Mathematics In India Research Articles

Geometrical Knowledge in Early Sri Lanka

This article addresses on history of mathematics (specially one of its specific branch, geometry) in Sri Lanka. Despite the large amount of research on the history of mathematics in India, China and the Middle East, that on Sri Lanka still remains limited. Sri Lanka had close relations with all these regions from ancient times and knowldge on mathematics should not be an alien subject there. This article tries to address the paucity of research on the history of mathematics in Sri Lanka while emphasizing the local character of that ancient knowldge.

Some highlights of 20th century mathematics in India - a personal perspective

Some highlights of 20th century mathematics in India - a personal perspective

Presentation of the Special Issue on Recent Advances in PDE: Theory, Computations and Applications

Abstract This is an introduction to the first eight articles in this volume that contains the special issue on Recent Advances in PDE: Theory, Computations and Applications. These peer-reviewed articles address recent developments in the areas of convection-diffusion-reaction problems, stabilizability of control systems with application to Oseen problems, obstacle problems, multigrid methods for quad-curl problems and discontinuous Petrov–Galerkin methods for spectral approximations. Some of the contributors of these articles were plenary speakers of the conference organized in honor of the numerical analyst Professor Amiya Kumar Pani. The conference was organized to acknowledge his outstanding contribution for the growth of applied mathematics in India.

Development of Industrial and Applied Mathematics in India

India is well known in the world for its contribution to the ancient Mathematics and even people agree in different parts of the world that India has done very well in the areas of pure mathematics during contemporary time through the work of researchers at the Tata Institute of Fundamental Research at Bombay and large number of universities in different parts of the country. It is true that in contemporary time most of the educational centers of higher education in India mainly focus on pure form of mathematics, Definition, Existence and uniqueness theorems, Lemma and corollaries. Mainly problems are direct/well posed (solution exists which is unique and stable). Illustration of mathematical problems with physical phenomena or processes and interpretation of solution and its visualisation or formulation of physical phenomena in appropriate mathematical concepts are not emphasized in the teaching of pure or applied mathematics.

Mathematics in India

Mathematics in India

Pursuing mathematics in India

Pursuing mathematics in India

Book Review: Indian Mathematics and Astronomy: Mathematics in India

Book Review: Indian Mathematics and Astronomy: Mathematics in India

Mathematics in India by Kim Plofker

Mathematics in India by Kim Plofker

Plofker, Kim, Mathematics in India

Plofker, Kim, Mathematics in India

Mathematics in India

Mathematics in India

International Mathematical Education: Some Recent Efforts for Improvement of School Mathematics in India

Editor's Note.—The Mathematics Teacher (India) is a new journal in mathematics education directed mainly at secondary school teaching. With the September October 1966 issue it began its third year of publication.

Ancient Indian Mathematics and Vedha

FOR too long the history of mathematics in India was studied only by scholars suffering under the almost insuperable handicap of belonging to an alien civilization ; but recently a number of Indian mathematicians have made a welcome appearance in this appropriate field. Prof. Gurjar‘s little book on mathematics up to the twelfth century and on pre-telescopic astronomical instruments is full of interesting material, but its tone is altogether deplorable. Ancient Indian Mathematics and Vedha By Prof. L. V. Gurjar. Pp. vi + 202, (Poona: Ideal Book Service, 1947.) 6.4 rupees; 10s.

The Status of Mathematics in India and Arabia during the “Dark Ages” of Europe

Political and economic world historians have found it convenient to divide the time from the fall of Rome to the discovery of America into two periods, and to designate the first of these by the term “Dark Ages.” One work accounts for this name by “the inrush into Europe of the ba rbarians and the almost total eclipse of the light of classical culture.” The period covers, roughly, the time from 500 to 1000 A.D. Part of these “barbarians” came down from the north and the rest attacked from the south, the latter bound together politically and religiously by the great, although probably totally illiterate, leader Mohammeed into a vast dominion that at one time or another covered all of eastern Asia, northern Africa, Spain, France in part, and the European islands of the Mediterranean Sea. It was during this period that Europe was dark, learning at low ebb, and the development of mathematics almost negligible. The world as a whole was not dark, and as applied to general history the expression “Dark Ages” is a gross misnomer. Throughout the entire period there was considerable intellectual (including mathematical) activity among the Hindus and, beginning about 750, there developed many centers of Muslim civilization which rose to the very peak of mathematical productivity.

The History of Arithmetical Notation

THE invention of the decimal notation, which involves the use of zero and the assignment of local value to digits, made such an immense alteration in the character of arithmetical calculations that it would be extremely interesting to know its origin. It became familiar in Europe mainly through Mohammedan sources; hence the term Arabic, as opposed to Roman notation. But the discovery of Sanskrit literature and of Indian works on mathematics led to the theory that the real inventors of the system were the Hindus. The object of Mr. Kaye, in the paper referred to below,1 is to show that this conclusion has been based on insufficient evidence, and that the whole question requires further and more careful consideration, including a critical study of Indian texts, to avoid being misled by spurious documents. Mr. Kaye gives in the first place a series of arguments which go far to prove that there is no trustworthy evidence for the use of the new notation in India before the-ninth century A.D., and that, if a single inscription prove untrustworthy, we shall have to fix the tenth century as the earliest date attested. Another point on which there can be no doubt that he is right is that the Arabic epithet hindashi, applied to the decimal notation, certainly does not mean Indian, the word for which, is hindi, and cannot be connected with hindashi by any regular Arabic method of word-formation; not to mention that hindashi usually means “geometrical,” and was derived from a Persian word by the Arabic lexicographers themselves. There is no probability in favour of Colebrooke's conjecture that the Indian work translated by Alfarazi was entitled “Siddhanta”; and it is clear enough that after Brah-magupta there was a decline in the study of mathematics in India.