|
Śaṅkaranārāyaṇa
Sankaranarayana (c. 840 – c. 900 AD) was an Indian astronomer-mathematician in the court of Sthanu Ravi Kulasekhara (c. 844 – c. 870 AD) of the early medieval Chera kingdom in Kerala. He is celebrated as the author of ''Laghubhaskariyavivarana'' or ''Laghubhaskariyavyakha'', a detailed commentary on astronomical treatise ''Laghubhaskariya'' by 7th century mathematician Bhaskara I (which in turn was based on the works of the 5th century polymath Aryabhata). Sankaranarayana is known to have established an astronomical observatory at the port of Mahodayapuram, present-day Kodungallur, in central Kerala. ''Laghubhaskariyavivarana'' (Chapter VII) explicitly states that it was composed in Saka Year 791 (corresponding to 869/70 AD). In the second verse of the commentary Sankaranarayana remembers five major predecessors in the field of mathematics (Aryabhata, Varahamihira, Bhaskara I, Govinda and Haridatta), including his possible master Govinda (c. 800 – c. 860 AD). The co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Astronomers And Mathematicians Of The Kerala School
This is a list of astronomers and mathematicians of the Kerala school. The region surrounding the south-west coast of the Indian subcontinent, now politically organised as the Kerala State in India, has a long tradition of studies and investigations in all areas related to the branch of ''śāstra'' known as '' jyotiṣa''. This branch of ''śāstra'', in its broadest sense, incorporates several subdisciplines like mathematics, astronomy, astrology, horary astrology, etc. In Indian traditional ''jyotiṣa'' scholarship, there are no clear cut boundary lines separating these subdisciplines. Hence the list presented below includes all who would be called a '' jyotiṣa''-scholar in the Indian traditional sense. All these persons will be, most likely, well versed in the subdisciplines of mathematics and astronomy as well. The list is an adaptation of the list of mathematicians and astronomers compiled by K. V. Sarma. Sarma has referred to all of them as astronomers. K. V. Sarma ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sthāṇu Ravi Kulaśekhara
Sthanu Ravi Varma ( Early Malayalam and Tamil: Ko Tanu Iravi), known as the Kulasekhara, was the Chera Perumal ruler of Kerala in southern India from 844/45 to ''c.'' 870/71 AD.Noburu Karashima (ed.), A Concise History of South India: Issues and Interpretations'' New Delhi: Oxford University Press, 2014. 146-47.'Changes in Land Relations during the Decline of the Cera State,' In Kesavan Veluthat and Donald R. Davis Jr. (eds), Irreverent History:- Essays for M.G.S. Narayanan'' Primus Books, New Delhi, 2014. 74-75. He is the earliest Chera Perumal ruler known to scholars. Sthanu Ravi famously helped the Chola ruler Aditya I (c. 871–907 AD) to conquer the Kongu country from the Pandyas in c. 885 AD. The famous Quilon Syrian Christian copper plates are dated in the fifth regnal year of king Sthanu Ravi. Two more inscriptions dated in the regnal years of Sthanu Ravi can be found at Irinjalakuda Kudalmanikyam Temple, and at Thiruvatruvay, Thiruvalla.Narayanan, M. G. S. ''Perumāḷs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala
Kerala ( , ) is a States and union territories of India, 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 Kingdom of Cochin, Cochin, Malabar District, Malabar, South Canara, and Travancore. Spread over , Kerala is the 14th List of states and union territories of India by area, smallest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Laccadive Sea, Lakshadweep Sea to the west. With 33 million inhabitants as per the 2011 Census of India, 2011 census, Kerala is the List of states of India by population, 13th-largest Indian state by population. It is divided into 14 List of districts of Kerala, 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 f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indeterminate Equation
In mathematics, particularly in number theory, an indeterminate system has fewer equations than unknowns but an additional a set of constraints on the unknowns, such as restrictions that the values be integers. In modern times indeterminate equations are often called Diophantine equations. Examples Linear indeterminate equations An example linear indeterminate equation arises from imagining two equally rich men, one with 5 rubies, 8 sapphires, 7 pearls and 90 gold coins; the other has 7, 9, 6 and 62 gold coins; find the prices (y, c, n) of the respective gems in gold coins. As they are equally rich: 5y + 8c + 7n + 90 = 7y + 9c + 6n + 62 Bhāskara II gave an general approach to this kind of problem by assigning a fixed integer to one (or N-2 in general) of the unknowns, e.g. n=1, resulting a series of possible solutions like (y, c, n)=(14, 1, 1), (13, 3, 1). For given integers , and , the general linear indeterminant equation is ax + by = n with unknowns and restricted to in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the History of mathematical notation, mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad (region), Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the field of astronomy to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Ancient Egypt, Egypt – ''Plimpton 322'' (Babylonian mathematics, Babylonian – 1900 BC),Friberg, J. (1981). "Methods and traditions of Babylonian mathematics. Plimpton 322, Pythagorean triples, and the Babylonian triangle parameter equations", ''Historia Mathematica'', 8, pp. 277–318. the ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Shaka Era
