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Pythagorean triplets were discovered by Baudhayana in 800BCE, and general proof of Pythagorean theorem was given by Āpastamba in 600BCE.
Baudhayana - Wikipedia, the free encyclopedia
That theorem is known as Pythagoras theorem, not Āpastamba theorem because western school of mathematics derives it's roots from Greek school.
Similarly regarding Algebra (few examples):
Pingala - Wikipedia, the free encyclopedia (400BCE)
Brahmagupta - Wikipedia, the free encyclopedia (600CE)
Aryabhata - Wikipedia, the free encyclopedia (476CE)
Here is full list. Nearly every mathematician on this list have a book on algebra in his credentials.
List of Indian mathematicians - Wikipedia, the free encyclopedia
Frankly, In field of mathematics, there is barely any country that could stand against Hindu India. I am using the term Hindu here since there is not even a single mathematician from Muslims in India. Indian mathematicians are either from Ancient time period ( before 1000CE in India) or are from Kerala school which was not overrun by muslims.
By the time muslims came to India, Science and mathematics has been declared a heresy by AL-Ghizali and muslims passionately hated pursuance of knowledge outside Koran. This is the reason for zero Islamic contribution to Science and Mathematics in India.
If by publishing, you mean writing a book on it then all of these have been publicized and authenticated. The only reason that we know these theorems by their western name is because of colonialism.
There was no concept of Science Journals in 800BCE.
Pythagorean triplets were discovered by Baudhayana in 800BCE, and general proof of Pythagorean theorem was given by Āpastamba in 600BCE.
Baudhayana - Wikipedia, the free encyclopedia
That theorem is known as Pythagoras theorem, not Āpastamba theorem because western school of mathematics derives it's roots from Greek school.
Similarly regarding Algebra (few examples):
Pingala - Wikipedia, the free encyclopedia (400BCE)
The Chandaḥśāstra presents the first known description of a binary numeral system in connection with the systematic enumeration of meters with fixed patterns of short and long syllables.The discussion of the combinatorics of meter corresponds to the binomial theorem. Halāyudha's commentary includes a presentation of the Pascal's triangle(called meruprastāra). Pingala's work also contains the Fibonacci numbers, called mātrāmeru
Brahmagupta - Wikipedia, the free encyclopedia (600CE)
Algebra
Brahmagupta gave the solution of the general linear equation in chapter eighteen of Brahmasphutasiddhanta,
The difference between rupas, when inverted and divided by the difference of the unknowns, is the unknown in the equation. The rupas are [subtracted on the side] below that from which the square and the unknown are to be subtracted.
which is a solution for the equationequivalent to, where rupas refers to the constants c and e. He further gave two equivalent solutions to the general quadratic equation
18.44. Diminish by the middle [number] the square-root of the rupas multiplied by four times the square and increased by the square of the middle [number]; divide the remainder by twice the square. [The result is] the middle [number].
18.45. Whatever is the square-root of the rupas multiplied by the square [and] increased by the square of half the unknown, diminish that by half the unknown [and] divide [the remainder] by its square. [The result is] the unknown.
which are, respectively, solutions for the equationequivalent to,
and
He went on to solve systems of simultaneous indeterminate equations stating that the desired variable must first be isolated, and then the equation must be divided by the desired variable's coefficient. In particular, he recommended using "the pulverizer" to solve equations with multiple unknowns.
18.51. Subtract the colors different from the first color. [The remainder] divided by the first [color's coefficient] is the measure of the first. [Terms] two by two [are] considered [when reduced to] similar divisors, [and so on] repeatedly. If there are many [colors], the pulverizer [is to be used].
Like the algebra of Diophantus, the algebra of Brahmagupta was syncopated. Addition was indicated by placing the numbers side by side, subtraction by placing a dot over the subtrahend, and division by placing the divisor below the dividend, similar to our notation but without the bar. Multiplication, evolution, and unknown quantities were represented by abbreviations of appropriate terms. The extent of Greek influence on this syncopation, if any, is not known and it is possible that both Greek and Indian syncopation may be derived from a common Babylonian source.
Aryabhata - Wikipedia, the free encyclopedia (476CE)
In Aryabhatiya, Aryabhata provided elegant results for the summation of series of squares and cubes:
and
Here is full list. Nearly every mathematician on this list have a book on algebra in his credentials.
List of Indian mathematicians - Wikipedia, the free encyclopedia
Frankly, In field of mathematics, there is barely any country that could stand against Hindu India. I am using the term Hindu here since there is not even a single mathematician from Muslims in India. Indian mathematicians are either from Ancient time period ( before 1000CE in India) or are from Kerala school which was not overrun by muslims.
By the time muslims came to India, Science and mathematics has been declared a heresy by AL-Ghizali and muslims passionately hated pursuance of knowledge outside Koran. This is the reason for zero Islamic contribution to Science and Mathematics in India.
Unfortunately, the credit for 'invention' always goes to the one that publicized it.
If by publishing, you mean writing a book on it then all of these have been publicized and authenticated. The only reason that we know these theorems by their western name is because of colonialism.
There was no concept of Science Journals in 800BCE.