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Parahita
Parahita is a system of astronomy prevalent in Kerala and Tamil Nadu, India. It was introduced by the Kerala astronomer Haridatta, (c. 683 AD). Nilakantha Somayaji (1444–1544), in his ''Dr̥kkaraṇa'', relates how Parahita was created based on the combined observations of a group of scholars who had gathered for a festival at Tirunavay, Tirunāvāy on the banks of the Bharatappuzha, Bhāratappuzha River. The Sanskrit etymology literally means "for the benefit of the common man", and the intention was to simplify astronomical computations so that everyone could do it. Parahita is a significant step in the simplification of the siddhanta, siddhantic tradition. Of the two texts of the system, ''Grahacāranibandhana'' and ''Mahāmārganibandhana'', only the former is known. The system simplified the computational cycle of the Aryabhatiya by introducing a sub-aeon of 576 years and introduced a zero correction called ''Vāgbhāva'' based on which the system worked accurately ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haridatta
Haridatta (c. 683 CE) was an astronomer-mathematician of Kerala, India, who is believed to be the promulgator of the Parahita system of astronomical computations. This system of computations is widely popular in Kerala and Tamil Nadu. According to legends, Haridatta promulgated the Parahita system on the occasion of the ''Mamankam'' held in the year 683 CE.K. V. Sarma (1997), "Haridatta", Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures, edited by Helaine Selin, Springer, . Mamankam was a 12-yearly festival held in Thirunnavaya on the banks of the Bharathapuzha river. The distinctive contribution of Haridatta, apart from his resolving the Aryabhatiya calculations and using the Katapayadi system of numerals is the corrections he introduced to the values of the mean and true positions, the velocity, etc., of the moon and other planets as obtained from Aryabhata's constants. This correction is called the '' Sakabda-samskara'' since it appli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Drigganita
Drigganita (ದೃಗ್ಗಣಿತ; IAST: dṛggaṇita, from dṛk-gaṇita, "sight-calculation"), also called the Drik system, is a system of astronomical computations followed by several traditional astronomers, astrologers and almanac makers in India. In this system the computations are performed using certain basic constants derived from observations of astronomical phenomena. The almanacs computed using the methods of Drigganita are referred to as Drigganita Panchngas. In Tamil speaking world, they are also known as ''Thiru-ganita Panchangas''. The Drigganita system is in contrast to the method followed by some other almanac makers who use the values given in the ancient astronomical treatise known by the name Surya Siddhanta. The almanacs computed using this treatise are known as ''Sydhantic Panchangas''. They are also known as ''Vakya Panchangas''. In the history of astronomy in India, two different Drigganita systems have been introduced at two different points of time ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala
Kerala ( ; ) is a state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile regions of Cochin, Malabar, South Canara, and Thiruvithamkoor. Spread over , Kerala is the 21st largest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Lakshadweep Sea to the west. With 33 million inhabitants as per the 2011 census, Kerala is the 13th-largest Indian state by population. It is divided into 14 districts with the capital being Thiruvananthapuram. Malayalam is the most widely spoken language and is also the official language of the state. The Chera dynasty was the first prominent kingdom based in Kerala. The Ay kingdom in the deep south and the Ezhimala kingdom in the north formed the other kingdoms in the early years of the Common Era (CE). The region had been a prominent spic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Katapayadi
''Kaṭapayādi'' system (Devanagari: कटपयादि, also known as ''Paralppēru'', Malayalam: :ml:പരല്പ്പേര്, പരല്പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letter (alphabet), letters to number, numerals for easy remembrance of numbers as words or Verse (poetry), verses. Assigning more than one letter to one numeral and nullifying certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered. History The oldest available evidence of the use of ''Kaṭapayādi'' (Sanskrit: कटपयादि) system is from ''Grahacāraṇibandhana'' by Haridatta in 683 Common Era, CE.Sreeramamula Rajeswara Sarma, THE ''KATAPAYADI'' SYSTEM OF NUMERICAL NOTATION AND ITS SPREAD OUTSIDE KERALA, ''Rev. d'Histoire de Mathmatique'' 18 (2012/ref> It has been used in ''Laghu·bhāskarīya·vivaraṇa'' written by ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala School Of Astronomy And Mathematics
The Kerala school of astronomy and mathematics or the Kerala school was a school of Indian mathematics, mathematics and Indian astronomy, astronomy founded by Madhava of Sangamagrama in Kingdom of Tanur, Tirur, Malappuram district, Malappuram, Kerala, India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. The school flourished between the 14th and 16th centuries and the original discoveries of the school seems to have ended with Melpathur Narayana Bhattathiri, Narayana Bhattathiri (1559–1632). In attempting to solve astronomical problems, the Kerala school independently discovered a number of important mathematical concepts. Their most important results—series expansion for trigonometric functions—were described in Sanskrit verse in a book by Neelakanta called ''Tantrasangraha'', and again in a commentary on this work, called ''Tantrasangraha-vakhya'', of unknown author ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Achyuta Pisharati
