A Study of Two Malayalam commentaries on Lilavati

The effulgence of Indian wisdom, Ed. P. C. Muralieemadhavan, New Bharatiya Book Corporation,Delhi, 2013

Lilavati, as is well known, is the most popular and celebrated work on Indian mathematics. The mathematics - the arithmetic and algebra - discussed therein is outdated. But the philosophy of science reflected in the work is very much relevant today. The way in which concepts are looked upon, how they are conceived and develped; and the thought process involved are worth to be probed into. In fact works like Lilavati assume significance from this angle of view alone.

Boston Studies in the Philosophy of Science, 2010

A renewed interest for contextualization in indological studies 1 , is but slowly affecting publications on Indian mathematics. The isolation of history of mathematics within the general field of indology derives partly from a lively historiographical trend of technical and patriotic history of mathematics which remains oblivious to social science. Preservation plays a role as well: precious little information exists on the context in which mathematics and astronomy were practiced in India in the past 2 . To overcome this problem some historians of science have turned to periods (XVIth-XIXth century) and places where institutions, libraries and many texts help us contextualize their mathematical and astronomical ideas 3 .

A summary of the medieval mathematical text by Bhāskara II known as Lilāvātī, with accompanying challenge questions for students.

IRJET, 2020

Mathematics has its application in all other subjects. This has its influence in the field of literature also. Poems play an important role in Literature. The sound and rhythm of poetry make it unique. Each poem is unique in its own way. Metre is the rhythmic structure of a poem. These are mathematical measures of a poem. This work deals with the influence of mathematics in Malayalam literature from the concept of Metre. This mathematical concept gives peculiar tone and rhythm to the literary works. Here in this work, special reference is given to two Malayalam Metres-Nathonnatha and Tharamgini.

INTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT

The history of any ancient civilization is often surrounded by mystery and controversy. Still, Western scholars have not given sufficient credit to the work of some ancient Indian mathematicians, notably Brahmagupta, Bodhayana and Bhaskara II, despite the fact that their entire works were translated into English by the nineteenth-century British Sanskrit scholar Henry Thomas Colebrooke. In the initial part was done by The purpose of this article is to lay out the facts and leave the reader free to interpret and evaluate them according to his own understanding of the subject. Sincere efforts have been made to bring the contribution of some ancient Indian mathematicians to the public. Keywords:- Right angled triangle, Decimal system, Alphanumeric system, Shulva Sutra.

2015

2020

The literature on the exact sciences in Sanskrit in the second millennium is significant from a historical point of view because of the emergence of innovative ideas, systematization of the traditional knowledge, advanced technicality, creativity of the scientific writing style, and so on. Śrīpati, a mathematician-astronomer, is the first known writer of exact sciences in this era. He lived in the 11th century most probably in Maharashtra and he wrote in a vast range of subjects from astrology to astronomy. In spite of his prolific writings and influence in the early stages of the second millennium, Śrīpati has been understudied. Śrīpati is the first author who wrote a separate mathematical text while still retaining all the main mathematical rules in theoretical astronomical texts. It is Śrīpati who used different elegant metrical forms in versification of mathematical rules. Most importantly, he invented several rules in arithmetic and provided inspiration for successive mathemati...

Ancient Indian Leaps into Mathematics, 2010

While there was an awareness of ancient Indian mathematics in the West since the sixteenth century, historians discuss the Indian mathematical tradition only after the publication of the first translations by Colebrooke in 1817. Its reception cannot be comprehended without accounting for the way new European mathematics was shaped by Renaissance humanist writings. We show by means of a case study on the algebraic solutions to a linear problem how the understanding and appreciation of Indian mathematics was deeply influenced by humanist prejudice that all higher intellectual culture, in particular all science, had risen from Greek soil.

This book is part of a major project undertaken by the Centre for Studies in Civilizations (New Delhi), being one of a total of ninety-six planned volumes. The author is a statistician and computer scientist by training, who has concentrated on historical matters for the last ten years or so. However, the book has very ambitious aims, proposing an alternative philosophy of mathematics and a deviant history of the calculus. Throughout, there is an emphasis on the need to combine history and philosophy of mathematics, especially in order to evaluate properly the history of mathematics in India, in particular the history of the calculus.