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Calculus created in India 250 years before Newton: study

:lol:....a wall is not a fort ...... it us just that ...a freaking wall. It served no purpose other than to satisfy the whim of an crazy fudal lord.

A Road is the lifeline of any civilization. There is no comparison between the two.

We have seen enough demonstration of high IQ chinese. :lol:

Your stupidity has no limits. The engineering involves in building a 8000 KM fortification on mountainous terrain CANNOT be compared to a freaking road. Ancient China had more roads than your country today!!!! From HanZhou to Silk road, do you know long that is??? Our man made river, Grand Canal, was already 1800 KM build in 580 AD.

Small wonder, you country is so pathetic is infrastructure building today yet , because all you freaking know is road!!!
 
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Hindus have invented very little especially considering they have been around for thousands of years and yet their country looks terrible, they have little achievements to show for. Of course, a few Hindus have made big names for themselves but when you consider they have been around for thousands of years they should have more to show for their existence.

Arab Muslims learnt a lot many things from Indians.

Islamic Mathematics - The Story of Mathematics

ISLAMIC MATHEMATICS

The Islamic Empire established across Persia, the Middle East, Central Asia, North Africa, Iberia and parts of India from the 8th Century onwards made significant contributions towards mathematics. They were able to draw on and fuse together the mathematical developments of both Greece and India.

One consequence of the Islamic prohibition on depicting the human form was the extensive use of complex geometric patterns to decorate their buildings, raising mathematics to the form of an art. In fact, over time, Muslim artists discovered all the different forms of symmetry that can be depicted on a 2-dimensional surface.

The Qu’ran itself encouraged the accumulation of knowledge, and a Golden Age of Islamic science and mathematics flourished throughout the medieval period from the 9th to 15th Centuries. The House of Wisdom was set up in Baghdad around 810, and work started almost immediately on translating the major Greek and Indian mathematical and astronomy works into Arabic.

The outstanding Persian mathematician Muhammad Al-Khwarizmi was an early Director of the House of Wisdom in the 9th Century, and one of the greatest of early Muslim mathematicians. Perhaps Al-Khwarizmi’s most important contribution to mathematics was his strong advocacy of the Hindu numerical system (1 - 9 and 0), which he recognized as having the power and efficiency needed to revolutionize Islamic (and, later, Western) mathematics, and which was soon adopted by the entire Islamic world, and later by Europe as well.

Al-Khwarizmi's other important contribution was algebra, and he introduced the fundamental algebraic methods of “reduction” and “balancing” and provided an exhaustive account of solving polynomial equations up to the second degree. In this way, he helped create the powerful abstract mathematical language still used across the world today, and allowed a much more general way of analyzing problems other than just the specific problems previously considered by the Indians and Chinese.

Binomial Theorem



The 10th Century Persian mathematician Muhammad Al-Karaji worked to extend algebra still further, freeing it from its geometrical heritage, and introduced the theory of algebraic calculus. Al-Karaji was the first to use the method of proof by mathematical induction to prove his results, by proving that the first statement in an infinite sequence of statements is true, and then proving that, if any one statement in the sequence is true, then so is the next one.

Among other things, Al-Karaji used mathematical induction to prove the binomial theorem. A binomial is a simple type of algebraic expression which has just two terms which are operated on only by addition, subtraction, multiplication and positive whole-number exponents, such as (x + y)2. The co-efficients needed when a binomial is expanded form a symmetrical triangle, usually referred to as Pascal’s Triangle after the 17th Century French mathematician Blaise Pascal, although many other mathematicians had studied it centuries before him in India, Persia, China and Italy, including Al-Karaji.

Some hundred years after Al-Karaji, Omar Khayyam (perhaps better known as a poet and the writer of the “Rubaiyat”, but an important mathematician and astronomer in his own right) generalized Indian methods for extracting square and cube roots to include fourth, fifth and higher roots in the early 12th Century. He carried out a systematic analysis of cubic problems, revealing there were actually several different sorts of cubic equations. Although he did in fact succeed in solving cubic equations, and although he is usually credited with identifying the foundations of algebraic geometry, he was held back from further advances by his inability to separate the algebra from the geometry, and a purely algebraic method for the solution of cubic equations had to wait another 500 years and the Italian mathematicians del Ferro and Tartaglia.

