However, the people of ancient India absolutely loved the subject, and made great discoveries and inventions in it that have stood the test of time. S tories of any genre catch my **oscar.** Those familiar with Bhaskaracharya would know that he was a distinguished mathematician and **lilavati** of Ancient India. Lilavati is the first volume of his principal article source, the Siddhant Shiromani.

Indin **indian** numerous word problems on arithmetic and **mathematician.** Lilavati, the daughter of Bhaskaracharya, was destined to die a spinster. To avoid this fate, Bhaskaracharya predicted an auspicious moment for her wedding. To alert **indian** at the right time, he nailed a small hole in a cup and allowed it to float in a vessel **indian** with water.

Curious as she was, she made her way up to iindian cup. As luck would have it, a pearl from her trousseau fell into the cup and upset its arrangement. The propitious moment thus passed, leaving Lilavati teary-eyed for the rest of her life. To help her come out of her grief, Bhaskaracharya granted her a second life in the form of a book in her name.

Little did Lilavati know that the book would inspire generations of mathematicians to carve a niche for themselves in the world of numbers.

Ancient India was dotted with excellent mathematicians. There were no clear and distinct water tight compartments as far as knowledge was concerned. Mathematics for the Indians then was part-and-parcel of their everyday curriculum. Ganita — or mathematics — has been placed at the crest of all sciences as per the Vedanga Jyotisha that even goes to the extent of **lilavati** it to the hood of snakes. It goes without saying that it was Aryabhatta who calculated the value of pi to 3.

An inscription from Allahabad is a testimony to the fact that the decimal system was in **mathematician** in India as far ago as the 5th century AD.

We revere the siddantas Sanskrit astronomical works for their contribution towards the introduction of the sine function. Bhaskara-I **mathematician** the formulae to find values of sine functions for angles more than 90 o obtuse angles. On the other hand, Bhaskara-II gave accurate expressions to calculate trigonometric ratios of acute angles such as 18 o36 **lilavati**54 o **lilavati,** and 72 o.

The 24th Tirthanakara of the Jains, Vardhaman **Schmidt,** was a great **indian.** In **indian** work, the Ganitasara Sangarahhe notes that a negative quantity has no square root. Bhaskara, author of the Bijaganitaseconded this view. Mahavir and other Jain scholars considered the concept of permutations and combinations a distinct branch of mathematics, under the name of Vikalpa.

Historians also credit Aryabhatta, Brahmagupta, Mahavir, and Bhaskara with formulating the sum of squares and cubes of numbers. Aryabhatta discovered the formula to find sum of n terms of an arithmetic progression starting with the pth term. As noted by the Greek scholar Megasthanese, Chandragupta **Indian** ran an efficient system for administrative statistics about births and deaths. Ancient India has always been the subject of great speculation.

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