Studies in Indian Mathematics and Astronomy Selected Articles of Kri

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 constitu

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Aditya Kolachana K. Mahesh K. Ramasubramanian Editors

Studies in Indian Mathematics and Astronomy Selected Articles of Kripa Shankar Shukla

Sources and Studies in the History of Mathematics and Physical Sciences Series Editors Jed Z. Buchwald, Division of the Humanities and Social Sciences, Caltech, Pasadena, CA, USA Associate Editors A. Jones, Department of Classics, Institute for the Study of the Ancient World, New York, NY, USA J. Lützen, Koebenhavn OE, Denmark J. Renn, Max Planck Institute for the History of Science, Berlin, Germany Advisory Board C. Fraser T. Sauer A. Shapiro

Sources and Studies in the History of Mathematics and Physical Sciences was inaugurated as two series in 1975 with the publication in Studies of Otto Neugebauer’s seminal three-volume History of Ancient Mathematical Astronomy, which remains the central history of the subject. This publication was followed the next year in Sources by Gerald Toomer’s transcription, translation (from the Arabic), and commentary of Diocles on Burning Mirrors. The two series were eventually amalgamated under a single editorial board led originally by Martin Klein (d. 2009) and Gerald Toomer, respectively two of the foremost historians of modern and ancient physical science. The goal of the joint series, as of its two predecessors, is to publish probing histories and thorough editions of technical developments in mathematics and physics, broadly construed. Its scope covers all relevant work from pre-classical antiquity through the last century, ranging from Babylonian mathematics to the scientific correspondence of H. A. Lorentz. Books in this series will interest scholars in the history of mathematics and physics, mathematicians, physicists, engineers, and anyone who seeks to understand the historical underpinnings of the modern physical sciences.

More information about this series at http://www.springer.com/series/4142

Aditya Kolachana K. Mahesh K. Ramasubramanian •



Editors

Studies in Indian Mathematics and Astronomy Selected Articles of Kripa Shankar Shukla

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Editors Aditya Kolachana Indian Institute of Technology Bombay Mumbai, Maharashtra, India K. Ramasubramanian Department of Humanities and Social Sciences Indian Institute of Technology Bombay Mumbai, Maharashtra, India

K. Mahesh Department of Humanities and Social Sciences Indian Institute of Technology Bombay Mumbai, Maharashtra, India

ISSN 2196-8810 ISSN 2196-8829 (electronic) Sources and Studies in the History of Mathematics and Physical Sciences ISBN 978-981-13-7325-1 ISBN 978-981-13-7326-8 (eBook) https://doi.org/10.1007/978-981-13-7326-8 This work is a co-publication with Hindustan Book Agency, New Delhi, licensed for sale in all countries in electronic form, in print form only outside of India. Sold and distributed in print within India by Hindustan Book Agency, P-19 Green Park Extension, New Delhi 110016, India. ISBN: 978-93- 86279-78-1 © Hindustan Book Agency 2019. © Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019 This work is subject to copyright. All