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Author : K. Kunjunni Raja
Publisher : Adyar Library
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.3/5 (91 download)
Download or read book Astronomy and Mathematics in Kerala written by K. Kunjunni Raja and published by Adyar Library. This book was released on 1995 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aditya Kolachana
Publisher : Springer
ISBN 13 : 9811373264
Total Pages : 754 pages
Book Rating : 4.8/5 (113 download)
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 Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof.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.
Author : Agathe Keller
Publisher : Springer Science & Business Media
ISBN 13 : 3764375922
Total Pages : 224 pages
Book Rating : 4.7/5 (643 download)
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.
Author : K. Ramasubramanian
Publisher : Springer Science & Business Media
ISBN 13 : 0857290363
Total Pages : 631 pages
Book Rating : 4.8/5 (572 download)
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 631 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.
Author : K. Kunjunni Raja
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (717 download)
Download or read book Astronomy and Mathematics in Kerala written by K. Kunjunni Raja and published by . This book was released on 1995 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Ramasubramanian
Publisher : Springer
ISBN 13 : 9386279363
Total Pages : 523 pages
Book Rating : 4.3/5 (862 download)
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 523 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Kunjunni Raja
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (5 download)
Download or read book Astronomy and Mathematics in Kerala written by K. Kunjunni Raja and published by . This book was released on 196? with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Venkateswara Sarma
Publisher : Hoshiarpur : Vishveshvaranand Institute
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book A History of the Kerala School of Hindu Astronomy (in Perspective) written by K. Venkateswara Sarma and published by Hoshiarpur : Vishveshvaranand Institute. This book was released on 1972 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1139497758
Total Pages : 1139 pages
Book Rating : 4.1/5 (394 download)
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 1139 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.
Author : George Gheverghese Joseph
Publisher : SAGE Publications Pvt. Limited
ISBN 13 : 9788132101680
Total Pages : 0 pages
Book Rating : 4.1/5 (16 download)
Download or read book A Passage to Infinity written by George Gheverghese Joseph and published by SAGE Publications Pvt. Limited. This book was released on 2009-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
Author : Thanu Padmanabhan
Publisher : Springer Science & Business Media
ISBN 13 : 818489998X
Total Pages : 162 pages
Book Rating : 4.1/5 (848 download)
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.
Author : M. S. Sriram
Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.6/5 (322 download)
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.
Author : P. P. Divakaran
Publisher : Springer
ISBN 13 : 9811317747
Total Pages : 441 pages
Book Rating : 4.8/5 (113 download)
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.
Author : Anil Narayanan
Publisher : Lulu.com
ISBN 13 : 1483496325
Total Pages : 470 pages
Book Rating : 4.4/5 (834 download)
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.
Author : Kim Plofker
Publisher : Princeton University Press
ISBN 13 : 9780691120676
Total Pages : 386 pages
Book Rating : 4.1/5 (26 download)
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).
Author : Sally P. Ragep
Publisher : Springer
ISBN 13 : 3319319930
Total Pages : 359 pages
Book Rating : 4.3/5 (193 download)
Download or read book Jaghmīnī’s Mulakhkhaṣ written by Sally P. Ragep and published by Springer. This book was released on 2017-01-20 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the only critical edition and English translation of Maḥmūd al-Jaghmīnī’s al-Mulakhkhaṣ fī al-hayʾa al-basīṭa, the most widely circulated Arabic treatise on Ptolemaic astronomy ever written. Composed in the early 13th century, this introductory textbook played a crucial role in the teaching, dissemination, and institutional instruction of Islamic astronomy well into the 19th century (and beyond). Establishing the base text is a fundamental prerequisite for gaining insights into what was considered an elementary astronomical textbook in Islam and also for understanding the extensive commentary tradition that built upon it. Within this volume, the Mulakhkhaṣ is situated within the broader context of the genre of literature termed ʿilm al-hayʾa, which has become the subject of intensive research over the past 25 years. In so doing, it provides a survey of summary accounts of theoretical astronomy of Jaghmīnī’s predecessors, both Ancient and Islamic, which could have served as potential sources for the Mulakhkhaṣ. Jaghmīnī’s dates (which until now remained unsettled) are established, and it is definitively shown that he composed not only the Mulakhkhaṣ but also other scientific treatises, including the popular medical treatise al-Qānūnča, during a period that has been deemed one of scientific decline and stagnation in Islamic lands. The book will be of particular interest to scholars engaged in the study of Islamic theoretical astronomy, but is accessible to a general readership interested in learning what constituted an introduction to Ptolemaic astronomy in Islamic lands.
Author : Venketeswara Pai
Publisher : Springer
ISBN 13 : 9811068143
Total Pages : 486 pages
Book Rating : 4.8/5 (11 download)
Download or read book Karaṇapaddhati of Putumana Somayājī written by Venketeswara Pai and published by Springer. This book was released on 2018-03-14 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an important text of the Kerala school of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals, and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karaṇapaddhati, however, is not a karaṇa text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karaṇa text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karaṇapaddhati presents the theoretical basis for the vākya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khaṇḍa, maṇḍala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form of vākyas or mnemonic phrases. The text also discusses the method of vallyupasaṃhāra, which is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for π which is not mentioned in the earlier works of the Kerala school. As this is a unique text presenting the rationale behind the vākya system and the computational procedures used in the karaṇa texts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.
