Ever word to hear yet a complex and

Ever since before I entered junior high, given
that many have said I am blessed because of having skills in
Mathematics-related kind of stuff, I became totally curious once I had heard
numerous different math terms and topics I had never heard and encountered
before in my grade school years from different people like my siblings – since they
are older than I. These terms include trigonometry, circular functions, algebra,
matrix, vector, polynomial functions, conjugate, rationalize, integration and
many more.

            In
my junior high years, I admit that some of these terms and topics were
challenging for me, and had that difficulty that made me read all the lectures
that had discussed again and again until I became satisfied with my
understanding on that certain topic. 
That adventure, honestly, was so fun. With that in mind, I truly hoped
that my journey would have had the same fun as before. That’s when before I
entered senior high school.

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            Calculus,
such a simple word to hear yet a complex and a rational word indeed, they say.
My brothers had told me, even though this one is difficult, but if it is me, I
can just remove the dirt on my shoulders, figuratively. Knowing how hard that
topic is after hearing such reviews and feedbacks from different persons who
have undergone the “excruciating” years in studying calculus, I now bother
researching and finding helpful videos to make me have background knowledge on the
said subject.

One of the leading branches of
mathematics is calculus. It is a mathematical study
of continuous change, in the same sense in algebra’s and geometry’s; the study
of shapes, and the study of generalizations respectively. It has two major fields:
one is differential
calculus – it deals
with the rates of change and slopes of curves. It also studies the
behavior and rate on how different quantities change. And the second one is called integral calculus that deals with the accumulation of
quantities and also the areas between and under curves as well. Even though the
said fields are said to be polar to each other since integration is the
opposite of differentiation, they are still linked and are related to each
other by the fundamental
theorem of calculus. Both fields make
use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.

The
formal study of calculus had begun from the 17th century by well-known mathematicians
and scientists in the world, Isaac Newton and Gottfried Leibniz. The history
itself of the calculus didn’t begin with Newton’s and Leibniz’s findings but
their calculus
was the culmination of centuries of work by other mathematicians and
contributors; it is possible that it has been at use
as early as the Greek era since its elements have appeared in ancient Greece, then in China
and the Middle East, and still later again in medieval Europe and in India. Einstein’s and
Leibniz’s

Some of the ideas that had led to integral calculus were presented
and introduced in the ancient times. These ideas seemed to be that they were
not developed systematically and rigorously. Though some of the formulas lacked
major concepts and components and were simple to begin with, calculations of
volume and area were introduced and could be found in the Egyptian Moscow
papyrus. From the period
of Greek mathematics, the method of
exhaustion was used by Eudoxus, which foreshadows the concept of the
limit, to calculate areas and volumes, eventually made Archimedes  develop this idea
further, inventing heuristics which resemble the methods of integral
calculus. The method of
exhaustion was then
discovered in China by Liu Hui and Zu Gengzhi independently.