Al-Tusi was a pioneer in the field of spherical trigonometry



The 13th Century Persian astronomer, scientist and mathematician Nasir Al-Din Al-Tusi was perhaps the first to treat trigonometry as a separate mathematical discipline, distinct from astronomy. Building on earlier work by Greek mathematicians such as Menelaus of Alexandria and Indian work on the sine function, he gave the first extensive exposition of spherical trigonometry, including listing the six distinct cases of a right triangle in spherical trigonometry. One of his major mathematical contributions was the formulation of the famous law of sines for plane triangles, a⁄(sin A) = b⁄(sin B) = c⁄(sin C), although the sine law for spherical triangles had been discovered earlier by the 10th Century Persians Abul Wafa Buzjani and Abu Nasr Mansur.

Other medieval Muslim mathematicians worthy of note include:
the 9th Century Arab Thabit ibn Qurra, who developed a general formula by which amicable numbers could be derived, re-discovered much later by both Fermat and Descartes(amicable numbers are pairs of numbers for which the sum of the divisors of one number equals the other number, e.g. the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71, and 142, of which the sum is 220);
the 10th Century Arab mathematician Abul Hasan al-Uqlidisi, who wrote the earliest surviving text showing the positional use of Arabic numerals, and particularly the use of decimals instead of fractions (e.g. 7.375 insead of 73⁄8);
the 10th Century Arab geometer Ibrahim ibn Sinan, who continued Archimedes' investigations of areas and volumes, as well as on tangents of a circle;
the 11th Century Persian Ibn al-Haytham (also known as Alhazen), who, in addition to his groundbreaking work on optics and physics, established the beginnings of the link between algebra and geometry, and devised what is now known as "Alhazen's problem" (he was the first mathematician to derive the formula for the sum of the fourth powers, using a method that is readily generalizable); and
the 13th Century Persian Kamal al-Din al-Farisi, who applied the theory of conic sections to solve optical problems, as well as pursuing work in number theory such as on amicable numbers, factorization and combinatorial methods;
the 13th Century Moroccan Ibn al-Banna al-Marrakushi, whose works included topics such as computing square roots and the theory of continued fractions, as well as the discovery of the first new pair of amicable numbers since ancient times (17,296 and 18,416, later re-discovered by Fermat) and the the first use of algebraic notation since Brahmagupta.


With the stifling influence of the Turkish Ottoman Empire from the 14th or 15th Century onwards, Islamic mathematics stagnated, and further developments moved to Europe.
 
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Arab Muslims learnt a lot many things from Indians.

Islamic Mathematics - The Story of Mathematics

ISLAMIC MATHEMATICS

The Islamic Empire established across Persia, the Middle East, Central Asia, North Africa, Iberia and parts of India from the 8th Century onwards made significant contributions towards mathematics. They were able to draw on and fuse together the mathematical developments of both Greece and India.

One consequence of the Islamic prohibition on depicting the human form was the extensive use of complex geometric patterns to decorate their buildings, raising mathematics to the form of an art. In fact, over time, Muslim artists discovered all the different forms of symmetry that can be depicted on a 2-dimensional surface.

The Qu’ran itself encouraged the accumulation of knowledge, and a Golden Age of Islamic science and mathematics flourished throughout the medieval period from the 9th to 15th Centuries. The House of Wisdom was set up in Baghdad around 810, and work started almost immediately on translating the major Greek and Indian mathematical and astronomy works into Arabic.

The outstanding Persian mathematician Muhammad Al-Khwarizmi was an early Director of the House of Wisdom in the 9th Century, and one of the greatest of early Muslim mathematicians. Perhaps Al-Khwarizmi’s most important contribution to mathematics was his strong advocacy of the Hindu numerical system (1 - 9 and 0), which he recognized as having the power and efficiency needed to revolutionize Islamic (and, later, Western) mathematics, and which was soon adopted by the entire Islamic world, and later by Europe as well.