The Shaka era (IAST: Śaka, Śāka) is a historical Hindu calendar era (year numbering), the epoch (its year zero) of which corresponds to Julian year (calendar), Julian year 78. The era has been widely used in different regions of the Indian subcontinent as well as in Southeast Asia. According to the Government of India, it is referred as the Shalivahana Era (IAST: Śālivāhana). History The origin of the Shaka era is highly controversial. There are two Shaka era systems in scholarly use, one is called ''Old Shaka Era'', whose epoch is uncertain, probably sometime in the 1st millennium BCE because ancient Buddhist and Jaina inscriptions and texts use it, but this is a subject of dispute among scholars. The other is called ''Saka Era of 78 CE'', or simply ''Saka Era'', a system that is common in epigraphic evidence from southern India. A parallel northern India system is the ''Vikrama Era'', which is used by the Vikrami calendar linked to Vikramaditya. The beginning of the S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Malayalam Calendar
The Malayalam Calendar, or the Kollam Era (), is a sidereal solar calendar used in Kerala. The origin of the calendar has been dated to 825 CE, commemorating the establishment of Kollam. There are many theories regarding the origin of the era, but according to recent scholarship, it commemorated the foundation of Kollam by Maruwan Sapir Iso, who was the leader of Persian Christian Settlers and trading guilds like Anjuvannam following the liberation of the Kingdom of Venad from the Chola rule by or with the assistance of the Chera emperor at Kodungallur. The Quilon Syrian copper plates were grants and privileges given to the trading guilds involved in the establishment of Kollam by Sthanu Ravi Varma. Kollam was the capital of Venadu and an important port town of the Chera Kingdom in that period. Kollam Aandu was adapted in the entire Chera Kingdom (the contemporary states of Tamil Nadu, Karnataka, and Kerala), the majority of which is now in Kerala. In Malayalam-sp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shiva
Shiva (; , ), also known as Mahadeva (; , , Help:IPA/Sanskrit, [mɐɦaːd̪eːʋɐh]) and Hara, is one of the Hindu deities, principal deities of Hinduism. He is the God in Hinduism, Supreme Being in Shaivism, one of the major traditions within Hinduism. Shiva is known as ''The Destroyer'' within the Trimurti, the Hinduism, Hindu trinity which also includes Brahma and Vishnu. In the Shaivite tradition, Shiva is the Supreme Lord who creates, protects and transforms the universe. In the goddess-oriented Shaktism, Shakta tradition, the Supreme Goddess (Devi) is regarded as the energy and creative power (Shakti) and the equal complementary partner of Shiva. Shiva is one of the five equivalent deities in Panchayatana puja of the Smarta Tradition, Smarta tradition of Hinduism. Shiva has many aspects, benevolent as well as fearsome. In benevolent aspects, he is depicted as an Omniscience, omniscient yogi who lives an Asceticism#Hinduism, ascetic life on Kailasa as well as a house ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Place-value
Positional notation, also known as place-value notation, positional numeral system, or simply place value, usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred (however, the values may be modified when combined). In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string. The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numeration
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number ''eleven'' in the decimal or base-10 numeral system (today, the most common system globally), the number ''three'' in the binary or base-2 numeral system (used in modern computers), and the number ''two'' in the unary numeral system (used in tallying scores). The number the numeral represents is called its ''value''. Additionally, not all number systems can represent the same set of numbers; for example, Roman, Greek, and Egyptian numerals don't have a representation of the number zero. Ideally, a numeral system will: *Represent a useful set of numbers (e.g. all integers, or rational numbers) *Give every number represented a unique representation (or at leas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