Achyuta Pisharodi (c. 1550 at Thrikkandiyur (aka Kundapura), Tirur, Kerala, India – 7 July 1621 in Kerala) was a Sanskrit grammarian, astrologer, astronomer and mathematician who studied under Jyeṣṭhadeva and was a member of Madhava of Sangamagrama's Kerala school of astronomy and mathematics. He is remembered mainly for his part in the composition of his student Melpathur Narayana Bhattathiri's devotional poem, ''Narayaneeyam''. Works He discovered the techniques of 'the reduction of the ecliptic'. He authored ''Sphuta-nirnaya'', ''Raasi-gola-sphuta-neeti'' (''raasi'' meaning zodiac, ''gola'' meaning ''sphere'' and ''neeti'' roughly meaning ''rule''), Karanottama (1593) and a four- chapter treatise ''Uparagakriyakrama'' on lunar and solar eclipses. # ''Praveśaka'' #: An introduction to Sanskrit grammar. # ''Karaṇottama'' #: Astronomical work dealing with the computation of the mean and true longitudes of the planets, with eclipses, and with the vyatūpātas of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parameshvara
Vatasseri Parameshvara Nambudiri ( 1380–1460) was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama. He was also an astrologer. Parameshvara was a proponent of observational astronomy in medieval India and he himself had made a series of eclipse observations to verify the accuracy of the computational methods then in use. Based on his eclipse observations, Parameshvara proposed several corrections to the astronomical parameters which had been in use since the times of Aryabhata. The computational scheme based on the revised set of parameters has come to be known as the ''Drgganita'' or Drig system. Parameshvara was also a prolific writer on matters relating to astronomy. At least 25 manuscripts have been identified as being authored by Parameshvara. Biographical details Parameshvara was a Hindu of Bhrgugotra following the Ashvalayanasutra of the Rigveda. Parameshvara's family name (''Illam'') was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala Mathematics
The Kerala school of astronomy and mathematics or the Kerala school was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Tirur, Malappuram, Kerala, India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. The school flourished between the 14th and 16th centuries and the original discoveries of the school seems to have ended with Narayana Bhattathiri (1559–1632). In attempting to solve astronomical problems, the Kerala school independently discovered a number of important mathematical concepts. Their most important results—series expansion for trigonometric functions—were described in Sanskrit verse in a book by Neelakanta called ''Tantrasangraha'', and again in a commentary on this work, called ''Tantrasangraha-vakhya'', of unknown authorship. The theorems were stated without proof, but proofs for the series for sine, cosine, and inverse tange ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aryabhatiya
''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Sanskrit astronomical treatise, is the ''magnum opus'' and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions. Structure and style Aryabhatiya is written in Sanskrit and divided into four sections; it covers a total of 121 verses describing different moralitus via a mnemonic writing style typical for such works in India (see definitions below): 1. Gitikapada (13 verses): large units of time—kalpa, manvantara, and yuga—which present a cosmology different from earlier texts such as Lagadha's Vedanga Jyotisha (ca. 1st century BCE). There is also a table of ine (jya), given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years. 2. Ganitapada (33 verses): covering mensuration (kṣetra vyāvahāra); arithmetic and ... [...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] |
Tamil Nadu
Tamil Nadu (; , TN) is a States and union territories of India, state in southern India. It is the List of states and union territories of India by area, tenth largest Indian state by area and the List of states and union territories of India by population, sixth largest by population. Its capital and largest city is Chennai. Tamil Nadu is the home of the Tamil people, whose Tamil language—one of the longest surviving Classical languages of India, classical languages in the world—is widely spoken in the state and serves as its official language. The state lies in the southernmost part of the Indian peninsula, and is bordered by the Indian union territory of Puducherry (union territory), Puducherry and the states of Kerala, Karnataka, and Andhra Pradesh, as well as an international maritime border with Sri Lanka. It is bounded by the Western Ghats in the west, the Eastern Ghats in the north, the Bay of Bengal in the east, the Gulf of Mannar and Palk Strait to the south-eas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Siddhanta
''Siddhānta'' is a Sanskrit term denoting the established and accepted view of any particular school within Indian philosophy; literally "settled opinion or doctrine, dogma, axiom, received or admitted truth; any fixed or established or canonical text-book on any subject" (from ''siddha'', adj. mfn.- accomplished, fulfilled; that has attained the highest object, thoroughly skilled or versed in). Hindu philosophy This term is an established term within Hindu philosophy which denotes a specific line of development within a Hindu religious or philosophical tradition. The traditional schools of Hindu philosophy have had their ''siddhạntas'' established by their respective founders in the form of ''sūtras'' (aphorisms). The ''sūtras'' are commented by a major philosopher in the respective traditions to elaborate upon the established doctrine by quoting from the ''śāstras'' (scriptures) and using logic and pramāṇas (accepted source of knowledge). For example, in the traditio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
