What are India's greatest achievements in math

Indian-Arabic number system

the number system used in ancient India.

The decimal position system with the notation of digits can be considered one of the greatest cultural achievements of ancient India. The following facts were essential for the creation of the decimal position system:

a) As far as we know, the Indian way of counting was always decimal. Finds from northwest India, the so-called Indus cultures (Amri culture, Harappa culture) prove this. The numbers were represented by individual horizontal notches or groups of notches. In Sanskrit there were fixed words for the numbers 1 to 9 and the powers of ten.

b) The Indian scholars had, e.g. Partly for religious reasons, a preference for large numbers. The series of numbers was therefore continued very far in decimal.

c) Since the 7th century the use of the zero has been common.

Despite these proven facts, it is still largely unknown when and how the decimal position system came about. Brahmi numerals were in use in much of India. There were individual digits for the nine "ones", for the nine "tens" etc. In addition, especially in the West Indies, from the 4th century BC. used the Kharosti digits, which were based on a combination of the system of ten and the system of four. The decimal position system advanced very quickly to the east and west. In China with his z. The decimal number system (rod digits) has been used since the 8th century, in Syria the Indian way of writing was known since the 2nd half of the 7th century, in 773 Indian mathematics with its number system was introduced in Baghdad < agenum="" _483bekannt.="" al-hwarizmi="" beschrieb="" als="" erster="" arabischer="" mathematiker="" das="" dezimale="" stellenwertsystem="" mit="" den="" indischen="" ziffern.="" aus="" den="" indischen="" brahmi-ziffern="" entstanden="" etwa="" im="" 10.jahrhundert="" die="" ostarabischen="" ziffern="" mit="" einem="" speziellen="" zeichen="" für="" die="" null.="" bis="" auf="" kleinere="" modifikationen="" werden="" diese="" ziffern="" noch="" heute="" in="" der="" arabischen="" welt="" verwendet.="" die="" westarabischen="" ziffern,="" die="" noch="" in="" der="" gegenwart="" in="" marokko="" benutzt="" werden,="" waren="" seit="" etwa="" 950="" auf="" der="" iberischen="" halbinsel="" bekannt.="" sie="" sind="" aber="" wohl="" nicht="" dort="" entstanden,="" sondern="" auch="" aus="" dem="" osten="" importiert="" worden.="" aus="" den="" westarabischen="" ziffern="" sind="" wahrscheinlich="" unsere="" heutigen="" ziffern="" entstanden="" (vgl.="" auch="" arabische="" mathematik).="" die="" schriftbilder="" der="" westarabischen="" ziffern="" sind="" in="" den="" verschiedenen="" handschriften="" aber="" sehr="" unterschiedlich.="" es="" besteht="" noch="" erheblicher="">