Ancient Indian Leaps Into Mathematics
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Author |
: B.S. Yadav |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 230 |
Release |
: 2011-01-20 |
ISBN-10 |
: 9780817646950 |
ISBN-13 |
: 0817646957 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Ancient Indian Leaps into Mathematics by : B.S. Yadav
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.
Author |
: B.S. Yadav |
Publisher |
: Birkhäuser |
Total Pages |
: 218 |
Release |
: 2010-10-28 |
ISBN-10 |
: 0817646949 |
ISBN-13 |
: 9780817646943 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Ancient Indian Leaps into Mathematics by : B.S. Yadav
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.
Author |
: T. S. Bhanu Murthy |
Publisher |
: New Age International |
Total Pages |
: 230 |
Release |
: 1993 |
ISBN-10 |
: 8122403719 |
ISBN-13 |
: 9788122403718 |
Rating |
: 4/5 (19 Downloads) |
Synopsis A Modern Introduction to Ancient Indian Mathematics by : T. S. Bhanu Murthy
The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.
Author |
: George Gheverghese Joseph |
Publisher |
: World Scientific |
Total Pages |
: 510 |
Release |
: 2016-07-28 |
ISBN-10 |
: 9781786340634 |
ISBN-13 |
: 1786340631 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Indian Mathematics: Engaging With The World From Ancient To Modern Times by : George Gheverghese Joseph
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.
Author |
: C. S. Seshadri |
Publisher |
: Springer |
Total Pages |
: 395 |
Release |
: 2010-08-15 |
ISBN-10 |
: 9789386279491 |
ISBN-13 |
: 9386279495 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Studies in the History of Indian Mathematics by : C. S. Seshadri
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.
Author |
: Arun Kumar Jha |
Publisher |
: Taylor & Francis |
Total Pages |
: 183 |
Release |
: 2023-03-14 |
ISBN-10 |
: 9781000843743 |
ISBN-13 |
: 1000843742 |
Rating |
: 4/5 (43 Downloads) |
Synopsis Aspects of Science and Technology in Ancient India by : Arun Kumar Jha
This book critically examines different aspects of scientific and technological development in Ancient India. It studies the special contribution of the history of science in our scientific understanding and its relationship with the philosophy and sociology of science. The volume: Discusses diverse and wide-ranging themes including Tibetan Buddhist tradition of neuro-biology; Sheds light on the unique developments within iron technology and urbanization in ancient Odisha; Studies the trajectory of proto-historic astronomy in India and the science of monsoon in early India; Evaluates the legacy of Aryabhata based on his major works related to astronomy and mathematics through a multidimensional perspective; Analyses the traditional knowledge of medicine in early India, the golden age of surgery with reference to the ancient Greek and Arabic systems of medicine, and the Buddhist influence on the science of medicine in Tibet. This book will be an essential read for scholars and researchers of ancient history, Indian history, history of science, history of technology, science and technology studies, and South Asian studies.
Author |
: Nachum Dershowitz |
Publisher |
: Cambridge University Press |
Total Pages |
: 114 |
Release |
: 2008 |
ISBN-10 |
: 9780521885409 |
ISBN-13 |
: 052188540X |
Rating |
: 4/5 (09 Downloads) |
Synopsis Calendrical Calculations by : Nachum Dershowitz
Expanded coverage includes generic cyclical calendars, astronomical lunar calendars, and the Korean, Vietnamese, Aztec, and Tibetan calendars.
Author |
: Sahana Singh |
Publisher |
: Notion Press |
Total Pages |
: 88 |
Release |
: 2017-08-03 |
ISBN-10 |
: 9781947586536 |
ISBN-13 |
: 194758653X |
Rating |
: 4/5 (36 Downloads) |
Synopsis The Educational Heritage of Ancient India by : Sahana Singh
Just a thousand years ago, India was dotted with universities across its length and breadth, where international students flocked to gain credentials in advanced education. This illustrated book describes how these multi-disciplinary centers of learning existed in several forms such as forest universities, brick-and-mortar universities and temple universities. It examines the funding for these citadels of learning and their graduation ceremonies. The process by which India’s ancient systems of education helped to fuel a knowledge revolution around the world with its manuscripts, forming the basis for monographs and academic papers, is explained with references. The marauding incursions by Muslim invaders, which disrupted the idyllic world of university learning in India, followed by European colonization, which led to further erosion and degeneration of India’s traditional learning systems, have been taken up in some detail. Readers will get a snapshot view of India's education system down the ages from ancient to modern times.
Author |
: Karine Chemla |
Publisher |
: Springer Nature |
Total Pages |
: 764 |
Release |
: 2023-01-01 |
ISBN-10 |
: 9783030983611 |
ISBN-13 |
: 3030983617 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Cultures of Computation and Quantification in the Ancient World by : Karine Chemla
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.
Author |
: James E. McClellan III |
Publisher |
: Johns Hopkins University Press |
Total Pages |
: 549 |
Release |
: 2015-12-15 |
ISBN-10 |
: 9781421417752 |
ISBN-13 |
: 1421417758 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Science and Technology in World History by : James E. McClellan III
Facts and figures have been thoroughly updated and the work includes a comprehensive Guide to Resources, incorporating the major published literature along with a vetted list of websites and Internet resources for students and lay readers.