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The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique Vedi (fire-altar) shapes were associated with unique gifts from the Gods. For instance, "he who desires heaven is to construct a ...
The sutras and sub-sutras are abstract literary expressions (for example, "as much less" or "one less than previous one") prone to creative interpretations; Krishna Tirtha exploited this to the extent of manipulating the same shloka to generate widely different mathematical equivalencies across a multitude of contexts. [3]
The Baudhāyana sūtras (Sanskrit: बौधायन सूत्रस्) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived into the modern age from the 1st-millennium BCE.
Līlāvatī of Bhāskarācārya: a treatise of mathematics of Vedic tradition : with rationale in terms of modern mathematics largely based on N.H. Phadke's Marāthī translation of Līlāvatī; Bhaskaracharya's work 'Lilavati' was translated into Persian(फारसी) by-( Abul Faizi-in 1587 ).
The Apastamba Dharmasutra is the 28th and 29th prashna of this compilation, [16] while the first 24 prashnas are about Shrautasutras (vedic rituals), 25th is an ancillary mantra section, 26th and 27th are Grihyasutras (householder rites of passage), and the last or the 30th prashna is a Shulbasutra (mathematics for altar building).
Unlike Vedic mathematics, their works included both astronomical and mathematical contributions. In fact, mathematics of that period was included in the 'astral science' (jyotiḥśāstra) and consisted of three sub-disciplines: mathematical sciences (gaṇita or tantra), horoscope astrology (horā or jātaka) and divination (saṃhitā). [53]
Bharatikrishna's book, Vedic Mathematics, is a list of sixteen terse sūtras, or "aphorisms", discussing strategies for mental calculation. Bharatikrishna claimed that he found the sūtras after years of studying the Vedas , a set of sacred ancient Hindu scriptures.
Yoga Sutra (योग सूत्र): One of the six darshanas of Hindu or Vedic schools and, alongside the Bhagavad Gita and Hatha Yoga Pradipika, are a milestone in the history of Yoga, compiled sometime between 500 BCE and 400 CE by the sage Patanjali; Yoga Vasistha, the discourse of sage Vasistha to prince Rama.