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.
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.
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.
To understand modern science as a coherent story, it is essential to recognize the accomplishments of the ancient Hindus. They invented our base-ten number system and zero that are now used globally, carefully mapped the sky and assigned motion to the Earth in their astronomy, developed a sophisticated system of medicine with its mind-body approach known as Ayurveda, mastered metallurgical methods of extraction and purification of metals, including the so-called Damascus blade and the Iron Pillar of New Delhi, and developed the science of self-improvement that is popularly known as yoga. Their scientific contributions made impact on noted scholars globally: Aristotle, Megasthenes, and Apollonius of Tyana among the Greeks; Al-Biruni, Al-Khwarizmi, Ibn Labban, and Al-Uqlidisi, Al-Ja?iz among the Islamic scholars; Fa-Hien, Hiuen Tsang, and I-tsing among the Chinese; and Leonardo Fibbonacci, Pope Sylvester II, Roger Bacon, Voltaire and Copernicus from Europe. In the modern era, thinkers and scientists as diverse as Ralph Waldo Emerson, Johann Wolfgang von Goethe, Johann Gottfried Herder, Carl Jung, Max Müller, Robert Oppenheimer, Erwin Schrödinger, Arthur Schopenhauer, and Henry David Thoreau have acknowledged their debt to ancient Hindu achievements in science, technology, and philosophy. The American Association for the Advancement of Science (AAAS), one of the largest scientific organizations in the world, in 2000, published a timeline of 100 most important scientific finding in history to celebrate the new millennium. There were only two mentions from the non-Western world: (1) invention of zero and (2) the Hindu and Mayan skywatchers astronomical observations for agricultural and religious purposes. Both findings involved the works of the ancient Hindus. The Ancient Hindu Science is well documented with remarkable objectivity, proper citations, and a substantial bibliography. It highlights the achievements of this remarkable civilization through painstaking research of historical and scientific sources. The style of writing is lucid and elegant, making the book easy to read. This book is the perfect text for all students and others interested in the developments of science throughout history and among the ancient Hindus, in particular.
An illustrated journey through 250 milestones in computer science, from the ancient abacus to Boolean algebra, GPS, and social media. With 250 illustrated landmark inventions, publications, and events—encompassing everything from ancient record-keeping devices to the latest computing technologies—The Computer Book takes a chronological journey through the history and future of computer science. Two expert authors, with decades of experience working in computer research and innovation, explore topics including: the Sumerian abacus * the first spam message * Morse code * cryptography * early computers * Isaac Asimov’s laws of robotics * UNIX and early programming languages * movies * video games * mainframes * minis and micros * hacking * virtual reality * and more “What a delight! A fast trip through the computing landscape in the company of friendly tour guides who know the history.” —Harry Lewis, Gordon McKay Professor of Computer Science, Harvard University
In the late 1800s, Indians seemed to be a people left behind by the Industrial Revolution, dismissed as “not a mechanical race.” Today Indians are among the world’s leaders in engineering and technology. In this international history spanning nearly 150 years, Ross Bassett—drawing on a unique database of every Indian to graduate from the Massachusetts Institute of Technology between its founding and 2000—charts their ascent to the pinnacle of high-tech professions. As a group of Indians sought a way forward for their country, they saw a future in technology. Bassett examines the tensions and surprising congruences between this technological vision and Mahatma Gandhi’s nonindustrial modernity. India’s first prime minister, Jawaharlal Nehru, sought to use MIT-trained engineers to build an India where the government controlled technology for the benefit of the people. In the private sector, Indian business families sent their sons to MIT, while MIT graduates established India’s information technology industry. By the 1960s, students from the Indian Institutes of Technology (modeled on MIT) were drawn to the United States for graduate training, and many of them stayed, as prominent industrialists, academics, and entrepreneurs. The MIT-educated Indian engineer became an integral part of a global system of technology-based capitalism and focused less on India and its problems—a technological Indian created at the expense of a technological India.
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.
This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
King, Governance, and Law in Ancient India presents an English translation of Kautilya's Arthashastra (AS.) along with detailed endnotes. When it was discovered in 1923, the Arthashastra was described as perhaps the most precious work in the whole range of Sanskrit literature, an assessment that still rings true. This new translation of this significant text, the first in close to half a century takes into account a number of important advances in our knowledge of the texts, inscriptions, and archeological and art historical remains from the period in Indian history to which the AS. belongs (2nd-3rd century CE, although parts of it may be much older). The text is what we would today call a scientific treatise. It codifies a body of knowledge handed down in expert traditions. It is specifically interested in two things: first, how a king can expand his territory, keep enemies at bay, enhance his external power, and amass riches; second, how a king can best organize his state bureaucracy to consolidate his internal power, to suppress internal enemies, to expand the economy, to enhance his treasury through taxes, duties, and entrepreneurial activities, to keep law and order, and to settle disputes among his subjects. The book is accordingly divided into two sections: the first encompassing Books 1-5 deals with internal matters, and the second spanning Books 6-14 deals with external relations and warfare. The AS. stands alone: there is nothing like it before it and there is nothing after it-if there were other textual productions within that genre they are now irretrievably lost. Even though we know of many authors who preceded Kautilya, none of their works have survived the success of the AS. Being "textually" unique makes it difficult to understand and interpret difficult passages and terms; we cannot look to parallels for help. The AS. is also unique in that, first, it covers such a vast variety of topics and, second, it presents in textual form expert traditions in numerous areas of human and social endeavors that were handed down orally. Expert knowledge in diverse fields communicated orally from teacher to pupil, from father to son, is here for the first time codified in text. These fields include: building practices of houses, forts, and cities; gems and gemology; metals and metallurgy; mining, forestry and forest management; agriculture; manufacture of liquor; animal husbandry, shipping, and the management of horses and elephants- and so on. Finally, it is also unique in presenting a viewpoint distinctly different from the Brahmanical "party line" we see in most ancient Indian documents.
