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Studies in Indian Mathematics and Astronomy

Selected Articles of Kripa Shankar Shukla

  • Presents a collection of Professor Kripa Shankar Shukla’ papers highlighting the wide range of his scholarship
  • Consists revised articles of the third unpublished part of “History of Hindu Mathematics” by Bibhutibhusan Datta and Avadhesh Narayan Singh
  • Includes some of Professor Shukla’s reviews of works related to Indian mathematics and astronomy authored by various scholars

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Table of contents (41 chapters)

  1. Front Matter

    Pages i-xxii
  2. The Oeuvre of Kripa Shankar Shukla

    1. Front Matter

      Pages 1-1
    2. Reminiscences of Prof. K. S. Shukla

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 3-4
    3. Dr. Kripa Shankar Shukla, veteran historian of Hindu astronomy and mathematics

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 5-12
    4. Obituary: Kripa Shankar Shukla (1918–2007)

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 13-22
    5. Prof. K. S. Shukla’s contribution to the study of the history of Hindu astronomy

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 23-38
  3. Studies in Indian Mathematics: Bhāskara I to Nārāyaṇa Paṇḍita

    1. Front Matter

      Pages 71-71
    2. On Śrīdhara’s rational solution of Nx2 + 1 = y2

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 120-132
    3. Ācārya Jayadeva, the mathematician

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 133-152
    4. Series with fractional number of terms

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 153-159
    5. Hindu methods for finding factors or divisors of a number

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 160-168
    6. Magic squares in Indian mathematics

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 169-186
  4. Revised version of the Manuscript of the Third Volume of Datta and Singh

    1. Front Matter

      Pages 187-187
    2. Hindu geometry

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 189-267
    3. Hindu trigonometry

      • Aditya Kolachana, K. Mahesh, K. Ramasubramanian
      Pages 268-344

About this book

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.

Reviews

“The book is highly recommended not only for those who seek to deepen their understanding of ancient and medieval Indian mathematics and astronomy but also for those who want to have a glimpse of it for their general interest.” (Dipak Jadhav, Mathematical Reviews, May, 2020)

Editors and Affiliations

  • Indian Institute of Technology Bombay, Mumbai, India

    Aditya Kolachana

  • Department of Humanities and Social Sciences, Indian Institute of Technology Bombay, Mumbai, India

    K. Mahesh, K. Ramasubramanian

About the editors

ADITYA KOLACHANA is a post-doctoral researcher at the Indian Institute of Technology Bombay, India, studying various aspects of the history of mathematics and astronomy in India. He obtained his PhD in the history of science from Indian Institute of Technology Bombay, India. He studied at the Indian Institute of Technology Kharagpur and Indian Institute of Management Ahmedabad, India. Earlier, he worked for over four years with Bain & Company, Clinton Foundation, and Procter & Gamble and also briefly taught finance at the Birla Institute of Technology and Science, Pilani, Hyderabad Campus, India.

K. MAHESH is a research scientist at the Cell for the Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences, Indian Institute of Technology Bombay, India. He acquired his PhD degree from Indian Institute of Technology Bombay, India, in 2010, by working on the Indian astronomy (Siddhānta Jyotiṣa). He went to the Centre Nationale de la RechercheScientifique (CNRS), Paris, for doing his post-doctoral research in the history of numerical tables. On returning from Paris, he joined the Samskrit Promotion Foundation, New Delhi, and served there for three years. In 2015, the Indian National Science Academy, New Delhi, bestowed upon him the Young Historian of Science Award.

K. RAMASUBRAMANIAN is a professor at the Cell for the Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences, Indian Institute of Technology Bombay, India. He holds a doctorate degree in theoretical physics, a master’s degree in Sanskrit, and a bachelor’s degree in engineering—a weird but formidable combination of subjects to do multidisciplinary research. He was honoured with the coveted title “Vidvat Pravara” by the Shankaracharya of Sri Sringeri Sharada Peetham, Karnataka, India, for completing a rigorous course in Advaita Vedānta (a 14-semester program), in 2003. He is one of the authors who prepared detailed explanatory notes of the celebrated works Gaṇita-yuktibhāṣā (rationales in mathematical astronomy), Tantrasaṅgraha and Karaṇa-paddhati, which bring out the seminal contributions of the Kerala School of Astronomers and Mathematicians. He was conferred with the prestigious award of the Mahaṛṣi Bādarāyaṇa Vyas Samman by the then President of India, in 2008, and the R.C. Gupta Endowment Lecture Award by the National Academy of Sciences India, in 2010. He is a recipient of several other awards and coveted titles as well. From 2013, he has been serving as an elected council member of the International Union of History and Philosophy of Science and Technology. He is also a member of various other national and international bodies.

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access