#1 TRUE CALCULUS; without the fictional limit concept Textbook for Middle-School on up (1st edition)

[Archimedes Plutonium]

#1 TRUE CALCULUS; without the fictional limit concept
Textbook for Middle-School on up (1st edition)



PREFACE

For those who do not know calculus at all, please skip this preface
until after you read the chapters.
Now the title of this textbook looks cumbersome, but I want that title
to convey enough information that the math education system needs to
have a massive overhaul, because the current education system is
viciously perpetuating a lie about Calculus in particular, and
mathematics overall.

This little textbook will be as short as possible, less than 100
pages, and as easy as possible so that Middle School children can
learn Calculus, all by themselves without parent or teacher
interruption or distraction or propaganda of Old Math.

Now this textbook stems from my earlier work of the massive tome-text
of Correcting Math 3rd edition 2011. I thought it wise to split-off
this tiny textbook that focuses just on teaching Calculus.

Now what is unique and different about this textbook on Calculus is
that it teaches you what Calculus really and truly is, and eliminates
the Limit concept altogether. Funny, in that we "eliminate the limit".
Why do we eliminate the limit concept? Because it never really existed
in mathematics and was a rug sweeping exercise because Old Math never
wanted to admit that infinity has a borderline between finite and
infinite. So a limit concept was introduced, which should never have
been introduced. Back in the 1600s of human history, many people faced
hardships and bad luck events and they they made up fiction of ghosts
and witches and blamed them for bad happenings or events, even though
witches and ghosts are make-believe. Same thing with Limit Concept of
mathematics, for the limit is just make-believe nonsense for those
that refuse to properly see and realize that there is a borderline
between finite and infinite.

And because of a lack of a borderline between finite and infinite in
Old Math, they were never able to properly teach what Calculus really
was. They failed to teach that angles are the main ingredient in
Calculus and it is because of angles that the derivative is the
inverse of integration. That no matter what the size of the Cartesian
Coordinate System grid is, whether small or large, the graph of a
function is always the same independent of size and thus the angles
are always the same in derivative or integral and that is why one is
the inverse of the other.

But if you believe in Old Math of never defining a borderline of
finite with infinity and thus bringing in a limit concept, you never
achieve the relationship that the derivative and integral are inverses
of one another.

Now this is the 1st edition of this little textbook and I write this
as the preface and want the reader to skip this preface and read it at
the end for those that do not know calculus. Or if you know some
calculus, then this preface may prepare you for the forthcoming text.

Enough said about why this tiny textbook. For one wanting to learn
true calculus, start here with Chapter 1.

Chapter 1

I will not teach functions and most readers will pick it up elsewhere
what functions are.

I will not teach what the Cartesian Coordinate System is, for here
again most will pick that up elsewhere.

What I will teach is what the Calculus of derivative and integral
really and truly are.

I will work with just three functions:

F(x) = 3
(also written conveniently as y= 3)

F(x) = x
(also written conveniently as y = x)

F(x) = x^2
(also written as y=x^2)

Within those three functions we can learn all there is about true
Calculus and what the derivative is and what the integral is, and why
the derivative is the inverse of integral.

We will learn also, that the Limit Concept of Old Math is phony. We
will learn that the limit concept is forced on people because
mathematicians are too lazy and inept to define the borderline between
what is finite and what is infinite.

When you have little sense of science, you are likely to invent ghosts
and witches to explain away bad events and circumstances. When you
have little sense of true Calculus, that angles are primary
ingredients and that having a borderline between finite and infinity
allows the derivative and integral to be related to one another, then
to remedy your lack of understanding of Calculus, you dream up a phony
concept of limit.

Exercise:

Draw the graph of y=3, and of y=x and of y=x^2.

Now for Middle School students that may be difficult, but they can
easily find these three functions in most other books or on the
Internet such as in Wikipedia.

It is difficult for me to draw them in this post to sci.math or
newsgroups but with ascii art, I can at least get the student started:

y = 3 function looks like this:

|
|-----------------
|
|
|_____________>

It is a straight line where no matter what the number value of x is,
the value of y is always 3.

Now the graph of y=x is similar to y=3 only the function line is at a
45 degree angle to the axis.

The function y=x looks like this:

| /
| /___


And finally our third function y=x^2 is not a straight line function
but a curve that rises faster than y=x.
It looks somewhat like this:

| /
| /
|/ ____

Alright, so we have here in the first chapter three functions. Now the
second chapter is going to derive the derivative and explain what the
derivative is.

--
More than 90 percent of AP's posts are missing in the Google
newsgroups author search starting May 2012. They call it indexing; I
call it censor discrimination. Whatever the case, what is needed now
is for science newsgroups like sci.physics, sci.chem, sci.bio,
sci.geo.geology, sci.med, sci.paleontology, sci.astro,
sci.physics.electromag to
be hosted by a University the same as what
Drexel
University hosts sci.math as the Math Forum. Science needs to
be in education
not in the hands of corporations chasing after the
next dollar bill.
Besides, Drexel's Math Forum can demand no fake
names, and only 5 posts per day of all posters which reduces or
eliminates most spam and hate-spew, search-engine-bombing, and front-
page-hogging. Drexel has
done a excellent, simple and fair author-
archiving of AP sci.math posts since May 2012
as seen
here:

http://mathforum.org/kb/profile.jspa?userID=499986

Archimedes Plutonium
http://www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies

[1treePetrifiedForestLane]

Liebniz actually began with the integral;
Apostol's textbook does the same.

>> I will work with just three functions: