Brahmagupta:

598-665 (VIII century)

He was a renowned Indian astronomer

Several of his chapters in “Brahma-sphuta-siddhanta ” are devoted to the field of Mathematics, foundations of algorithms and equations.

His mathematical theories had great influence on posterior Arabic mathematicians

Introduced the idea of zero, in his texts, he recognized it as a symbol of lack of quantity.

In his studies he also acknowledged the value of negative numbers.

He also theorized the possibilities of quadratic equations to have both a positive answer and a negative one

He developed the Brahmagupta's Formula, which calculates the area of a cyclic quadrilateral.

Aryabhata:

Born around 476 and died around 550.

The earliest Indian mathematician known to today’s scholars.

He was one of the first mathematicians to use algebra.

Influenced Islamic astronomy.

he calculated the right amount of days in a year (365), solar and lunar eclipses.

In his work known as Aryabhauyam he studies spherical geometry and trigonometry, and gave approximation to pi.

He also mentions around thirty rules of trigonometry, algebra, and arithmetic

He named the first 0 decimal positions.

He displayed algorithms for calculating square and cubic roots.

“Mathematical series, quadratic equations, compound interest (involving a quadratic equation), proportions (ratios), and the solution of various linear equations are among the arithmetic and algebraic topics included.”

He defined the basis for what is known today as the Euclidean algorithm.

The first Indian satellite launched in 1975 was named after him.

HISTORY OF WRITING WHOLE NUMBERS

-The origin of counting whole numbers is not completely clear (From India taken to Spain at around the VIII century?)

The abacus is said to have been the beginning of the use of whole numbers-which later on led to the need of a WRITTEN REPRESENTATION.

Leads to the need of written representation- which brings in the question: What represents an empty abacus?

The Hindu numerical system started being used in the XVIII century.

Prohibited in Florence i order to keep using the Roman Numerical System.

Fibonacci defends this system in his book "Liber Abaci".

The English use Roman System until the XVII century.

Bibliography

"Aryabhata." Britannica School, Encyclopædia Britannica, 2 Mar. 2015. school.eb.com/levels/high/article/Aryabhata/9749. Accessed 28 Mar. 2017.

"Brahmagupta." Britannica School, Encyclopædia Britannica, 16 Mar. 2015. school.eb.com/levels/high/article/Brahmagupta/623447. Accessed 28 Mar. 2017.

Babini, JoseÌ . Historia Sucinta De La Matematica. Madrid, Espasa-Calpe, 1969.

“La Numeracion Arabica.” Enciclopedia Tematica Ilustrada Circulo, Norma, 1999, pp. 20–20, Accessed 30 Mar. 2017.

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