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Q: Was Euclid the leading mathematician of Gupta empire?
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Who were the first people to use the zero and the decimal system?

The first people to use the decimal system and the number zero WERE NOT THE CHINESE! I am learning about this in school. The ancient Hindu's invented them during the Gupta Empire.


What did gupta mathematicians invent?

0 and infinity.


What is the life history of aryabhatta?

Aryabhatta (476-550 A.D.) was born in Patliputra in Magadha, modern Patna in Bihar. Many are of the view that he was born in the south of India especially Kerala and lived in Magadha at the time of the Gupta rulers; time which is known as the golden age of India. There is no evidence that he was born outside Patliputra and traveled to Magadha, the centre of education and learning for his studies where he even set up a coaching centre. His first name "Arya" is hardly a south Indian name while "Bhatt" (or Bhatta) is a typical north Indian name even found today specially among the "Bania" (or trader) community. Whatever this origin, it cannot be argued that he lived in Patliputra where he wrote his famous treatise the "Aryabhatta-siddhanta" but more famously the "Aryabhatiya", the only work to have survived. It contains mathematical and astronomical theories that have been revealed to be quite accurate in modern mathematics. For instance he wrote that if 4 is added to 100 and then multiplied by 8 then added to 62,000 then divided by 20,000 the answer will be equal to the circumference of a circle of diameter twenty thousand. This calculates to 3.1416 close to the actual value Pi (3.14159). But his greatest contribution has to be zero. His other works include algebra, arithmetic, trigonometry, quadratic equations and the sine table. He already knew that the earth spins on its axis, the earth moves round the sun and the moon rotates round the earth. He talks about the position of the planets in relation to its movement around the sun. He refers to the light of the planets and the moon as reflection from the sun. He goes as far as to explain the eclipse of the moon and the sun, day and night, the contours of the earth, the length of the year exactly as 365 days. He even computed the circumference of the earth as 24835 miles which is close to modern day calculation of 24900 miles. This remarkable man was a genius and continues to baffle many mathematicians of today. His works was then later adopted by the Greeks and then the Arabs.


What is the Historical details and requirement of 0?

