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Sulbasutras
The ''Shulva Sutras'' or ''Śulbasūtras'' (Sanskrit: शुल्बसूत्र; ': "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction. Purpose and origins 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 fire-altar in the form of a falcon"; "a fire-altar in the form of a tortoise is to be constructed by one desiring to win the world of Brahman" and "those who wish to destroy existing and future enemies should construct a fire-altar in the form of a rhombus"., p. 387, "Certain shapes and sizes of fire-altars were associated with particular gifts that the sacrificer desired from the gods: 'he who desire ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Manava
Manava (c. 750 BC – 690 BC) is an author of the Hindu geometric text of ''Sulba Sutras.'' The Manava Sulbasutra is not the oldest (the one by Baudhayana is older), nor is it one of the most important, there being at least three Sulbasutras which are considered more important. Historians place his lifetime at around 750 BC. Manava would have not have been a mathematician in the sense that we would understand it today. Nor was he a scribe who simply copied manuscripts like Ahmes. He would certainly have been a man of very considerable learning but probably not interested in mathematics for its own sake, merely interested in using it for religious purposes. Undoubtedly he wrote the ''Sulbasutra'' to provide rules for religious rites and it would appear almost a certainty that Manava himself would be a Hindu Hindus (; ; also known as Sanātanīs) are people who religiously adhere to Hinduism, also known by its endonym Sanātana Dharma. Jeffery D. Long (2007), A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Vedi (altar)
''Vedi'' () is the sacrificial altar in the historical Vedic religion, Vedic religion. Such altars were an elevated outdoor enclosure, generally strewed with Kusha grass, and having receptacles for the sacrificial fire; it was of various shapes, but usually narrow in the middle. They were used in various types of Yajna rituals, of which the lengthiest was the ''agnicayana'', lasting twelve days. In Vedic times, offerings, often including animals, were burnt in the fire, and fully consumed by it. This contrasts with modern Hindu offerings to gods, which are all vegetable, and are preserved to be consumed by the devotees (which was also the case in other religions, such as ancient Greek religion). Fire altars remain part of the rituals in some Hindu festivals and rites of passage; in particular circling around a sacred fire (''saptapadi'') remains an essential part of Hindu weddings. Although Agni, the Vedic god of fire, has an important place in the mandala setting out the pla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Baudhayana
The (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. They belong to the ''Taittiriya'' branch of the Krishna Yajurveda school and are among the earliest texts of the genre.. In relative chronology, they predate Apastamba, Āpastamba, which is dated by Robert Lingat to the ''sutra'' period proper, between c. 500 to 200 BCE. Robert Lingat, The Classical Law of India, (Munshiram Manoharlal Publishers Pvt Ltd, 1993), p. 20 The Baudhayana sūtras consist of six texts: # the Baudhayana Shrauta Sutra, , probably in 19 (questions), # the in 20 (chapters), # the in 4 , # the Grhyasutra, Grihyasutra in 4 , # the Dharmasutra, in 4 and # the Sulba Sutras, in 3 . The ' is noted for containing several early mathematical results, including an approximation of the squ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Indian Mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava of Sangamagrama, Madhava. The Decimal, decimal number system in use today: "The measure of the genius of Indian civilisation, to which we owe our modern (number) system, is all the greater in that it was the only one in all history to have achieved this triumph. Some cultures succeeded, earlier than the Indian, in discovering one or at best two of the characteristics of this intellectual feat. But none of them managed to bring together into a complete and coherent system the necessary and sufficient conditions for a number-system with the same potential as our own." was first recorded in Indian mathematics. Indian mathematicians made early contributions to the study of the concept of 0 (number), ze ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Apastamba
''Āpastamba Dharmasūtra'' (Sanskrit: आपस्तम्ब धर्मसूत्र) is a Sanskrit text and one of the oldest Dharma-post vedic smriti related texts of Hinduism that have survived into the modern age from the 1st millennium BCE. It is one of three extant Dharmasutras texts from the Taittiriya school which is relatively newer in comparison to Maitrayaniya shakha of Krishna Yajurveda, the other two being ''Baudhayana Dharmasutra'' and ''Hiranyakesin Dharmasutra''. The ''Apastamba Dharmasutra'' is part of ''Apastamba Kalpasutra'' collection, along with ''Apastamba Shrautasutra'' and ''Apastamba Grihyasutra''. One of the best preserved ancient texts on Dharma, it is also notable for mentioning and citing views of ten ancient experts on Dharma, which has led scholars to conclude that there existed a rich genre of Dharmasutras text in ancient India before this text was composed. Authorship, location and dates The Dharmasutra is attributed to Apastamba, the fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Radha Charan Gupta
