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Vedic Mathematics (book)
''Vedic Mathematics'' is a book written by the Indian monk Bharati Krishna Tirtha, and first published in 1965. It contains a list of mathematical techniques, which were falsely claimed to have been retrieved from the Vedas and containing mathematical knowledge. Krishna Tirtha failed to produce the sources, and scholars unanimously note it to be a mere compendium of tricks for increasing the speed of elementary mathematical calculations sharing no overlap with historical Indian mathematics#Vedic period, mathematical developments during the Vedic period. However, there has been a proliferation of publications in this area and multiple attempts to integrate the subject into mainstream education by right-wing Hindu nationalist governments. Contents The book contains metaphorical aphorisms in the form of sixteen ''sutras'' and thirteen sub-sutras, which Krishna Tirtha states allude to significant mathematical tools.S. G. Dani (December 2006).Myths and reality : On ‘Vedic mathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bharati Krishna Tirtha
Jagadguru Shankaracharya Swami Bharatikrishna Tirtha (International Alphabet of Sanskrit Transliteration, IAST: Jagadguru Śaṅkarācārya Svāmī Bhāratīkṛṣṇa Tīrtha) (1884–1960), born Venkataraman Shastri (IAST: Veṅkatarāmaṇ Śāstrī), was an Indian Hindu monk and Shankaracharya of Govardhana matha, Govardhana Math in Puri in the Indian state of Odisha, from 1925 through 1960. He is particularly known for his book ''Vedic Mathematics (book), Vedic Mathematics'', his being the first Sankaracarya in history to visit Western world, the West, and for his connection with nationalist aspirations. Early life Venkataraman Shastri (IAST: Veṅkatarāmaṇ Śāstrī) was born on 14 March 1884 to a resolute Tamil Brahmin family. His father P. Narasimha Shastri was a tehsildar at Tirunelveli in Madras Presidency, who later became the Deputy Collector of the Presidency. His uncle Chandrasekhar Shastri was the Principal of the Maharaja's college in Vizianagaram, while ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pariśiṣṭa
(Devanagari: परिशिष्ट, "supplement, appendix, remainder") are Sanskrit supplementary texts appended to another fixed, more ancient text – typically the Vedic literature – that aim to "tell what remains to be told". These have style of ''sutras'', but less concise. According to Max Mueller, the parisista of the Vedas, "may be considered the very last outskirts of Vedic literature, but they are Vedic in character, and it would be difficult to account for their origin at any time except the expiring moments of the Vedic age." Within the early Sanskrit texts, 18 ''parisishtas'' are mentioned, but numerous more have survived into the modern era, likely composed later. Parisista exists for each of the four Vedas. However, only the literature associated with the Atharvaveda is extensive and 74 parisishtas are known, some in the form of dialogues. The Vedic parisistas generally present rituals, ceremonies, nature of hymns, and opinions of other scholars about certain ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Geometry
In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineering, and also in aviation, Aerospace engineering, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including Algebraic geometry, algebraic, Differential geometry, differential, Discrete geometry, discrete and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical defin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taylor's Theorem
In calculus, Taylor's theorem gives an approximation of a ''k''-times differentiable function around a given point by a polynomial of degree ''k'', called the ''k''th-order Taylor polynomial. For a smooth function, the Taylor polynomial is the truncation at the order ''k'' of the Taylor series of the function. The first-order Taylor polynomial is the linear approximation of the function, and the second-order Taylor polynomial is often referred to as the quadratic approximation. There are several versions of Taylor's theorem, some giving explicit estimates of the approximation error of the function by its Taylor polynomial. Taylor's theorem is named after the mathematician Brook Taylor, who stated a version of it in 1715, although an earlier version of the result was already mentioned in 1671 by James Gregory. Taylor's theorem is taught in introductory-level calculus courses and is one of the central elementary tools in mathematical analysis. It gives simple arithmetic formula ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Leibniz Rule
In calculus, the general Leibniz rule, named after Gottfried Wilhelm Leibniz, generalizes the product rule (which is also known as "Leibniz's rule"). It states that if f and g are n-times differentiable functions, then the product fg is also n-times differentiable and its nth derivative is given by :(fg)^=\sum_^n f^ g^, where = is the binomial coefficient and f^ denotes the ''j''th derivative of ''f'' (and in particular f^= f). The rule can be proved by using the product rule and mathematical induction. Second derivative If, for example, , the rule gives an expression for the second derivative of a product of two functions: :(fg)''(x)=\sum\limits_^=f''(x)g(x)+2f'(x)g'(x)+f(x)g''(x). More than two factors The formula can be generalized to the product of ''m'' differentiable functions ''f''1,...,''f''''m''. :\left(f_1 f_2 \cdots f_m\right)^=\sum_ \prod_f_^\,, where the sum extends over all ''m''-tuples (''k''1,...,''k''''m'') of non-negative integers with \sum_^m k_t=n, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brahmagupta