Al-Khwarizmi's other important contribution was algebra, and he introduced the fundamental algebraic methods of “reduction” and “balancing” and provided an exhaustive account of solving polynomial equations up to the second degree. In this way, he helped create the powerful abstract mathematical language still used across the world today, and allowed a much more general way of analyzing problems other than just the specific problems previously considered by the Indians and Chinese.

Binomial Theorem



The 10th Century Persian mathematician Muhammad Al-Karaji worked to extend algebra still further, freeing it from its geometrical heritage, and introduced the theory of algebraic calculus. Al-Karaji was the first to use the method of proof by mathematical induction to prove his results, by proving that the first statement in an infinite sequence of statements is true, and then proving that, if any one statement in the sequence is true, then so is the next one.

Among other things, Al-Karaji used mathematical induction to prove the binomial theorem. A binomial is a simple type of algebraic expression which has just two terms which are operated on only by addition, subtraction, multiplication and positive whole-number exponents, such as (x + y)2. The co-efficients needed when a binomial is expanded form a symmetrical triangle, usually referred to as Pascal’s Triangle after the 17th Century French mathematician Blaise Pascal, although many other mathematicians had studied it centuries before him in India, Persia, China and Italy, including Al-Karaji.

Some hundred years after Al-Karaji, Omar Khayyam (perhaps better known as a poet and the writer of the “Rubaiyat”, but an important mathematician and astronomer in his own right) generalized Indian methods for extracting square and cube roots to include fourth, fifth and higher roots in the early 12th Century. He carried out a systematic analysis of cubic problems, revealing there were actually several different sorts of cubic equations. Although he did in fact succeed in solving cubic equations, and although he is usually credited with identifying the foundations of algebraic geometry, he was held back from further advances by his inability to separate the algebra from the geometry, and a purely algebraic method for the solution of cubic equations had to wait another 500 years and the Italian mathematicians del Ferro and Tartaglia.

Al-Tusi was a pioneer in the field of spherical trigonometry



The 13th Century Persian astronomer, scientist and mathematician Nasir Al-Din Al-Tusi was perhaps the first to treat trigonometry as a separate mathematical discipline, distinct from astronomy. Building on earlier work by Greek mathematicians such as Menelaus of Alexandria and Indian work on the sine function, he gave the first extensive exposition of spherical trigonometry, including listing the six distinct cases of a right triangle in spherical trigonometry. One of his major mathematical contributions was the formulation of the famous law of sines for plane triangles, a⁄(sin A) = b⁄(sin B) = c⁄(sin C), although the sine law for spherical triangles had been discovered earlier by the 10th Century Persians Abul Wafa Buzjani and Abu Nasr Mansur.

Other medieval Muslim mathematicians worthy of note include:
the 9th Century Arab Thabit ibn Qurra, who developed a general formula by which amicable numbers could be derived, re-discovered much later by both Fermat and Descartes(amicable numbers are pairs of numbers for which the sum of the divisors of one number equals the other number, e.g. the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71, and 142, of which the sum is 220);
the 10th Century Arab mathematician Abul Hasan al-Uqlidisi, who wrote the earliest surviving text showing the positional use of Arabic numerals, and particularly the use of decimals instead of fractions (e.g. 7.375 insead of 73⁄8);
the 10th Century Arab geometer Ibrahim ibn Sinan, who continued Archimedes' investigations of areas and volumes, as well as on tangents of a circle;
the 11th Century Persian Ibn al-Haytham (also known as Alhazen), who, in addition to his groundbreaking work on optics and physics, established the beginnings of the link between algebra and geometry, and devised what is now known as "Alhazen's problem" (he was the first mathematician to derive the formula for the sum of the fourth powers, using a method that is readily generalizable); and
the 13th Century Persian Kamal al-Din al-Farisi, who applied the theory of conic sections to solve optical problems, as well as pursuing work in number theory such as on amicable numbers, factorization and combinatorial methods;
the 13th Century Moroccan Ibn al-Banna al-Marrakushi, whose works included topics such as computing square roots and the theory of continued fractions, as well as the discovery of the first new pair of amicable numbers since ancient times (17,296 and 18,416, later re-discovered by Fermat) and the the first use of algebraic notation since Brahmagupta.


