A Modern Introduction To Ancient Indian Mathematics
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A Modern Introduction To Ancient Indian Mathematics
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Author : T. S. Bhanu Murthy
language : en
Publisher: New Age International
Release Date : 1993
A Modern Introduction To Ancient Indian Mathematics written by T. S. Bhanu Murthy and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Hindu mathematics categories.
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
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Author : George Gheverghese Joseph
language : en
Publisher: World Scientific
Release Date : 2016-07-28
Indian Mathematics Engaging With The World From Ancient To Modern Times written by George Gheverghese Joseph and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-28 with Mathematics categories.
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.
Ancient Indian Leaps Into Mathematics
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Author : B.S. Yadav
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-20
Ancient Indian Leaps Into Mathematics written by B.S. Yadav and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-20 with Mathematics categories.
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.
Mathematical Achievements Of Pre Modern Indian Mathematicians
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Author : T.K Puttaswamy
language : en
Publisher: Newnes
Release Date : 2012-10-22
Mathematical Achievements Of Pre Modern Indian Mathematicians written by T.K Puttaswamy and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-22 with Mathematics categories.
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
Geometry In Ancient And Medieval India
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Author : T. A. Sarasvati Amma
language : en
Publisher: Motilal Banarsidass Publ.
Release Date : 1999
Geometry In Ancient And Medieval India written by T. A. Sarasvati Amma and has been published by Motilal Banarsidass Publ. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with History categories.
This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.
Mathematical Achievements Of Pre Modern Indian Mathematicians
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Author : T.K Puttaswamy
language : en
Publisher: Newnes
Release Date : 2012-08-27
Mathematical Achievements Of Pre Modern Indian Mathematicians written by T.K Puttaswamy and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-27 with History categories.
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
A Two Day National Level Seminar On Indian Knowledge Systems In Mathematics Economics Sanskrit And Library Science
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Author : Dr.B.Amudhambigai
language : en
Publisher: SK Research Group of Companies
Release Date : 2025-02-25
A Two Day National Level Seminar On Indian Knowledge Systems In Mathematics Economics Sanskrit And Library Science written by Dr.B.Amudhambigai and has been published by SK Research Group of Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-25 with categories.
Chief Editor: Dr. D. Amsaveni Associate Professor of Mathematics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India. Editors: Dr.B.Amudhambigai Associate Professor of Mathematics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India. Dr.K.Poongodi Librarian, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India. Dr.Latha Sreedhar Assistant Professor of Sanskrit, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India. Dr.T.Linga Murugeshwari Assistant Professor of Economics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India. Published by: SK Research Group of Companies, Madurai 625003, Tamil Nadu, India. Edition Details (I,II,III etc): I Copyright © SK Research Group of Companies, Madurai 625003, Tamil Nadu, India.
Key To The Vedas
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Author :
language : en
Publisher: Mikhail Mikhailov
Release Date :
Key To The Vedas written by and has been published by Mikhail Mikhailov this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Mathematics In India
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Author : Kim Plofker
language : en
Publisher: Princeton University Press
Release Date : 2008-12-29
Mathematics In India written by Kim Plofker and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
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).
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy – as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today – who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy. Editorial Advisory Board Andrew Aberdein, Florida Institute ofTechnology, USA Jody Azzouni, Tufts University, USA Otávio Bueno, University of Miami, USA William Byers, Concordia University, Canada Carlo Cellucci, Sapienza University of Rome, Italy Chandler Davis, University of Toronto, Canada (1926-2022) Paul Ernest, University of Exeter, UK Michele Friend, George Washington University, USA Reuben Hersh, University of New Mexico, USA (1927-2020) Kyeong-Hwa Lee, Seoul National University, South Korea Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023) Athanase Papadopoulos, University of Strasbourg, France Ulf Persson, Chalmers University of Technology, Sweden John Stillwell, University of San Francisco, USA David Tall, University of Warwick, UK (1941-2024) This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, ofproof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches. Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin. ---Barry Mazur, Gerhard Gade University Professor, Harvard University This encyclopedic Handbook will be a treat for all those interested in the history and philosophy of mathematics. Whether one is interested in individuals (from Pythagoras through Newton and Leibniz to Grothendieck), fields (geometry, algebra, number theory, logic, probability, analysis), viewpoints (from Platonism to Intuitionism), or methods (proof, experiment, computer assistance), the reader will find a multitude of chapters that inform and fascinate. ---John Stillwell, Emeritus Professor of Mathematics, University of San Francisco; Recipient of the 2005 Chauvenet Prize Dedicating a volume to the memory of three mathematicians – Chandler Davis, Reuben Hersh, and Yuri Manin –, who went out of their way to show to a broader audience that mathematics is more than what they might think, is an excellent initiative. Gathering authors coming from many different backgrounds but who are very strict about the essays they write was successfully achieved by the editor-in-chief. The result: a great source of potential inspiration! ---Jean-Pierre Bourguignon; Nicolaas Kuiper Honorary Professor at the Institut des Hautes Études Scientifiques