And you will get to see also, <br> how to keep track of the variables used in the equation or function when it is getting<br> changed.</p> <p>So we don't just do matrix applications to get a new curve or a new equation or function.<br> We approach transformations pragmatically rather than theoretically. So you will get to<br> see what actually changes and how changes are made or happen. Why though?</p> <p>As mentioned above, doing problems with functions or equations, we often need to<br> change them so that we can get the solution readily and fast enough. And it is<br> particularly the case, when we do calculus. Doing it, we often need to manipulate curves<br> so that we can see how to approach solutions to problems with functions or equations.<br> We do need to do so not only finding derivatives or integrals but understanding rules or<br> theorems, too.</p> <p>Putting curves many different ways, we can often see better how to get the solutions<br> more readily and faster. We can have many problems where having only to put curves in<br> graphs, we can see the solutions right away. And also, there are many problems we can<br> solve only if we know how to manipulate curves as well as how to construct the graphs.</p> <p>What we actually do solving a problem is in fact, putting the problem many different<br> ways. That is, putting a problem many ways, we get to see the solution. And also, not<br> just reading the problem but actually looking at the problem, too, we can see better the<br> solution's whereabouts. And actually looking at it, we put it in a graph. And some<br> sample pages are at: http: //www.runmath.com/ExcerptFromGraphOpSeongKim.pdf&amp;am</p>

• Graph Operations, (Paperback)
• Author: Seong R Kim
• ISBN: 9781477579527
• Format: Paperback
• Publication Date: 2012-05-27
• Page Count: 424