Contemporary Relevance of Lilavati (of Bhaskaracarya)

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

Bhaskara-prabha, Ed. K Ramasubramanian, Takao Hayashi, Clemency Montelle, Hindustan book agency, New Delhi 2019, 2019

This article provides a general study of two unpublished commentaries on Indian mathematical work Līlāvatī (of Bhaskarācārya). These commentaries form valuable source material for further research on textual tradition ofLīlāvatī, besides indicating the rich source of oral tradition of medieval Kerala Mathematics.

2015

International Journal of Statistics and Applied Mathematics, 2021

Indian mathematics has its deep roots in the Vedas, different from what is known as Vedic Mathematics. Vedic age gave rise to a new era of progress in the field of Science, Technology and Development. The Hindu Scripture Vedas is synonymous with all kinds of original source of knowledge and intellectual wisdom in the universe leading to modern knowlege in modern mathematics. Indian mathematicians made tremendous contributions to the entire world of Mathematics and Science. Decimal number system as well as the invention of zero (0) are among the greatest contributions of Indian mathematicians. The theory of trigonometry, Mathematical Modelling, Algebra, algorithm, modern arithmetic, sine and cosine functions leading to modern trigonometry, Diophantine equation, square root, cube root, negative numbers are also developed by Indian mathematicians. In this review article, the work of some of the renowned Indian mathematicians from Indus Valley civilization and the Vedas to modern times are covered in short with the hope that it may reveal hidden fundamental mathematical ideas as basic ideal tools which may usefully motivate for further research work in every domain of mathematical sciences, natural and applied sciences, engineering and social sciences. Moreover, there are many more remarkable Indian mathematicians who contributed to the origin of mathematical sciences. They have made several general contributions to mathematics that have significantly influenced scientists and mathematicians in the modern times.

Transstellar Journals, 2022

The objective of this paper is to give a summary of the contributions of Indian mathematicians to a claim about a Diophantine equation in modern times. Vedic literature has contributed to Indian mathematics about 1000 B.C. and the year 1800 A.D. For the first time, Indian mathematicians have drawn up various mathematics treaties, defining zero, the numeral method, the methods of arithmetic and algorithm, the square root, and the cube root. Although, there is a distinct contribution from the sub-continent during readily available, reliable information.

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.

arXiv: History and Philosophy of Physics, 2015

Mathematics is probably the only subject that can be classified both as art as well as science - former, because it is not constrained by the real world and latter because it is a logical system with precisely defined rules as well as primitives that lead to unambiguous nontrivial theorems. Indian (and of Indian origin) mathematicians have continued to do seminal work till present times, culminating in Manjul Bhargava receiving the Fields Medal last year. In such fabulous times, a non-mathematician ponders about the nature of mathematics, and revisits the question: why are fundamental laws of Nature inherently mathematical?

We find the use of mathematics from the early Vedic age. Śulbasūtras (9 th c. B.C. -5 th c. B.C.), written specially for making alters (vedis) for the rituals of Hindus, are the manuals of geometric constructions which could not have come into existence overnight. It seems more probable that Indian geometry developed gradually into the Śulvasūtra stage with the intervening links buried in the sands of time. Āryabhata I (475A.D.), Brahmagupta (7 th century) and Bhāskarācārya (1150 A.D.) did works in many fields of mathematics which were applied in many fields including astronomy and geography. Brahmagupta's theorems on cyclic quadrilaterals are the great achievements in the mathematical history of India. Mathematicians from Kerala added more advancement in mathematics and broke the finite barrier and soared to infinite. Their infinite series expansions may have anticipated other mathematicians to work on that field. Because of their works, the period between 13 th and 18 th century A.D. is known as the golden age of Indian mathematics. Pingalacchandasūtram is a book related to prosody in Sanskrit but it uses some advanced mathematical expressions which may attract the interest of a mathematician.