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. The volume should be of value to those interested in the history of mathematics.
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.