Date : 2005
Editeur / Publisher : New Delhi : Hindustan Book Agency , cop. 2005
Type : Livre / Book
Langue / Language : anglais / English
ISBN : 81-8593158-5
ISBN : 978-81-8593158-6
Mathématiques -- Inde -- Histoire -- Congrès et conférences
Classification Dewey : 510.954
Résumé / Abstract : This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics'at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era.
Résumé / Abstract : Contributions : I. Introductory Overview Mathematics in Ancient and Medieval India R. Sridharan II. Ancient Period Sanskrit Prosody, Pingala Sutras and Binary Arithmetic R. Sridharan Shedding Some Localic and Linguistic Light on the Tetralemma Conundrums F. E. J. Linton III. Classical and Medieval Period Brahmagupta's Bhavana: Some Reflections Amartya Kumar Dattta The Karani: How to Use Integers to Make Accurate Calculations on Square Roots Francois Patte Relations between Approximations to the Sine in Kerala Mathematics Kim Plofker Algorithms in Indian Mathematics M. S. Sriram Algorithms in Indian Astronomy K. Ramasubramanian Proofs in Indian Mathematics M. D. Srinivas IV. Modern Period Ramanujan and Partial Fractions George E. Andrews Contributions of Indian Mathematicians to Quantum Statistics Gerard G. Emch
Résumé / Abstract : Contributed articles presented at a seminar