With the stifling influence of the Turkish Ottoman Empire from the 14th or 15th Century onwards, Islamic mathematics stagnated, and further developments moved to Europe.



Glad you use sources that you find suitable, Hindus still haven't invented much taking into account thousands of years of existence, a few spurts of contribution don't make the point invalid when we look at the overall picture the Hindu civilization has been an abysmal failure.
 
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Glad you use sources that you find suitable, Hindus still haven't invented much taking into account thousands of years of existence, a few spurts of contribution don't make the point invalid when we look at the overall picture the Hindu civilization has been an abysmal failure.

Your opinion doesn't matter, fact remains Arab Muslims learnt a lots of things from Indian from learning the use of spices in food from South Indians to Arabic translation and learning mathematics, medicine, astronomy etc. of Indian knowledge during Caliphate.

I know what crap your textbook taught you about Indian civilization. :lol::lol::lol:
 
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Your stupidity has no limits. The engineering involves in building a 8000 KM fortification on mountainous terrain CANNOT be compared to a freaking road. Ancient China had more roads than your country today!!!! From HanZhou to Silk road, do you know long that is??? Our man made river, Grand Canal, was already 1800 KM build in 580 AD.

Small wonder, you country is so pathetic is infrastructure building today yet , because all you freaking know is road!!!

It is your stupidity that is on display here and the stupidity of your rulers. No one in the world is stupid enough to build walls on Mountains :lol:....Mountains are natural barriers. LOL.

There is no equivalent of the Grand Trunk road in china, but your Grand canal was an engineering feat that was of some use to the population. If you were smarter you would have mentioned that first instead of that wall :lol:

You are a race that eats pigs !! cats , dogs and lizards :cheesy:......primitive is the word that comes to mind.

Now that we have exchanged insults ..... would you like to get back to topic? :azn:
 
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Your opinion doesn't matter, fact remains Arab Muslims learnt a lots of things from Indian from learning the use of spices in food from South Indians to mathematics, medicine, astronomy etc. during Caliphate.

I know what crap your textbook taught you about Indian civilization. :lol::lol::lol:

Let us see ......Indians invented great literature, fantastic poetry, Fabulous religion, Deep Philosophies, Martial Arts that was taken to china, Books on Architectures, Astronomy, Astrology, Understanding of the Universe, Huge works on Medicine, Metallurgy, Farming, Yoga and kirya, Works of Engineering, Trading, Oldest Diamond and Gold mines in the world, Great works on Mathematics, science, chemistry, hunting, Unique weapons, Body Armour, Great work of art, sculptures, jewelry...what did I miss ? :angel:

Ya....not much I guess. :P
 
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It is your stupidity that is on display here and the stupidity of your rulers. No one in the world is stupid enough to build walls on Mountains :lol:....Mountains are natural barriers. LOL.

There is no equivalent of the Grand Trunk road in china, but your Grand canal was an engineering feat that was of some use to the population. If you were smarter you would have mentioned that first instead of that wall :lol:

You are a race that eats pigs !! cats , dogs and lizards :cheesy:......primitive is the word that comes to mind.

Now that we have exchanged insults ..... would you like to get back to topic? :azn:

LOL, the dumb and backwards can eat the sour grapes, but Great wall now is one of the 8 wonders of the world :coffee:

China has too many engineering marvels, it doesn't matter which one I mentioned first. They are well known and recognized the world over. All you can boast is a road? :omghaha:
Seriously, low IQ is not an excuse.
I don't spew insult like you just did. I talk fact, that is you guys are obsessed with Chinese food in your country,:rofl: :rofl:
 
