Geometry In Ancient And Medieval India
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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 Geometry 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.
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.
Contributions To The History Of Indian Mathematics
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Author : Gerard G. Emch
language : en
Publisher: Springer
Release Date : 2005-10-15
Contributions To The History Of Indian Mathematics written by Gerard G. Emch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-15 with Mathematics categories.
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.
Mathematics In Ancient And Medieval India
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Author : A. K. Bag
language : en
Publisher:
Release Date : 1979
Mathematics In Ancient And Medieval India written by A. K. Bag and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Ga It Nanda
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Author : K. Ramasubramanian
language : en
Publisher: Springer Nature
Release Date : 2019-11-08
Ga It Nanda written by K. Ramasubramanian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Mathematics categories.
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.
The Mathematics Of India
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Author : P. P. Divakaran
language : en
Publisher: Springer
Release Date : 2018-09-19
The Mathematics Of India written by P. P. Divakaran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Mathematics categories.
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.
The Origin Of Geometry In India
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Author : Ramkrishna Bhattacharya
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-06
The Origin Of Geometry In India written by Ramkrishna Bhattacharya and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06 with categories.
This book is the first complete study of the origin of geometry in India. In Ancient India, brick-built fire-altars (citi-s) were ordained for the Soma sacrifice, a Vedic rite, which led to the compilation of rule-books for making and arranging bricks. These volumes, called ÅsulbasÅ«tra-s, represent the first available texts of both geometry and mensuration, and were composed from 600 BCE, although the actual practice goes back to c. 1500 BCE. This book begins by detailing the history of geometry in Egypt, Mesopotamia, and Greece, and shows that geometry everywhere starts with brick-built structures, rather than the measurement of land. It emphasizes that geometry in India, unlike in Greece, was side-based rather than angle-based. The text is profusely illustrated.
The Medieval Military Engineer
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Author : Peter Fraser Purton
language : en
Publisher: Boydell & Brewer
Release Date : 2018
The Medieval Military Engineer written by Peter Fraser Purton and has been published by Boydell & Brewer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with HISTORY categories.
Sheds light on the skills and techniques of the medieval military engineer, over a thousand year sweep.
A Companion To Sanskrit Literature
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Author : Sures Chandra Banerji
language : en
Publisher: Motilal Banarsidass Publ.
Release Date : 1989
A Companion To Sanskrit Literature written by Sures Chandra Banerji 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 1989 with Sanskrit literature categories.
In course of his studies in Sanskrit literature and research relating to various aspects of it, the author of the present work often felt the need of a vade mecum containing brief accounts of authors and works, information about the principal characters of Sanskrit plays, poems and prose works, the meaning of certain technical terms in common use, the common geographical names and the notable myths and legends. A Companion to Sanskrit Literature, the first work of its kind, covers a period of nearly 3500 years from the Vedic age down to the modern times. It seeks to acquaint the reader, within a brief compass, with the contents of outstanding works and authors in Sanskrit literature, followed by up-to-date bibliographies. Brief accounts of the important character in well-known poems, dramas and prose works have also been given. Important geographical names, with their modern identification as far as practicable, have also been laid down. Common technical terms, used in the different branches of Sanskrit literature, have been briefly explained, Prominent figures in myths and legends have been dealt with. In a number of appendices, various kinds of useful information about Sanskrit literature including sciences, sports and pastimes, etc. in ancient and medieval India have been set forth. It is an indispensable vade mecum for the general readers, the specialists and researchers. It is like a capsule taking the reader through the vast firmament of Sanskrit literature up to remote ages. -- Amazon.com.
5000 Years Of Geometry
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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22
5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)