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The first English translation of this major work of classical Indian astronomy and mathematics. A treasure for anyone interested in early modern India and the history of mathematics, this first English translation of the Siddhāntasundara reveals the fascinating work of the scholar-astronomer Jñānarāja (circa 1500 C.E.). Toke Lindegaard Knudsen begins with an introduction to the traditions of ancient Hindu astronomy and describes what is known of Jñānarāja’s life and family. He translates the Sanskrit verses into English and offers expert commentary on the style and substance of Jñānarāja's treatise. The Siddhāntasundara contains a comprehensive exposition of the system of Indian astronomy, including how to compute planetary positions and eclipses. It also explores deep, probing questions about the workings of the universe and sacred Hindu traditions. In a philosophical discussion, the treatise seeks a synthesis between the cosmological model used by the Indian astronomical tradition and the cosmology of a class of texts sacred in Hinduism. In his discourse, which includes a discussion of the direction of down and adhesive antipodeans, Jñānarāja rejects certain principles from the astronomical tradition and reinterprets principles from the sacred texts. He also constructs a complex poem on the seasons, many verses of which have two layers of meaning, one describing a season, the other a god's activities in that season. The Siddhāntasundara is the last major treatise of Indian astronomy and cosmology to receive serious scholarly attention, Knudsen’s careful effort unveils the 500-year-old Sanskrit verses and shows the clever quirkiness of Jñānarāja's writing style, his keen use of mathematics, and his subtle philosophical arguments.
Astronomical and astrological knowledge circulated in many ways in the ancient world: in the form of written texts and through oral communication; by the conscious assimilation of sought-after knowledge and the unconscious absorption of ideas to which scholars were exposed. The Circulation of Astronomical Knowledge in the Ancient World explores the ways in which astronomical knowledge circulated between different communities of scholars over time and space, and what was done with that knowledge when it was received. Examples are discussed from Mesopotamia, Egypt, the Greco-Roman world, India, and China.
The first English translation of this major work of classical Indian astronomy and mathematics. A treasure for anyone interested in early modern India and the history of mathematics, this first English translation of the Siddhantasundara reveals the fascinating work of the scholar-astronomer Jñanaraja (circa 1500 C.E.). Toke Lindegaard Knudsen begins with an introduction to the traditions of ancient Hindu astronomy and describes what is known of Jñanaraja’s life and family. He translates the Sanskrit verses into English and offers expert commentary on the style and substance of Jñanaraja's treatise. The Siddhantasundara contains a comprehensive exposition of the system of Indian astronomy, including how to compute planetary positions and eclipses. It also explores deep, probing questions about the workings of the universe and sacred Hindu traditions. In a philosophical discussion, the treatise seeks a synthesis between the cosmological model used by the Indian astronomical tradition and the cosmology of a class of texts sacred in Hinduism. In his discourse, which includes a discussion of the direction of down and adhesive antipodeans, Jñanaraja rejects certain principles from the astronomical tradition and reinterprets principles from the sacred texts. He also constructs a complex poem on the seasons, many verses of which have two layers of meaning, one describing a season, the other a god's activities in that season. The Siddhantasundara is the last major treatise of Indian astronomy and cosmology to receive serious scholarly attention, Knudsen’s careful effort unveils the 500-year-old Sanskrit verses and shows the clever quirkiness of Jñanaraja's writing style, his keen use of mathematics, and his subtle philosophical arguments.
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
Facts and figures have been thoroughly updated and the work includes a comprehensive Guide to Resources, incorporating the major published literature along with a vetted list of websites and Internet resources for students and lay readers.
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.
The Present Volume Of The Annual Series Of Art And Culture Carrying The Sub-Title 'Painting And Perspective' Relates To The Following Themes: (A) Cultural Set-Up And Values; (B) Sculpture And Painting And (C) Science And Technology. The Articles Of The Volume Are Not Restricted To Any Particular Period Or Geographical Area. Moreover, The Purpose Is To Encourage Scholars To Think And Write In Terms Of Social Mores And Values As Far As Possible.