History of math

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INTRODUCTION

The western world, only now is able to recognize the mathematical development in the old colonies. Several mathematical discoveries previously attributed to European mathematician are now recognized to be discoveries made thousand and hundred of years before in countries like China and India.

INDEX

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The Chinese number system

The old China did not have a zero. But they ordered numbers in units, tens, hundreds adding symbols for tens, hundreds etc.

They used bamboo sticks instead of numbers.

They invented a primitive form of Soduko with magic squares.

They could solve long before Gauss with the rest theoreme. CHing Ju Xiao solved second and third grade equations. Isaac Newton solved this much later.Ching did only get approximative solutions.

The Chinese may have shared their math to India with traveling sellers.

The Indian number system

The indians had the number zero (0) (Shunia). The oldest use of zero is found in a temple.
With the zero the Indians could create huge numbers 30000000000 and very small ones. 0,000000003

Brahmagupta defined

negative numbers an equations like

1+0=1

1-0=1

1*0=0
But he could not solve 1/0

This was solved later 1/0=

The indian astromoners used trigonometry to calculate the the distance of the sun IF 400 time the the distance to the moon.

In Kerala Madhava solved the solution on finding the sin for every angle.

“Madhava series or Leibniz series is any one of the series in a collection of infinite series expressions all of which are believed to have been discovered by Madhava of Sangamagrama (c. 1350 – c. 1425), the founder of the Kerala school of astronomy and mathematics

He made the Discovery of power series expansions of trigonometric sine, cosine and arctangent functions; infinite series summation formulae for π (Source: en.wikipedia.org )

The value of pi.

Leibnitz derived this equation in Germany 200 years later.

“Some scholars have also suggested that Madhava’s work, through the writings of the Kerala school, may have been transmitted to Europe, via Jesuit missionaries and traders who were active around the ancient port of Muziris at the time. As a result, it may have had an influence on later European developments in analysis and calculus.” (Source: en.wikipedia.org )

1/2 +1/4+1/8+…. = 1

lim n= ∞for n=2 to ∞ ∑1/2 +1/n

Al-Khwarizmi

He deveoloped the algebra with the indian numbers now called the indo-arabic numbers.

• 5*5=25=6*4+1>7*3+1>8*2+1
• 6*6=36=7*5+1
• 7*7=49=8*6+1
• 9*9=81=10*8+1

Fibonacci

He was in Africa where he met Arabic sellers.From them he learned the Hinduarabic numbers.
They were prohibited in Florence as these could be used to fraud

He is known to have developed the so callesFibonacci series.

1 1 2 3 5 8 13 21 34…..

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Tartaglia

In Bologna Tartaglia solved third grade equations.

He developed the formula to solve  third grade equations.

Cardano

Cardano found the formula to solve  fourth grade equations.

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Notebook of a pluralist

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