Radha Charan Gupta (14 August 1935 – 5 September 2024) was an Indian historian of mathematics, specialising in the history of Indian mathematics. Life and career Gupta was born on 14 August 1935 in Jhansi, in what is now Uttar Pradesh. He attended secondary school in Jhansi, but there were few opportunities locally to pursue higher education, so he continued his education at the University of Lucknow with a merit scholarship. He married Savitri Devi in 1953, urged by his family to marry young so the dowry received could help pay his sister's dowry. He completed his bachelor's degree in 1955 and his master's degree in 1957. To support his family, Gupta took a teaching job instead of immediately continuing doctoral studies. He was a lecturer at Lucknow Christian College from 1957 to 1958. In 1958 he joined Birla Institute of Technology (BIT) in Ranchi. In 1963 he read Datta and Singh's '' History of Hindu Mathematics'', became interested in the history of mathematics, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Bartel Leendert Van Der Waerden
Bartel Leendert van der Waerden (; 2 February 1903 – 12 January 1996) was a Dutch mathematician and historian of mathematics. Biography Education and early career Van der Waerden learned advanced mathematics at the University of Amsterdam and the University of Göttingen, from 1919 until 1926. He was much influenced by Emmy Noether at Göttingen, Germany. Amsterdam awarded him a Ph.D. for a thesis on algebraic geometry, supervised by Hendrick de Vries. Göttingen awarded him the habilitation in 1928. In that year, at the age of 25, he accepted a professorship at the University of Groningen. At 27, Van der Waerden published his '' Moderne Algebra'', an influential two-volume treatise on abstract algebra, still cited, and perhaps the first treatise to treat the subject as a comprehensive whole. This work systematized an ample body of research by Emmy Noether, David Hilbert, Richard Dedekind, and Emil Artin. In the following year, 1931, he was appointed professor at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Carl Benjamin Boyer
Carl Benjamin Boyer (November 3, 1906 – April 26, 1976) was an American historian of sciences, and especially mathematics. Novelist David Foster Wallace called him the "Gibbon of math history". It has been written that he was one of few historians of mathematics of his time to "keep open links with contemporary history of science." Life and career Boyer was valedictorian of his high school class. He received a B.A. from Columbia College in 1928 and an M.A. in 1929. He received his Ph.D. in Mathematics from Columbia University in 1939. He was a full professor of Mathematics at the City University of New York's Brooklyn College from 1952 until his death, although he had begun tutoring and teaching at Brooklyn College in 1928. Along with Carolyn Eisele of CUNY's Hunter College; C. Doris Hellman of the Pratt Institute, and later CUNY's Queens College; and Lynn Thorndike of Columbia University, Boyer was instrumental in the 1953 founding of the Metropolitan New York Sectio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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First Babylonian Dynasty
The Old Babylonian Empire, or First Babylonian Empire, is dated to , and comes after the end of Sumerian power with the destruction of the Third Dynasty of Ur, and the subsequent Isin-Larsa period. The Chronology of the Ancient Near East, chronology of the first dynasty of Babylonia is debated; there is a Babylonian King List A and also a Babylonian King List B, with generally longer regnal lengths. In this chronology, the regnal years of List A are used due to their wide usage. Hardship of searching for origins of the First Dynasty The origins of the First Babylonian dynasty are hard to pinpoint because Babylon itself yields few archaeological materials intact due to a high water table. The evidence that survived throughout the years includes written records such as royal and votive inscriptions, literary texts, and lists of year-names. The minimal amount of evidence in economic and legal documents makes it difficult to illustrate the economic and social history of the First Ba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Sanskrit
Sanskrit (; stem form ; nominal singular , ,) is a classical language belonging to the Indo-Aryan languages, Indo-Aryan branch of the Indo-European languages. It arose in northwest South Asia after its predecessor languages had Trans-cultural diffusion, diffused there from the northwest in the late Bronze Age#South Asia, Bronze Age. Sanskrit is the sacred language of Hinduism, the language of classical Hindu philosophy, and of historical texts of Buddhism and Jainism. It was a lingua franca, link language in ancient and medieval South Asia, and upon transmission of Hindu and Buddhist culture to Southeast Asia, East Asia and Central Asia in the early medieval era, it became a language of religion and high culture, and of the political elites in some of these regions. As a result, Sanskrit had a lasting effect on the languages of South Asia, Southeast Asia and East Asia, especially in their formal and learned vocabularies. Sanskrit generally connotes several Indo-Aryan languages# ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Satapatha Brahmana
The Shatapatha Brahmana (, , abbreviated to 'SB') is a commentary on the Śukla Yajurveda. It is attributed to the Vedic sage Yajnavalkya. Described as the most complete, systematic, and important of the Brahmanas (commentaries on the Vedas), it contains detailed explanations of Vedic sacrificial rituals, symbolism, and mythology. Particularly in its description of sacrificial rituals (including construction of complex fire-altars). The Shatapatha Brahmana is also considered significant in the development of Vaishnavism as the origin of several Puranic legends and avatars of Vishnu. Notably, all of them (Matsya, Kurma, Varaha, Narasimha, and Vamana) are listed as the first five avatars in the Dashavatara (the ten principal avatars of Vishnu). There are two versions (recensions) available of this text. They are the Madhyandina recension and the Kanva recension. This article focuses exclusively on the Madhyandina version of the Shatapatha Brahmana. Nomenclature The 'Shat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |