Indian Astronomy And Mathematics

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Studies in Indian Mathematics and Astronomy

Author : Aditya Kolachana
Publisher : Springer
ISBN 13 : 9811373264
Total Pages : 754 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Studies in Indian Mathematics and Astronomy by : Aditya Kolachana

Download or read book Studies in Indian Mathematics and Astronomy written by Aditya Kolachana and published by Springer. This book was released on 2019-05-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.

The Aryabhatiya of Aryabhata

Author : Walter Eugene Clark
Publisher :
ISBN 13 : 9781494010546
Total Pages : 120 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis The Aryabhatiya of Aryabhata by : Walter Eugene Clark

Download or read book The Aryabhatiya of Aryabhata written by Walter Eugene Clark and published by . This book was released on 2013-10 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new release of the original 1930 edition.

Mathematics in India

Author : Kim Plofker
Publisher : Princeton University Press
ISBN 13 : 9780691120676
Total Pages : 386 pages
Book Rating : 4.1/5 (26 download)

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Book Synopsis Mathematics in India by : Kim Plofker

Download or read book Mathematics in India written by Kim Plofker and published by Princeton University Press. This book was released on 2009-01-18 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

History of Indian Astronomy: The Siamese Manuscript

Author : Anil Narayanan
Publisher : Lulu.com
ISBN 13 : 1483496325
Total Pages : 470 pages
Book Rating : 4.4/5 (834 download)

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Book Synopsis History of Indian Astronomy: The Siamese Manuscript by : Anil Narayanan

Download or read book History of Indian Astronomy: The Siamese Manuscript written by Anil Narayanan and published by Lulu.com. This book was released on 2019-03-08 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Siamese Manuscript holds the distinction of being the very first document relating to Indian Astronomy to reach Europe in a pristine form. Some fragments of Indian Astronomy had undoubtedly reached Europe in earlier times, but those tidbits were likely received in a highly altered form due to difficulties in translation, and the so-called cultural barrier. The Siamese Manuscript helped overcome this barrier by being a compendium of Indian astronomical knowledge in plain Siamese. The timing of the arrival of the manuscript in Europe was significant. After a couple hundred years the Renaissance was finally bearing fruit, and European intellectual prowess was at a peak. The deeper principles of Indian Astronomy, which had gone over the heads of the Greeks and the Arabs who first encountered them, could now be fully understood and appreciated for the first time by people outside India.

The Mathematics of India

Author : P. P. Divakaran
Publisher : Springer
ISBN 13 : 9811317747
Total Pages : 441 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis The Mathematics of India by : P. P. Divakaran

Download or read book The Mathematics of India written by P. P. Divakaran and published by Springer. This book was released on 2018-09-19 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.

Indian Astronomy

Author : S. Balachandra Rao
Publisher : Universities Press
ISBN 13 : 9788173712050
Total Pages : 230 pages
Book Rating : 4.7/5 (12 download)

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Book Synopsis Indian Astronomy by : S. Balachandra Rao

Download or read book Indian Astronomy written by S. Balachandra Rao and published by Universities Press. This book was released on 2000 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contributions to the History of Indian Mathematics

Author : Gerard G. Emch
Publisher : Springer
ISBN 13 : 9386279258
Total Pages : 293 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Contributions to the History of Indian Mathematics by : Gerard G. Emch

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.

A Concise History of Science in India

Author : D. M. Bose
Publisher :
ISBN 13 : 9788173716188
Total Pages : 0 pages
Book Rating : 4.7/5 (161 download)

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Book Synopsis A Concise History of Science in India by : D. M. Bose

Download or read book A Concise History of Science in India written by D. M. Bose and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ancient Indian Leaps into Mathematics

Author : B.S. Yadav
Publisher : Springer Science & Business Media
ISBN 13 : 0817646957
Total Pages : 230 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Ancient Indian Leaps into Mathematics by : B.S. Yadav

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.

Studies in the History of Indian Mathematics

Author : C. S. Seshadri
Publisher : Springer
ISBN 13 : 9386279495
Total Pages : 395 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Studies in the History of Indian Mathematics by : C. S. Seshadri

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.

Expounding the Mathematical Seed. Vol. 1: The Translation

Author : Agathe Keller
Publisher : Springer Science & Business Media
ISBN 13 : 3764375922
Total Pages : 224 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Expounding the Mathematical Seed. Vol. 1: The Translation by : Agathe Keller

Download or read book Expounding the Mathematical Seed. Vol. 1: The Translation written by Agathe Keller and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. This volume is a literal English translation of Bhaskara’s commentary complete with an introduction.

Handbook of Archaeoastronomy and Ethnoastronomy

Author : Clive L.N. Ruggles
Publisher : Springer
ISBN 13 : 9781461461401
Total Pages : 0 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Handbook of Archaeoastronomy and Ethnoastronomy by : Clive L.N. Ruggles

Download or read book Handbook of Archaeoastronomy and Ethnoastronomy written by Clive L.N. Ruggles and published by Springer. This book was released on 2014-08-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How human communities interpret what they perceive in the sky is vital in fulfilling humankind’s most basic need to comprehend the universe it inhabits, both from a modern scientific perspective and from countless other cultural standpoints, extending right back to early prehistory. Archaeoastronomy, which is concerned with cultural perceptions and understandings of astronomical phenomena, is a rich cross-disciplinary field. The central aim of “Handbook of Archaeoastronomy” is to provide a reliable source for theory, method, interpretation and best practices that will give a definitive picture of the state of the art research in this field for serious scholars regardless of the discipline(s) in which they are qualified. It will be equally suitable for those already contributing to the field and those interested in entering it. Also included are studies in ethnoastronomy, which is concerned with contemporary practices related to astronomy, particularly among modern indigenous societies. A major part of this MRW is comprised of a set of wide-ranging archaeoastronomical case studies both geographically and through time, stretching right back to Palaeolithic days, and also in terms of the types of human society and nature of their astronomical ideas and practices. However, these are chosen in order to best illuminate broader issues and themes, rather than to attempt, for example, to provide systematic coverage of recent ‘discoveries.’ Thematic articles cover general themes such as cosmologies, calendars, navigation, orientations and alignments, and ancient perceptions of space and time. They also highlight various aspects of the social context of astronomy (its relationship to social power, warfare, etc) and how we interpret astronomical practices within the framework of conceptual approaches. There are also discussions of broad issues such as ethnocentrism, nationalism, and astronomical dating. The “methods and practices” articles cover topics from field methodology and survey procedures to social theory, as well as providing broad definitions and explanations of key concepts. We are also including a number of “disciplinary perspectives” on approaches to archaeoastronomy written by leading figures in the constituent fields. These articles cover material that, generally speaking, would be familiar to graduates in the relevant discipline but, critically, not so to those with different backgrounds.

Gaṇitānanda

Author : K. Ramasubramanian
Publisher : Springer Nature
ISBN 13 : 981131229X
Total Pages : 621 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Gaṇitānanda by : K. Ramasubramanian

Download or read book Gaṇitānanda written by K. Ramasubramanian and published by Springer Nature. This book was released on 2019-11-08 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.

Mathematical Achievements of Pre-modern Indian Mathematicians

Author : T.K Puttaswamy
Publisher : Newnes
ISBN 13 : 0123979382
Total Pages : 768 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Mathematical Achievements of Pre-modern Indian Mathematicians by : T.K Puttaswamy

Download or read book Mathematical Achievements of Pre-modern Indian Mathematicians written by T.K Puttaswamy and published by Newnes. This book was released on 2012-10-22 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. - Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions - Presents the various proofs step by step to help readers understand - Uses modern, current notations and symbols to develop the calculations and proofs

Astronomy in India: A Historical Perspective

Author : Thanu Padmanabhan
Publisher : Springer Science & Business Media
ISBN 13 : 818489998X
Total Pages : 162 pages
Book Rating : 4.1/5 (848 download)

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Book Synopsis Astronomy in India: A Historical Perspective by : Thanu Padmanabhan

Download or read book Astronomy in India: A Historical Perspective written by Thanu Padmanabhan and published by Springer Science & Business Media. This book was released on 2014-08-20 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: India has a strong and ancient tradition of astronomy, which seamlessly merges with the current activities in Astronomy and Astrophysics in the country. While the younger generation of astronomers and students are reasonably familiar with the current facilities and the astronomical research, they might not have an equally good knowledge of the rich history of Indian astronomy. This particular volume, brought out as a part of the Platinum Jubilee Celebrations of Indian National Science Academy, concentrates on selected aspects of historical development of Indian astronomy in the form of six invited chapters. Two of the chapters – by Balachandra Rao and M.S. Sriram – cover ancient astronomy and the development of calculus in the ancient Kerela text Yuktibhasa. The other four chapters by B.V. Sreekantan, Siraj Hasan, Govind Swarup and Jayant Narlikar deal with the contemporary history of Indian astronomy covering space astronomy, optical astronomy, radio astronomy and developments in relativistic astrophysics. These chapters, written by experts in the field, provide an in-depth study of the subject and make this volume quite unique.

A Modern Introduction to Ancient Indian Mathematics

Author : T. S. Bhanu Murthy
Publisher : New Age International
ISBN 13 : 9788122403718
Total Pages : 230 pages
Book Rating : 4.4/5 (37 download)

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Book Synopsis A Modern Introduction to Ancient Indian Mathematics by : T. S. Bhanu Murthy

Download or read book A Modern Introduction to Ancient Indian Mathematics written by T. S. Bhanu Murthy and published by New Age International. This book was released on 1993 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Indian Mathematics: Engaging With The World From Ancient To Modern Times

Author : George Gheverghese Joseph
Publisher : World Scientific
ISBN 13 : 1786340631
Total Pages : 510 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Indian Mathematics: Engaging With The World From Ancient To Modern Times by : George Gheverghese Joseph

Download or read book Indian Mathematics: Engaging With The World From Ancient To Modern Times written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 510 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.