Brahmagupta ( – ) was an Indian mathematician and astronomer. He is the author of two early works on mathematics and astronomy: the ''Brāhmasphuṭasiddhānta'' (BSS, "correctly established doctrine of Brahma", dated 628), a theoretical treatise, and the '' Khaṇḍakhādyaka'' ("edible bite", dated 665), a more practical text. Brahmagupta was the first to give rules for computing with ''zero''. The texts composed by Brahmagupta were in elliptic verse in Sanskrit, as was common practice in Indian mathematics. As no proofs are given, it is not known how Brahmagupta's results were derived. In 628 CE, Brahmagupta first described gravity as an attractive force, and used the term "gurutvākarṣaṇam (गुरुत्वाकर्षणम्)" in Sanskrit to describe it. Life and career Brahmagupta was born in 598 CE according to his own statement. He lived in ''Bhillamāla'' in Gurjaradesa (modern Bhinmal in Rajasthan, India) during the reign of the Chavda dynasty ruler, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aryabhata
Aryabhata (ISO: ) or Aryabhata I (476–550 CE) was an Indian mathematician and astronomer of the classical age of Indian mathematics and Indian astronomy. He flourished in the Gupta Era and produced works such as the ''Aryabhatiya'' (which mentions that in 3600 ''Kali Yuga'', 499 CE, he was 23 years old) and the ''Arya-siddhanta.'' Aryabhata created a system of phonemic number notation in which numbers were represented by consonant-vowel monosyllables. Later commentators such as Brahmagupta divide his work into ''Ganita ("Mathematics"), Kalakriya ("Calculations on Time") and Golapada ("Spherical Astronomy")''. His pure mathematics discusses topics such as determination of square and cube roots, geometrical figures with their properties and mensuration, arithmetric progression problems on the shadow of the gnomon, quadratic equations, linear and indeterminate equations. Aryabhata calculated the value of pi (''π)'' to the fourth decimal digit and was likely aware that p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vedic Period
The Vedic period, or the Vedic age (), is the period in the late Bronze Age and early Iron Age of the history of India when the Vedic literature, including the Vedas (ca. 1300–900 BCE), was composed in the northern Indian subcontinent, between the end of the urban Indus Valley civilisation and a second urbanisation, which began in the central Indo-Gangetic Plain BCE. The Vedas are liturgical texts which formed the basis of the influential Brahmanical ideology, which developed in the Kuru Kingdom, a tribal union of several Indo-Aryan tribes. The Vedas contain details of life during this period that have been interpreted to be historical and constitute the primary sources for understanding the period. These documents, alongside the corresponding archaeological record, allow for the evolution of the Indo-Aryan and Vedic culture to be traced and inferred. The Vedas were composed and orally transmitted with precision by speakers of an Old Indo-Aryan language who had migrate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial support of Charles Scribner, as a printing press to serve the Princeton community in 1905. Its distinctive building was constructed in 1911 on William Street in Princeton. Its first book was a new 1912 edition of John Witherspoon's ''Lectures on Moral Philosophy.'' History Princeton University Press was founded in 1905 by a recent Princeton graduate, Whitney Darrow, with financial support from another Princetonian, Charles Scribner II. Darrow and Scribner purchased the equipment and assumed the operations of two already existing local publishers, that of the ''Princeton Alumni Weekly'' and the Princeton Press. The new press printed both local newspapers, university documents, ''The Daily Princetonian'', and later added book publishing to it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jan Hogendijk
Jan Pieter Hogendijk (born 21 July 1955) is a Dutch mathematician and historian of science. Since 2005, he is professor of history of mathematics at the University of Utrecht. Hogendijk became a member of the Royal Netherlands Academy of Arts and Sciences in 2010. Hogendijk has contributed to the study of Greek mathematics and mathematics in medieval Islam; he provides a list of Sources on his website (below). In 2012, he was awarded the inaugural Otto Neugebauer Prize for History of Mathematics, by the European Mathematical Society, "for having illuminated how Greek mathematics was absorbed in the medieval Arabic world, how mathematics developed in medieval Islam, and how it was eventually transmitted to Europe." A bibliography Bibliography (from and ), as a discipline, is traditionally the academic study of books as physical, cultural objects; in this sense, it is also known as bibliology (from ). English author and bibliographer John Carter describes ''bibliography .. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
