Studies In Indian Mathematics And Astronomy

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Studies in Indian Mathematics and Astronomy

Author : Aditya Kolachana
Publisher : Springer
ISBN 13 : 9811373264
Total Pages : 742 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Studies in Indian Mathematics and Astronomy by : Aditya Kolachana

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 742 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 Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof.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.

Studies in the History of Indian Mathematics

Author : C. S. Seshadri
Publisher : Springer
ISBN 13 : 9386279495
Total Pages : 395 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Studies in the History of Indian Mathematics by : C. S. Seshadri

Download or read book Studies in the History of Indian Mathematics written by C. S. Seshadri and published by Springer. This book was released on 2010-08-15 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Influence of Indian Mathematics and Astronomy in Iran

Author : Mohammad Bagheri
Publisher :
ISBN 13 : 9788187663164
Total Pages : 16 pages
Book Rating : 4.6/5 (631 download)

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Book Synopsis The Influence of Indian Mathematics and Astronomy in Iran by : Mohammad Bagheri

Download or read book The Influence of Indian Mathematics and Astronomy in Iran written by Mohammad Bagheri and published by . This book was released on 2001 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Indian Mathematics and Astronomy

Author : S. Balachandra Rao
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Indian Mathematics and Astronomy by : S. Balachandra Rao

Download or read book Indian Mathematics and Astronomy written by S. Balachandra Rao and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Indian Mathematics

Author : George Gheverghese Joseph
Publisher : World Scientific
ISBN 13 : 1786340631
Total Pages : 512 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Indian Mathematics by : George Gheverghese Joseph

Download or read book Indian Mathematics written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics in India

Author : Kim Plofker
Publisher : Princeton University Press
ISBN 13 : 9780691120676
Total Pages : 386 pages
Book Rating : 4.1/5 (26 download)

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Book Synopsis Mathematics in India by : Kim Plofker

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).

Classical Indian Mathematics and Astronomy

Author : Balachandra Rao S
Publisher :
ISBN 13 : 9781943441051
Total Pages : pages
Book Rating : 4.4/5 (41 download)

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Book Synopsis Classical Indian Mathematics and Astronomy by : Balachandra Rao S

Download or read book Classical Indian Mathematics and Astronomy written by Balachandra Rao S and published by . This book was released on 2021-10-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Author : K. Ramasubramanian
Publisher : Springer
ISBN 13 : 9386279363
Total Pages : 523 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 523 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leonhard Euler

Author : Robert E. Bradley
Publisher : Elsevier
ISBN 13 : 9780080471297
Total Pages : 542 pages
Book Rating : 4.4/5 (712 download)

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Book Synopsis Leonhard Euler by : Robert E. Bradley

Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Expounding the Mathematical Seed. Vol. 2: The Supplements

Author : Agathe Keller
Publisher : Springer Science & Business Media
ISBN 13 : 3764375930
Total Pages : 242 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Expounding the Mathematical Seed. Vol. 2: The Supplements by : Agathe Keller

Download or read book Expounding the Mathematical Seed. Vol. 2: The Supplements written by Agathe Keller and published by Springer Science & Business Media. This book was released on 2007-08-02 with total page 242 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. Volume 1 of this work was an English translation of Bhaskara’s commentary, and this volume contains explanations for each verse commentary translated in volume 1.

Mathematics, Astronomy, and Biology in Indian Tradition

Author : Debi Prasad Chattopadhyaya
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics, Astronomy, and Biology in Indian Tradition by : Debi Prasad Chattopadhyaya

Download or read book Mathematics, Astronomy, and Biology in Indian Tradition written by Debi Prasad Chattopadhyaya and published by . This book was released on 1995 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is A Critical Exercise In Rediscovering, Recapturing And Reinterpreting The Heritage Of India From A Contemporary Point Of View. This Monograph Is A Collection Of Five Research Papers By Eminent Scholars In The Fields Of Philosophy, Science, History And Culture And The Like Any Other Truly Historical Project It Has An Any Other Truly Historical Project It Has An Implict Futural Orientation.

Contributions to the History of Indian Mathematics

Author : Gerard G. Emch
Publisher : Springer
ISBN 13 : 9386279258
Total Pages : 293 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Contributions to the History of Indian Mathematics by : Gerard G. Emch

Download or read book Contributions to the History of Indian Mathematics written by Gerard G. Emch and published by Springer. This book was released on 2005-10-15 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of India

Author : P. P. Divakaran
Publisher : Springer
ISBN 13 : 9811317747
Total Pages : 441 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis The Mathematics of India by : P. P. Divakaran

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.

The Aryabhatiya of Aryabhata

Author : Walter Eugene Clark
Publisher :
ISBN 13 : 9781494010546
Total Pages : 120 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis The Aryabhatiya of Aryabhata by : Walter Eugene Clark

Download or read book The Aryabhatiya of Aryabhata written by Walter Eugene Clark and published by . This book was released on 2013-10 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new release of the original 1930 edition.

Mathematical Achievements of Pre-modern Indian Mathematicians

Author : T.K Puttaswamy
Publisher : Newnes
ISBN 13 : 0123979382
Total Pages : 768 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Mathematical Achievements of Pre-modern Indian Mathematicians by : T.K Puttaswamy

Download or read book Mathematical Achievements of Pre-modern Indian Mathematicians written by T.K Puttaswamy and published by Newnes. This book was released on 2012-10-22 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Gaṇitānanda

Author : K. Ramasubramanian
Publisher : Springer Nature
ISBN 13 : 981131229X
Total Pages : 639 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Gaṇitānanda by : K. Ramasubramanian

Download or read book Gaṇitānanda written by K. Ramasubramanian and published by Springer Nature. This book was released on 2019-11-08 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Proceedings of the International Seminar and Colloquium on 1500 Years of Āryabhateeyam

Author :
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the International Seminar and Colloquium on 1500 Years of Āryabhateeyam by :

Download or read book Proceedings of the International Seminar and Colloquium on 1500 Years of Āryabhateeyam written by and published by . This book was released on 2002 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the International Seminar and Colloquium on 1500 Years of Āryabhaṭīya, an early Hindu astronomical treatise by Āryabhaṭa, b. 476.