Discovery of mathematics did not prevail only on the west. As
the west became developed, east is part of their progress.
The great wall China is amazing coup of engineering. Chinese
then realized that they need to calculate distances, angles of elevation and
amounts of material. Through this, it helped to build the Imperial China. The
discovery of the “Magic Square” or the early version of soduku was discovered
on China; where all the numbers on each line vertically, horizontally and diagonally
equal to 15- a pattern of numbers.
Through a geometric progression, an emperor should sleep with
every 121 women in 15 days. Mathematics has its own “fun” purpose but plays a vital
role for the progression- to acquire the best possible imperial succession of
Imperial China. The emperor’s decision or plans are dependent on the calendar
and even movements of astronomical objects influenced his selection; this is
where astronomers are always considered as mathematician.
Qin Jiushao was described as a fantastically corrupt emperor;
fierce as a tiger and poisonous as a viper. But his military life according to
him, took away his true passion- the Mathematics. Qin Jushao did searching for the
solution of cubic equations through knowing the exact dimension of Chairman
Mao’s Mausoleum but unfortunately he only get an approximation not the exact
solution.
But there was a missing number that a country lying to the
southwest China would introduce this to the world- the India. Since 9th
century India had a representation of nothingness- the number “0”. For the
Greeks, zero did not exist. For the Egypt, Mesopotamia and China number zero is
a placeholder. But India transformed zero to make sense and represent nothing,
yet “0” revolutionized mathematics. Nowadays, we used ten digits of numbers
namely 1, 2, 3, 4, 5, 6, 7, 8, 9 including zero and these are used for
calculating efficiently large numbers. Then, there was this man named
Brahmagupta who coined his rule in calculating zero which is taught in school
all over the world; 1+0 equals 1; 1-0 equals 1 and 1x0 equals 0 and for
Bhaskara II 1/0 is infinity. Also, the
Indians recognized the new sort of nothing- the progression of negative numbers
or the Indians called it a “debt”.
Trigonometry is like a dictionary, translating geometry to
numbers. The sine function was then created and used for measuring the angles
and the sides a right triangle. The use of this function helped them to
navigate the seas, survey the land, and explore solar system without even going
outside the surface of the earth. But the Greeks and Indians did not know how
to use sine function to calculate all type of degrees they might encounter. In
15th century, in Kerala, South India, a man named Madhava who was
passionate about infinite numbers was able to calculate the exact value of pi (π) by adding the sums of fractions. He went
on his the same style of calculation and came up with a sine formula in
trigonometry and the wonderful thing is that this formula nowadays is used to
calculate the sine of all any angle of any degree.
In Middle East, where the Muslim scholars were collecting
ancient text, translating it and preserving it for future purposes. Then they
realized that they should not be only contented on translating mathematics from
different civilization, they must be having their own mathematics. Al-Khwarizmi
who created the Hindu-Arabic numerals to speed up calculation and do things
efficiently which Al-Khwarizmi proposed these numerals to the west and was
later adopted by the people by common sense. These numbers are 1-9 and 0. Also,
Algebra which is grammar of the numbers that underlies the way it works came
into a new step. This is the time in Middle East when algebra was now able to
analyse problem and give a solution that will work whatever the number.
Led by Italy, Europe was already trading to the east. So,
through trading of the materials there was also a trade of knowledge from the
east to the west and there was a development of Western mathematics. The
Hindu-Arabic numerals were adopted by the people of Europe despite of the
opposition of the authorities. Fibonacci series or a series of numbers in which
each number is the sum of the two preceding numbers. These kind of series are the nature’s
best-loved; a number of petals in a flower, segments of pineapple and even the
snail’s shell or wherever there is a growth of nature there is always Fibonacci
series. Finally, 16th century came and Italy found the general
method of solving all kinds of cubic equation. Before, it was then concluded
that solving and finding general solution for cubic equation was impossible.
But a man proved everyone is wrong his name is Tartaglia. He is scholar that
believed that he found the solution of a type of cubic equation. But there was
also named Fior who boasted that he too found the solution but then he lost in
an intellectual competition and Tartaglia won. Furthermore, Tartaglia was still
finding a solution for all types of cubic equation but a desperate man called
Cardano who kept the secret of Tartaglia’s work revealed the secret to his
brilliant student named Ferrari then make use of Tartaglia’s work to make a
solution for quartic equation. After that, they published their work and
Tartaglia’s work but the name was Cardano’s Formula in which this formula is
used today to solve cubic equations. At that moment, Europeans now had in their
hands the language of algebra, the powerful Hindu-Arabic numerals and the
beginning of mastering infinity.
Before the west discovered their mathematics in their own,
some of the greatest discovery and development of mathematics was first
happened in the east a century before including the exact value of pi. And without
these discoveries like the zero and Hindu-Arabic numerals from the east I think
that it will be very hard for the students to solve equations; for the
mathematicians to discover new mathematical things and for an engineering
student to calculate angles.
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ReplyDeleteI like how this post included the various facts on each place and that it mentioned the Eastern mathematicians that were usually neglected on literature. I totally agree with your post; the discoveries of the East did give a sort of leverage to the mathematics of the West and also to how we approach mathematical problems at the present. A very well written review :)
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another is that ur font is too small, its kinda hard to read..