Historical scientists categorize the types of number systems peoples use, much the same way philologists break down languages into "analytic," "agglutinative," "inflectional," etc.The path that leads to the discovery of "0" lies only in the most advanced type of number system, which is called "positional" because the value of a character depends on its position. Our modern way of counting is positional. The base figure "5" has a different value in 514 and in 145, determined by its position.The Romans, Greeks, Hebrews (and Aztecs and pre-Islamic Arabs and a great many others) used an "additive" system, which is fundamentally a transcription of counting. A Roman "V" meant "five" and that's all it could mean.An additive system can develop into a positional one -- the abacus has a tendency to suggest the positional model -- but as far as we know, the positional concept has emerged in only four places: c.2000 B.C.E., in Babylon; around the start of the Common Era, in China; between the 4th and 9th centuries C.E. among the Mayan astronomer-priests; and in India.Positional systems have certain features in common. One is that each base number is denoted by a discrete symbol, purely conventional and not a graphic representation of the number itself (i.e., not "four slashes" for "four," as the Greeks and Romans had). Imagine the scribal confusion if the Romans had tried to use positional mathematics with their numbering system: "423" would be IIII II III, while "342" would be III IIII II.Another feature of positional number systems is that they lack special symbols for numbers which are orders of magnitude of the base number. Romans had a symbol for "10," and a separate symbol for "100" (10 x 10) and another for "1,000" (10 x 100) and so on. This is necessary in an additive system, for simplicity of notation and record-keeping, but it is incompatible with a positional system.But think about the positional system. You come across a big stumbling block when you try to write a number like 2,002. For a Roman, that's no problem: MMII. But in a positional system, you have to find a way to indicate the absence of "tens" and "hundreds." You could leave a gap (the Babylonians did this at first), but that opens the door to more scribal errors, and anyway how do you indicate two gaps, as in 2,002?It becomes necessary to have a "zero," a character that signifies "empty." Maybe not necessary, because the brilliant Chinese mathematicians somehow managed to run a positional system without making this discovery. The Babylonians (eventually), the Indians, and the Mayans did discover it, however.But the next step, the true miracle moment, is to realize that that "symbol for nothing" that you're using is not just a place-holder, but an actual number: that "empty" and "nothing" are one. The null number is as real as "5" and "2,002" -- that's when the door blows open and the light blazes forth and numbers come alive. Without that, there's no modern mathematics, no algebra, no modern science.And as far as we know, that has only happened once in human history, somewhere in India, in the intellectual flowering under the Gupta Dynasty, about the 6th century C.E. There was no "miracle moment," of course. It was a long, slow process.The daunting realization, for heirs of "Western Civilization," is that the Greek and Roman cultures we revere were benighted mathematically, plodding along in the most primitive of number systems. But as champions of these cultures point out, we can admire their accomplishments all the more for that.Some authorities, however, put up strong resistance to the theory of the Indian origin of modern mathematics. At first, they were mired in the same religion-based worldview that denied the Indo-European linguistic link: the number system simply had to be Hebrew in origin, because nothing else would comport with the Bible (so they thought). Later, however, resistance took refuge in unwillingness to concede cultural superiority to non-Western civilizations.It does seem to be a glaring omission in the "Greek miracle." Historical scientists in the early part of the 20th century (such as G.R. Kaye, N. Bubnov, B. Carra de Vaux, etc.) argued strongly against an Indian origin, insisting the numbers evolved in ancient Greece, perhaps among neo-Pythagoreans, were taken to Alexandria, and from there spread to Rome and Spain in the west (from whence medieval Europe rediscovered them), and, via trade routes, to India in the east.Among the many problems with this idea is the utter lack of documentary evidence for anything like a positional number system in Greece or Rome, and its requirement that we believe ancient people had made this wonderful practical discovery, yet did not put it to any use.Speculation about a Greek origin of the ten "Arabic numerals" goes back to the 16th century in Europe. But before that, there are many sources in Europe and the pre-Islamic Levant that frankly attribute them to India. The earliest depiction of them in English, "The Crafte of Nombrynge" (c.1350), correctly identifies them as "teen figurys of Inde."The Arabic sources, from the earliest times, refer to them as arqam al hind -- "figures from India" -- or some such name. The Muslims of that day, generally contemptuous of non-Islamic culture, had no problem conceding the invention of this number system to India.


Related questions

Was Euclid the leading mathematician of the Gupta empre?

No. The Gupta Empire was in India, and Euclid's school was in Alexandria in ancient Egypt.


Who was the leading mathematician of the gupta empire?

Aryabhata was the leading mathematician.


What is the Gupta Empire's real name?

The Gupta Empire's real name is Gupta!


How did the Gupta Empire end?

The Gupta Empire ended when Chandra Gupta II died and waves of invaders moved into India and broken the Gupta Empire into several smaller kingdoms.


What a difference between the Mauryan Empire and the Gupta Empire?

The Mauryan Empire was larger than the Gupta Empire.


What is a difference between the Mauryan Empire and the Gupta Empire?

The Mauryan Empire was larger than the Gupta Empire.


When does the Gupta Empire begin?

the Gupta empire began 320 A.D.


How did Gupta empire ended?

The Gupta Empire ended when Chandra Gupta II died and waves of invaders moved into India and broken the Gupta Empire into several smaller kingdoms.


Who found Gupta empire?

The Gupta Empire was founded by Maharaja Sri-Gupta, the dynasty was the model of a classical civilization.


The Empire reached its greatest height as the Roman Empire was collapsing.?

gupta


What is the conclusion for gupta empire?

conclusion about Gupta


What is Guptas?

The Gupta is an ancient empire. The Indian empire existed from 320 to 550 CE. Maharaja Sri Gupta was the founder of the empire. The Gupta empire was known as a Vaish dynasty.