On an Untapped Source of Medieval Keralese Mathematics
نویسندگان
چکیده
The Keralese origin of these series is independent of the discovery in a later century of the inverse-tangent expansion [ A ] by JAMES GREGORY (1671) and GOTTFRIED WILHELM LEIBNIZ (1673), of the sine and cosine series by ISAAC NEWTON (1670) and LEIBNIZ (1676). The Malay~]am work Yukti-bhCtsa, where these series are found, belongs unquestionably to the sixteenth century, and there is not the slightest possibility of their being a subsequent interpolation in the text, drawn from a later European source and rephrased with only a veneer of local colouring. The Yukti-bhds. a also states, in the particular case 0=~/4 of the series [A], three successively closer approximations to re/4 of form
منابع مشابه
The Philosophy of Mathematics, Values and Keralese Mathematics
This paper explores the philosophical significance of the Keralese and Indian subcontinent contribution to history of mathematics. Identifying the most accurate genesis and trajectory of mathematical ideas in history that current knowledge allows should be the goal of every history of mathematics, and is consistent with any philosophy of mathematics. I argue for the need of a broader conceptual...
متن کاملInquisitive Analysis of the Point Source Effect on Propagation of SH Wave Through an Orthotropic Crustal Layer
The occurrence of SH wave propagation under the effect of a point source in an orthotropic substratum lying over a heterogeneous orthotropic half space is deliberated in the prospect of a devastating earthquake. The quadratic alteration is acknowledged for density and shear modulus which is hypothesized to be a function of depth. The method of Green's function and transformation technique contr...
متن کاملAn Untapped Resource: Patient and Public Involvement in Implementation; Comment on “Knowledge Mobilization in Healthcare Organizations: A View From the Resource-Based View of the Firm”
This commentary considers the potential role of patient and public involvement in implementation. Developing an analytical thread from the resource-based view of the Firm, we argue that this involvement may create unique resources that have the capacity to enhance the impact of implementation activity for healthcare organisations.
متن کاملEditorial, Volume 7, Issue 2
According to Patrick Colm Hogan, in the US academic context, few people in literary theory or comparative literature have much familiarity with non-Western literary theories, and fewer still have research expertise in the field. While working on a project in non-Western literary theory, he was surprised to find that many of his friends and colleagues found it difficult to understand what non-We...
متن کاملIsma’ili Thesis on the Ecclesiastical Hierarchy
Though it is widely assumed that Sunni Islam does not have an equivalent to the Christian ecclesiastical hierarchy, Shii groups such as the Medieval Ismailis did have an organised teaching, spiritual, and temporal hierarchy. Evidence gathered from primary sources shows that this Ismaili 'ecclesiastical' hierarchy is strictly intertwined with the Ismaili interpretation of Neoplatonic cosmology a...
متن کامل