Computing Science in Ancient IndiaThammavarapu R. N. Rao, Subhash Kak Description: Not only the sign for zero, but also the binary number system, the ideas of metarules, algebraic transformation, recursion, hashing, mathematical logic, formal grammars, and high level language description arose first in India. Indian mathematical science had already reached dizzying heights about 2,500 years ago by the time of Panini and Pingala, considered by tradition to have been brothers. Panini's grammar for Sanskrit, which is equivalent in its computing power to the most powerful computing machine, has not yet been matched for any other language, while Pingala described the binary number system. This classic book of contributions by the leading scholars in the world presents an overview of these seminal contributions to computer science. It also includes chapters on models and computation in astronomy and cognitive science. |
Contents
An Overview of Ancient Indian Science | 6 |
Binary Numbers in Indian Antiquity | 20 |
The Katapayadi Formula and the Modern Hashing | 39 |
Copyright | |
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Agni altars ancient Indian Aryabhata astronomy Atharva Veda automaton Backus binary number Brahmana cakra century A.D. cognitive complementarity computer science consciousness David Frawley decimal number Delhi described earlier Earth elements fire formal Frawley Gods graha grammar guru heavenly bodies Hindu History of Science ideas Ifrah Indian logic Indian science Janaka raga Jupiter Katapayadi scheme knowledge laghu language Leibniz linguistic Louisiana Mahābhārata Mars mathematics Mercury meters metrical pattern metrist million yojanas mind Moon Naksatras notation notes orbit Panini Panini-Backus Form Philosophy physics Pingala planetary prastāra psychology Purānas raga rank number represented Rg Veda Rigveda rock art rules Sankhya Sanskrit Sayana's seers Seidenberg Shatapatha Brahmana Siddhanta Śiva smoke South Indian Staal stars structure Subhash Subhash Kak sūtras syllables symbols synodic period Taittiriya texts theory tradition University Vedic literature Vedic ritual Venus verse Yajur Veda yojanas