D.D. Kosambi: Selected Works in Mathematics and Statistics

ISBN-13: 9788132238843 / Angielski / Miękka / 2018 / 232 str.

Ramakrishna Ramaswamy

Spis treści

A Scholar In His Time: Contemporary Views of D.D. Kosambi.- Integrating Mathematics and History: The Scholarship of D.D. Kosambi.- Constructing a D.D. Kosambi Archive.- Steps In Science.- Notes on Statistics.- An Introduction to Lectures on Dialectical Materialism.- Generalization of the Second Theorem of Bourbaki.- The Estimation of Map Distances from Recombination Values.- An Application of Stochastic Convergence.- AffinGeometrischeGrundlagen der Einheitlichen Feldtheorie.- Parallelism and Path Spaces.-  A Statistical Study of the Weights of Old Indian Punch Marked Coins.- The Effect of Circulation Upon the Weight of Metallic Currency.- Valid Tests of Linguistic Hypothesis.- Statistics in Function Space.- Map Distance.- Possible Applications of the Functional Calculus.- The Method of Least Squares.- The Sampling Distribution of Primes.- Pathspaces of Higher Order.- The Efficiency of Randomization by Card Shuffling.- Lie Rings in Path Space.- The Differential Invariants of a Two Index Tensor.- Seasonal Variation in the Indian Birth Rate.- Seasonal Variation in India Death Rate.- The Law of Large Numbers.- Test of Significance for Multiple Observations.- Statistical Methods in Number Theory.

O autorze

Ram Ramaswamy is professor in the School of Physical Sciences as well as in the School of Computational and Integrative Sciences at Jawaharlal Nehru University, New Delhi. He served as the vice-chancellor of the University of Hyderabad during 2011–2015. Professor Ramaswamy’s research interests are in nonlinear science and systems and computational biology, and over the past decade, also in Kosambi’s life and works. He has edited a book of essays by D. D. Kosambi, Adventures Into the Unknown (Three Essays Collective, Gurgaon) that appeared earlier this year.

Blurb

This book fills an important gap in studies on D. D. Kosambi. For the first time, the mathematical work of Kosambi is described, collected and presented in a manner that is accessible to non-mathematicians as well. A number of his papers that are difficult to obtain in these areas are made available here. In addition, there are essays by Kosambi that have not been published earlier as well as some of his lesser known works. Each of the twenty four papers is prefaced by a commentary on the significance of the work, and where possible, extracts from technical reviews by other mathematicians.