Tantrasangraha Of Nilakantha Somayaji

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Tantrasaṅgraha of Nīlakaṇṭha Somayājī

Author : K. Ramasubramanian
Publisher : Springer Science & Business Media
ISBN 13 : 0857290363
Total Pages : 598 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Tantrasaṅgraha of Nīlakaṇṭha Somayājī by : K. Ramasubramanian

Download or read book Tantrasaṅgraha of Nīlakaṇṭha Somayājī written by K. Ramasubramanian and published by Springer Science & Business Media. This book was released on 2011-06-16 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.

500 Years of Tantrasangraha

Author : M. S. Sriram
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.6/5 (322 download)

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Book Synopsis 500 Years of Tantrasangraha by : M. S. Sriram

Download or read book 500 Years of Tantrasangraha written by M. S. Sriram and published by . This book was released on 2002 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Tantrasangraha` By The Renowned Kerala Astronomer Nilakantha Somayaji (C. 1444-1545 Ad) Ranks Along With `Aryabhatiya` Of Aryabhata And Siddhantasiromani (C. 1150 Ad) Of Bhaskaracharya As One Of The Major Works Which Significantly Influenced All Further Work On Astronomy In India.

Expounding the Mathematical Seed. Vol. 1: The Translation

Author : Agathe Keller
Publisher : Springer Science & Business Media
ISBN 13 : 3764375922
Total Pages : 172 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 172 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.

Ganita-Yukti-Bhasa (Rationales Mathematical Astronomy) of Jyesthadeva

Author : K. Ramasubramanian
Publisher : Springer
ISBN 13 : 9386279371
Total Pages : 624 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Ganita-Yukti-Bhasa (Rationales Mathematical Astronomy) of Jyesthadeva by : K. Ramasubramanian

Download or read book Ganita-Yukti-Bhasa (Rationales Mathematical Astronomy) of Jyesthadeva written by K. Ramasubramanian and published by Springer. This book was released on 2009-01-01 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cultural Foundations of Mathematics

Author : C. K. Raju
Publisher : Pearson Education India
ISBN 13 : 9788131708712
Total Pages : 536 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Cultural Foundations of Mathematics by : C. K. Raju

Download or read book Cultural Foundations of Mathematics written by C. K. Raju and published by Pearson Education India. This book was released on 2007 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures

Author : Helaine Selin
Publisher : Springer Science & Business Media
ISBN 13 : 140204559X
Total Pages : 2428 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures by : Helaine Selin

Download or read book Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2008-03-12 with total page 2428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures

Author : Helaine Selin
Publisher : Springer Science & Business Media
ISBN 13 : 9401714169
Total Pages : 1140 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures by : Helaine Selin

Download or read book Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.

The Bright Dark Ages

Author : Arun Bala
Publisher : BRILL
ISBN 13 : 9004264191
Total Pages : 301 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis The Bright Dark Ages by : Arun Bala

Download or read book The Bright Dark Ages written by Arun Bala and published by BRILL. This book was released on 2016-04-26 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The European 'dark ages' in the millennium 500 to 1500 CE was a bright age of brilliant scientific achievements in China, India and the Middle East. The contributors to this volume address its implications for comparative and connective science studies.

Science and Narratives of Nature

Author : Sundar Sarukkai
Publisher : Routledge
ISBN 13 : 1351549855
Total Pages : 350 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Science and Narratives of Nature by : Sundar Sarukkai

Download or read book Science and Narratives of Nature written by Sundar Sarukkai and published by Routledge. This book was released on 2017-07-05 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discourse and practice of science are deeply connected to explicit and implicit narratives of nature. However, nature has been understood in diverse ways by cultures across the world. Could these different views of nature generate the possibility of alternate views on science? Part of the innovative series Science and Technology Studies, this volume looks at different conceptualizations of nature and the manner in which they structure the practice of the sciences. The essays draw upon philosophy, history, sociology, religion, feminism, mathematics and cultural studies, and establish a dialogue between cultures through a multi-disciplinary exploration of science. With contributions from major scholars in the field, this volume will deeply interest scholars and students of science and technology studies; sociology, history and philosophy of science; as also environmental studies.

Series and Products in the Development of Mathematics: Volume 1

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108573185
Total Pages : pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Series and Products in the Development of Mathematics: Volume 1 by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics: Volume 1 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible to even advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 treats more recent work, including deBranges' solution of Bieberbach's conjecture, and requires more advanced mathematical knowledge.

Series and Products in the Development of Mathematics: Volume 2

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108573150
Total Pages : 480 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Series and Products in the Development of Mathematics: Volume 2 by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics: Volume 2 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible even to advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 examines more recent results, including deBranges' resolution of Bieberbach's conjecture and Nevanlinna's theory of meromorphic functions.

Series and Products in the Development of Mathematics

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1108709451
Total Pages : 779 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Series and Products in the Development of Mathematics by : Ranjan Roy

Download or read book Series and Products in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.

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.

Astronomy in India: A Historical Perspective

Author : Thanu Padmanabhan
Publisher : Springer Science & Business Media
ISBN 13 : 818489998X
Total Pages : 152 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 152 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.

History and Theory of Knowledge Production

Author : Rajan Gurukkal
Publisher : Oxford University Press
ISBN 13 : 0199095809
Total Pages : 391 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis History and Theory of Knowledge Production by : Rajan Gurukkal

Download or read book History and Theory of Knowledge Production written by Rajan Gurukkal and published by Oxford University Press. This book was released on 2018-10-16 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who decides what should be recognized as knowledge? What forces engender knowledge? How do certain forms of it acquire precedence over the rest, and why? Exploring these fundamental questions, this book provides an introductory outline of the vast history of knowledge systems under the broad categories of European and non-European, specifically Indian. It not only traces ontology and epistemology in spatio-temporal terms, but also contextualizes methodological development by comparing Indian and European systems of knowledge and their methods of production as well as techniques ensuring reliability. Knowledge cannot have a history of its own, independent of social history. Therefore, using a vast array of sources, including Greek, Prakrit, Chinese, and Arab texts, the book situates the history of knowledge production within the matrix of multiple socio-economic and politico-cultural systems. Further, the volume also analyses the process of the rise of science and new science and reviews speculative thoughts about the dynamics of the subatomic micro-universe as well as the mechanics of the galactic macro-universe.

Sources in the Development of Mathematics

Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1139497758
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Sources in the Development of Mathematics by : Ranjan Roy

Download or read book Sources in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2011-06-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.

Mathematics Education and Philosophy

Author : Paul Ernest
Publisher : Taylor & Francis
ISBN 13 : 1135716269
Total Pages : 274 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Mathematics Education and Philosophy by : Paul Ernest

Download or read book Mathematics Education and Philosophy written by Paul Ernest and published by Taylor & Francis. This book was released on 2003-09-02 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Currently there is a great deal of interest in philosophical issues in the teaching and learning of both mathematics and science education. In this book Ernest has collected together papers from the foremost researchers and practitioners in the philosophy of mathematics education and related areas, together with a selection of papers from the International Congress of Mathematics Education held in Quebec in 1992. Throughout, the outstanding feature of the collection is its multidisciplinary approach to the field of study. This book is the second in Paul Ernest's "Studies in Mathematics Education" series.