History of the Mathematical Sciences

Front Matter....Pages i-viii
Evolution of History of Mathematics: Some Trends....Pages 1-12
History or Heritage? A Central Question in the Historiography of Mathematics....Pages 13-31
Abstraction and Structural Analogies in Mathematical Sciences....Pages 33-52
The Invented and Propagated Theories in the Origin of Mathematical Sciences....Pages 53-59
André Weil: The Man and the Historian of Mathematics....Pages 61-64
The Vedic Concept of Infinity and Infinitesimal System....Pages 65-82
Mahāvīra’s geometrical Problems: Traces of unknown Links between Jaina and Mediterranean Mathematics in the classical Ages....Pages 83-95
Dignāga’s Logic of Invention....Pages 97-107
Concept of Perception in Vedanta Darsana and modern Mathematical Sciences....Pages 109-117
The Egyptian Mathematical Leather Roll, Attested Short Term and Long Term....Pages 119-134
Omar Khayyam, René Descartes and Solutions to Algebraic Equations....Pages 135-148
A New Source of Evidence for the Lost Arabic Translations of Euclid’s Elements ....Pages 149-162
Pell’s Equation and the Unity of Mathematics....Pages 163-170
History, State of the Art and Future of Stochastics....Pages 171-194
C[a,b] as the Backbone of Evolution of Functional Analysis....Pages 195-210
Harmonic Analysis: A Historical Manifold during the XXth Century....Pages 211-223
From Functional Analysis to Asymptotic Geometric Analysis....Pages 225-236