Mahaviracharya was a brilliant Indian Jain mathematician & astronomer. He was a royal mathematician in the court of the Rashtrakuta King Amoghavarsha Nripatunga.

His groundbreaking mathematical treatise “Ganita Sara Samagraha” is estimated to be written no later than 850 AD.

 

It includes precise definition of terms related to time, space, matter & provides recipes for summation of series, 2D/3D measurements, computation with fractions & trigonometry.

Each of the 9 chapters (except the first one) contain numerous examples to illustrate practical applications of the mathematical axioms and recipes.

In addition to the mathematical brilliance, what I found really amazing is the usage of Sanskrit language itself in the “Ganita Sara Samagraha” work.

Even though the work is of profound mathematical importance, the Sanskrit language used here is highly poetic.

The illustrative examples contained in the book are expressed in the form of a prose which paints a mental image with stunningly flowing Sanskrit sentences.

Below I am giving an example that the book mentions regarding how to solve problems with fractions

 

Attached are the Sanskrit verses from the text for the specific example from Chapter 4 Miscellaneous Problems on Fractions – verse 17 to 22

Below I have provided the essence of the mathematical example translated in English

Mahaviracharya, the genius, took advantage of the fact that Sanskrit is a complete language. Even for illustrating mathematical problems, ancient Indian mathematicians used highly sophisticated Sanskrit that evoked poetic imagery in the learner’s mind.

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