Studies In The History Of Indian Mathematics
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Studies In The History Of Indian Mathematics
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Author : C. S. Seshadri
language : en
Publisher: Springer
Release Date : 2010-08-15
Studies In The History Of Indian Mathematics written by C. S. Seshadri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-15 with Mathematics categories.
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.
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.
Studies In Indian Mathematics And Astronomy
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Author : Aditya Kolachana
language : en
Publisher: Springer
Release Date : 2019-05-29
Studies In Indian Mathematics And Astronomy written by Aditya Kolachana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-29 with Mathematics categories.
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.
History Of Science History Of Text
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Author : Karine Chemla
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-01
History Of Science History Of Text written by Karine Chemla 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 2005-08-01 with History categories.
two main (interacting) ways. They constitute that with which exploration into problems or questions is carried out. But they also constitute that which is exchanged between scholars or, in other terms, that which is shaped by one (or by some) for use by others. In these various dimensions, texts obviously depend on the means and technologies available for producing, reproducing, using and organizing writings. In this regard, the contribution of a history of text is essential in helping us approach the various historical contexts from which our sources originate. However, there is more to it. While shaping texts as texts, the practitioners of the sciences may create new textual resources that intimately relate to the research carried on. One may think, for instance, of the process of introduction of formulas in mathematical texts. This aspect opens up a wholerangeofextremelyinterestingquestionstowhichwewillreturnatalaterpoint.But practitioners of the sciences also rely on texts produced by themselves or others, which they bring into play in various ways. More generally, they make use of textual resources of every kind that is available to them, reshaping them, restricting, or enlarging them. Among these, one can think of ways of naming, syntax of statements or grammatical analysis, literary techniques, modes of shaping texts or parts of text, genres of text and so on.Inthissense,thepractitionersdependon,anddrawon,the“textualcultures”available to the social and professional groups to which they belong.
Studies In The History Of The Exact Sciences In Honour Of David Pingree
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Author : Jan P. Hogendijk
language : en
Publisher: BRILL
Release Date : 2004-02-01
Studies In The History Of The Exact Sciences In Honour Of David Pingree written by Jan P. Hogendijk and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-01 with Philosophy categories.
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.
Mathematics In Society And History
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Author : Sal P. Restivo
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-11-30
Mathematics In Society And History written by Sal P. Restivo 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 1992-11-30 with Education categories.
This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.
Multicivilizational Exchanges In The Making Of Modern Science
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Author : Arun Bala
language : en
Publisher: Springer Nature
Release Date : 2024-09-09
Multicivilizational Exchanges In The Making Of Modern Science written by Arun Bala and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-09 with Social Science categories.
This book explores how and why exchanges across civilizations have come to enrich science today. The dialogical dimension of the history of science has long been marginalized by an excessive concern on why modern science emerged in Europe, but not in any of the advanced civilizations of the East. This focus upon what has been called Joseph Needham's "Grand Comparative Question" ignores his other project, focused on showing how dialogues between civilizations have nurtured science. Needham's "Grand Dialogical Question" – if we may call it that by parity – has directly or indirectly inspired a vast body of literature showing how interconnections of civilizations over the last three thousand years, and exchanges of cosmological, mathematical, geographical, physical, biological and medical technologies, techniques, practices and knowledge, have been woven together to produce current science. Bringing together scholars whose research range across multiple civilizations and disciplines, this book investigates the scope and limits of Needham's dialogical vision for science.
Encyclopaedia Of The History Of Science Technology And Medicine In Non Western Cultures
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Author : Helaine Selin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12
Encyclopaedia Of The History Of Science Technology And Medicine In Non Western Cultures written by Helaine Selin 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 2008-03-12 with Science categories.
Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.
The Bright Dark Ages
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Author : Arun Bala
language : en
Publisher: BRILL
Release Date : 2016-04-26
The Bright Dark Ages written by Arun Bala and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Science categories.
The European 'dark ages' in the millennium 500 to 1500 CE was a bright age of scientific achievements in China, India and the Middle East. The contributors to this volume address the implications of this seminal era of Asian science for comparative and connective science studies. Although such studies have generally adopted a binary perspective focusing on one or another of the Asian (Chinese, Indian, Islamic) civilizations, this study brings them together into a single volume within a wider Eurasian perspective. Moreover, by drawing together historical, philosophical, and sociological dimensions into one volume it promotes a richer understanding of how Eurasian connections and comparisons in the millennium preceding the modern era can illuminate the birth and growth of modern science. Contributors are Arun Bala, Andrew Brennan, James Robert Brown, George Gheverghese Joseph, Henrik Lagerlund, Norva Y.S. Lo, Roddam Narasimha, Hyunhee Park, Franklin Thomas Perkins, Hans Pols, Kapil Raj, Sundar Sarukkai, Mohd. Hazim Shah, Geir Sigurðsson and Cecilia Wee.
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.