Karaṇapaddhati of Putumana Somayājī
暫譯: 普圖瑪那·索馬雅吉的卡拉那帕達提

Pai, Venketeswara, Ramasubramanian, K., Sriram, M. S.

Karaṇapaddhati of Putumana Somayājī
  • 出版商: Springer
  • 出版日期: 2018-12-22
  • 售價: $4,210
  • 貴賓價: 9.5 折 $4,000
  • 語言: 英文
  • 頁數: 450
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9811338965
  • ISBN-13: 9789811338960

    • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

這本書是喀拉拉天文與數學學派的重要著作，可能成書於16世紀。在印度天文傳統中，karaṇa 文本本質上是計算手冊，並且通常展現出高水平的創造力，能夠提出簡化的算法來計算行星的經度及其他相關數量。然而，Karaṇapaddhati 並不是一部 karaṇa 文本。相反地，它討論了 paddhati 或者說是為了在特定時期編寫 karaṇa 文本所需的合適算法的理由。因此，這部作品的對象不是年曆製作者，而是手冊製作者。

Karaṇapaddhati 提出了 vākyā 系統的理論基礎，其中行星的真實經度是通過利用某些輔助概念，如 khaṇḍa、maṇḍala 和 dhruva，以及在某些規律間隔內的真實經度變化的表格值，直接計算出來，這些變化以 vākyas 或助記短語的形式表達。該文本還討論了 vallyupasaṁhāra 的方法，這本質上是一種連分數展開技術，用於獲得行星運動速率及其異常的最佳近似，涉及較小數字的比率。它還提出了一個新的快速收斂級數來計算 π，這在喀拉拉學派的早期作品中並未提及。由於這是一部獨特的文本，呈現了 vākyā 系統背後的理由以及在 karaṇa 文本中使用的計算程序，因此對於所有對天文歷史感興趣的人來說，這將是一個有用的伴侶。作者提供了該文本的翻譯，並附上詳細的註釋，解釋所有計算程序及其理由，並通過圖表和方程式進行說明。

作者簡介

VENKETESWARA PAI is assistant professor at the Department of Humanities, Indian Institute of Science Education and Research (IISER), Pune. He worked on Karaṇapaddhati to obtain his PhD from the Indian Institute of Technology (IIT) Bombay in 2011. Subsequently, he was a faculty member at the SASTRA University, Thanjavur, Tamil Nadu, India, before joining IISER, Pune. His research interests include Indian astronomy and mathematics. He is a recipient of the Young Historian of Science Award of the Indian National Science Academy (INSA) in 2014. He is also a member of the Indian National Young Academy of Science (INYAS).
K. RAMASUBRAMANIAN is professor at the Cell for Science and Technology in Sanskrit, Indian Institute of Technology (IIT) Bombay. He worked on nonlinear dynamics to obtain his PhD from the University of Madras in 2001. He has been working in the area of Indian astronomy and mathematics for more than 25 years and is also a scholar in Advaita-Vedānta. He was awarded the Mahaṛṣi Bādarāyaṇa Vyas Samman by the President of India in 2008.
M.S. SRIRAM worked on field theory and obtained his PhD in physics in 1978 at Indian Institute of Technology (IIT) Kanpur. He was a faculty member at the Allahabad University for five years. Subsequently, he joined the Department of Theoretical Physics, University of Madras, and retired as the head of the department in 2011. He has worked in the areas of high energy physics and nonlinear dynamics. He has been engaged in research in Indian astronomy and mathematics for over 25 years. Presently he is associated with Prof. K.V. Sarma Research Foundation, Chennai.
M.D. SRINIVAS did his PhD in the theoretical physics at the University of Rochester, U.S.A. He was a faculty member at the Department of Theoretical Physics, University of Madras, for two decades and worked on the conceptual and mathematical foundations of quantum mechanics. He has been associated with the Centre for Policy Studies, Chennai, for over two decades and has been working on various aspects of Indian sciences, society and polity.

作者簡介(中文翻譯)

VENKETESWARA PAI 是印度科學教育與研究所（IISER）浦那人文學系的助理教授。他於2011年在印度理工學院（IIT）孟買獲得博士學位，研究主題為《Karaṇapaddhati》。隨後，他在印度泰米爾納德邦的坦賈武爾SASTRA大學擔任教職，之後加入IISER浦那。他的研究興趣包括印度天文學和數學。他於2014年獲得印度國家科學院（INSA）頒發的青年科學史學家獎。他也是印度國家青年科學院（INYAS）的成員。

K. RAMASUBRAMANIAN 是印度理工學院（IIT）孟買梵文科學與技術中心的教授。他於2001年在馬德拉斯大學獲得非線性動力學的博士學位。他在印度天文學和數學領域工作超過25年，同時也是《Advaita-Vedānta》的學者。他於2008年獲得印度總統頒發的《Mahaṛṣi Bādarāyaṇa Vyas Samman》獎。

M.S. SRIRAM 研究場論，並於1978年在印度理工學院（IIT）坎普爾獲得物理學博士學位。他在阿拉哈巴德大學任教五年。隨後，他加入馬德拉斯大學理論物理系，並於2011年退休，擔任該系主任。他在高能物理和非線性動力學領域工作，並從事印度天文學和數學的研究超過25年。目前，他與喀拉拉邦的K.V. Sarma研究基金會有關聯。

M.D. SRINIVAS 在美國羅徹斯特大學獲得理論物理博士學位。他在馬德拉斯大學理論物理系任教二十年，研究量子力學的概念和數學基礎。他與喀拉拉邦的政策研究中心合作超過二十年，並在印度科學、社會和政治的各個方面進行研究。

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