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Let us see ......Indians invented great literature, fantastic poetry, Fabulous religion, Deep Philosophies, Martial Arts that was taken to china, Books on Architectures, Astronomy, Astrology, Understanding of the Universe, Huge works on Medicine, Metallurgy, Farming, Yoga and kirya, Works of Engineering, Trading, Oldest Diamond and Gold mines in the world, Great works on Mathematics, science, chemistry, hunting, Unique weapons, Body Armour, Great work of art, sculptures, jewelry...what did I miss ? :angel:

Ya....not much I guess. :P

Chinese has been doing marital arts before Bodhidharma was born, LOL. Stop your delusion and wet dreaming, most of the ancient ideas and inventions came from Greek and Chinese. All that your civilization can boast about is religion and some maths, that's about it. You were nowhere near the advanced form of Chinese or Greek civilization.
 
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LOL, the dumb and backwards can eat the sour grapes, but Great wall now is one of the 8 wonders of the world :coffee:

China has too many engineering marvels, it doesn't matter which one I mentioned first. They are well known and recognized the world over. All you can boast is a road? :omghaha:
Seriously, low IQ is not an excuse.
I don't spew insult like you just did. I talk fact, that is you guys are obsessed with Chinese food in your country,:rofl: :rofl:

Sour grapes for building a freaking wall ? :cheesy:...... no thanks.

India too has many engineering marvels ......it does not matter if I don't tell you either. They too are well known and recognized the world over :lol:.....all you can talk about is a wall !

Here is just one of them...

7-manmade-wonders-chand-baori.jpg


Claiming high IQ is no excuse for displaying stupdity.

Ya ....we do like Indianised chinese food in India.My personal favorite is chicken fried rice and chilly chicken. Made it the Indian way. :angel:

But not authentic chinese food.....they smell like vomit, and that is not an insult. :sick:
 
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Your opinion doesn't matter, fact remains Arab Muslims learnt a lots of things from Indian from learning the use of spices in food from South Indians to Arabic translation and learning mathematics, medicine, astronomy etc. of Indian knowledge during Caliphate.

I know what crap your textbook taught you about Indian civilization. :lol::lol::lol:

i don't know why they aren't proud of there hindu ancestry and why they always try to cheerlead for there arab masters?
i mean cheering for arabs will not make them arabs :lol:
 
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Chinese has been doing marital arts before Bodhidharma was born, LOL. Stop your delusion and wet dreaming, most of the ancient ideas and inventions came from Greek and Chinese. All that your civilization can boast about is religion and some maths, that's about it. You were nowhere near the advanced form of Chinese or Greek civilization.

LOL...sure. Your desperate fantasies are funny :lol:............ guess it is no use educating a fool. Then again ..... you are a 50 cent solider come here to troll. :wave:
 
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Sour grapes for building a freaking wall ? :cheesy:...... no thanks.

India too has many engineering marvels ......it does not matter if I don't tell you either. They too are well known and recognized the world over :lol:.....all you can talk about is a wall !

Here is just one of them...

Claiming high IQ is no excuse for displaying stupdity.

Ya ....we do like Indianised chinese food in India.My personal favorite is chicken fried rice and chilly chicken. Made it the Indian way. :angel:

But not authentic chinese food.....they smell like vomit, and that is not an insult. :sick:

LOL, even Africans knew how to make carving on the wall, if that's what you called engineering feat, then Africa was ancient MIT.

What a moron, indianized CHinese food is still Chinese, :omghaha:
 
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Glad you use sources that you find suitable, Hindus still haven't invented much taking into account thousands of years of existence, a few spurts of contribution don't make the point invalid when we look at the overall picture the Hindu civilization has been an abysmal failure.

Show your facts why it is failure?

Other wise this comes under mindless trolling.
 
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LOL, even Africans knew how to make carving on the wall, if that's what you called engineering feat, then Africa was ancient MIT.

What a moron, indianized CHinese food is still Chinese, :omghaha:

.........that was not a carving :rofl:....it is as much a carving as your 'great' wall made of carved stones.

Calling something chinese does not make it chinese loser. Tomorrow if I decide to call my morning cr@p chinese .....will you claim credit for it ? :cheesy: .................once a fool, always a fool.
 
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