Download or read book Computation in Ancient India written by T. R. N. Rao and published by . This book was released on 2016-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The material in this book presents an introduction to the Indian contributions to the science of computing. The book starts with an overview of Indian science. The next three chapters deal with the description of binary numbers, the Katapayadi notation and its equivalence to hashing that is used in computer systems, and the Panini-Backus form to describe a high-level computer language based on the ideas of the great grammarian Panini. The next two chapters describe some technical aspects of Panini's grammar and Indian logic. The Paninian structure (5th century BCE) has been shown to be equivalent to the Turing machine. The rise of mathematical logic in India took place centuries before its rediscovery in Europe. The next chapter shows how one needs ingenuity in decoding Indian texts. It is shown that Indian myths represent information regarding the motions of the planets. The last two chapters deal with cosmology and cognitive science.
Download or read book Computing Science in Ancient India written by Thammavarapu R. N. Rao and published by . This book was released on 2000 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cultures of Computation and Quantification in the Ancient World written by Karine Chemla and published by Springer Nature. This book was released on 2023-01-01 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.
Download or read book Ancient Computing written by Michael Woods and published by Twenty-First Century Books. This book was released on 2000-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the methods of computation developed in various civilizations around the world, from prehistoric times up until the end of the Roman Empire.
Download or read book Ancient Indian Leaps into Mathematics written by B.S. Yadav and published by Springer Science & Business Media. This book was released on 2011-01-20 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
Download or read book Ancient Computing Technology written by Mary B. Woods and published by Twenty-First Century Books. This book was released on 2011-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know . . . • Ancient cultures measured time accurately with water clocks? • An engineer in the first century B.C. designed an odometer to calculate distance traveled? • People computed the first values of pi about four thousand years ago? Computing technology is as old as human society itself. The first humans on Earth used basic computing skills. They counted by carving tally marks in bone. They used body parts and basic tools to measure. Over the centuries, ancient peoples learned more about computing. People in the ancient Middle East used scales to measure goods for trading. The ancient Egyptians wrote textbooks including multiplication and division problems. The ancient Chinese developed an abacus for speedy calculations. Ancient Greeks made advances in geometry. What kinds of tools and techniques did ancient mathematicians use? Which of their inventions and discoveries have stood the test of time? And how did the ancients set the stage for our own modern computing? Learn more in Ancient Computing Technology.
Download or read book A People s History of Computing in the United States written by Joy Lisi Rankin and published by Harvard University Press. This book was released on 2018-10-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does Silicon Valley deserve all the credit for digital creativity and social media? Joy Rankin questions this triumphalism by revisiting a pre-PC time when schools were not the last stop for mature consumer technologies but flourishing sites of innovative collaboration—when users taught computers and visionaries dreamed of networked access for all.
Download or read book In Search of the Cradle of Civilization written by Georg Feuerstein and published by Motilal Banarsidass Publishing House. This book was released on 2005 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this pathbreaking book, the authors show that the ancient Indians were no primitives but possessed a high spiritual culture, which not only influenced the evolution of the Western world in decisive ways but which still hs much to teach us today. India's archaic spirituality is codified in the rich symbols, metaphors and myths of the magnificent Rig-Veda, which is shown to be much older than has been widely assumed by scholars. The present book also unravels the astonishing mathematical and astronomical code hidden in the Vedic hymns. Anyone interested in ancient cultural history, India, archaeo-astronomy or spirituality will find this well researched and cross-cultural work spellbinding and enriching.
Download or read book History of Computing in Education written by J.A.N. Lee and published by Springer. This book was released on 2006-04-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work derives from a conference discussing the history of computing in education. This conference is the first of hopefully a series of conferences that will take place within the International Federation for Information Processing (IFIP) and hence, we describe it as the First Conference on the History of Computing in Education (HCE1). These proceedings represent a collection of works presented at the HCE1 Conference held in association with the IFIP 2004 World Computer Congress held in Toulouse, France. Contributions to this volume range from a wide variety of educational perspectives and represent activities from four continents. The HCE1 conference represents a joint effort of the IFIP Working Group 9.7 on the History of Computing and the IFIP Technical Committee 3 on Education. The HCE1 Conference brings to light a broad spectrum of issues and spans fourcontinents. It illustrates topics in computing education as they occurred in the “early days” of computing whose ramifications or overtones remain with us today. Indeed, many of the early challenges remain part of our educational tapestry; most likely, many will evolve into future challenges. Therefore, this work provides additional value to the reader as it will reflect in part the future development of computing in education to stimulate new ideas and models in educational development.
Download or read book Contributions to the History of Indian Mathematics written by Gerard G. Emch and published by Springer. This book was released on 2005-10-15 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Automation and Computation written by Satvik Vats and published by CRC Press. This book was released on 2023-06-22 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the International Conference on Automation and Computation 2022 (AUTOCOM-22) consist of complete research articles that were presented at the conference. Each of the research articles was double-blind reviewed by the experts of the corresponding domain. The book contains a blend of problems and respective solutions related to computer-based automation & computation to highlight the recent technological developments in computer-based automation. It serves as an environment for researchers to showcase the latest research results on Data Science & Engineering, Computing Technologies, Computational Intelligence, Communication & Networking, Signal & Image Processing, Intelligent Control Systems & Optimization, Robotics and Automation, Power, Energy & Power Electronics, Healthcare & Computation, AI for human interaction, etc. It aims to give deep insight into the current trends of research in science and technology and shall introduce the reader to the new problems and respective approaches toward the solution and shall enlighten the researchers, students and academicians about the research being carried out in the field.
Download or read book Modern Linguistics in Ancient India written by John J. Lowe and published by Cambridge University Press. This book was released on 2024-03-21 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and relevant introduction to the ancient Indian linguistic tradition, this book assesses the influence of Indian linguistic thought on Western linguistics. It is essential reading for scholars and students of theoretical and historical linguistics, as well as those interested in Indian languages, and Indian/South Asian Studies.
Download or read book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators written by Alexei Volkov and published by Springer. This book was released on 2019-01-11 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
Download or read book Ancient Indian Leaps into Mathematics written by B.S. Yadav and published by Birkhäuser. This book was released on 2010-10-28 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.
Download or read book Studies in the History of Indian Mathematics written by C. S. Seshadri and published by Springer. This book was released on 2010-08-15 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.
Download or read book The Technological Indian written by Ross Bassett and published by Harvard University Press. This book was released on 2016-02-15 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the late 1800s India seemed to be left behind by the Industrial Revolution. Today there are many technological Indians around the world but relatively few focus on India’s problems. Ross Bassett—drawing on a database of every Indian to graduate from the Massachusetts Institute of Technology through 2000—explains the role of MIT in this outcome.
Download or read book Indian Mathematics written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.
