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Aryabhata
Aryabhata ( ISO: ) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the '' Āryabhaṭīya'' (which mentions that in 3600 '' Kali Yuga'', 499 CE, he was 23 years old) and the ''Arya- siddhanta''. For his explicit mention of the relativity of motion, he also qualifies as a major early physicist. Biography Name While there is a tendency to misspell his name as "Aryabhatta" by analogy with other names having the " bhatta" suffix, his name is properly spelled Aryabhata: every astronomical text spells his name thus, including Brahmagupta's references to him "in more than a hundred places by name". Furthermore, in most instances "Aryabhatta" would not fit the metre either. Time and place of birth Aryabhata mentions in the ''Aryabhatiya'' that he was 23 years old 3,600 years into the '' Kali Yuga'', but this is not to mean that the text was composed at that ti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Āryabhaṭīya
''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Indian astronomy, Sanskrit astronomical treatise, is the ''Masterpiece, magnum opus'' and only known surviving work of the 5th century Indian mathematics, 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 Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions.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): # Gitikapada (13 verses): large units of time—Kalpa (aeon), kalpa, manvantara, and Yuga Cycle, 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 [sine]s (jya), given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years, using the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Astronomy
Astronomy has a long history in the Indian subcontinent, stretching from History of India, pre-historic to History of India (1947–present), modern times. Some of the earliest roots of Indian astronomy can be dated to the period of Indus Valley civilisation or earlier. Astronomy later developed as a discipline of Vedanga, or one of the "auxiliary disciplines" associated with the study of the Vedas dating 1500 BCE or older. The oldest known text is the ''Vedanga Jyotisha'', dated to 1400–1200 BCE (with the extant form possibly from 700 to 600 BCE). Indian astronomy was influenced by Greek astronomy beginning in the 4th century BCEHighlights of Astronomy, Volume 11B: As presented at the XXIIIrd General Assembly of the IAU, 1997. Johannes Andersen Springer, 31 January 1999 – Science – 616 pages. p. 72/ref>Babylon to Voyager and Beyond: A History of Planetary Astronomy. David Leverington. Cambridge University Press, 29 May 2010 – Science – 568 pages. p. 4/ref>Th ... [...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] |
Gupta Empire
The Gupta Empire was an Indian empire during the classical period of the Indian subcontinent which existed from the mid 3rd century to mid 6th century CE. At its zenith, the dynasty ruled over an empire that spanned much of the northern Indian subcontinent. This period has been considered as the Golden Age of India by some historians, although this characterisation has been disputed by others. The ruling dynasty of the empire was founded by Gupta (king), Gupta. The high points of this period are the great cultural developments which took place primarily during the reigns of Samudragupta, Chandragupta II and Kumaragupta I. Many Hinduism, Hindu Hindu epics, epics and Hindu literature, literary sources, such as the Mahabharata and Ramayana, were canonised during this period. The Gupta period produced scholars such as Kalidasa, Aryabhata, Varahamihira and Vatsyayana, who made significant advancements in many academic fields. History of science and technology in the Indian subcontin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Approximations Of π
Approximation#Mathematics, Approximations for the mathematical constant pi () in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century. Further progress was not made until the 14th century, when Madhava of Sangamagrama developed approximations correct to eleven and then thirteen digits. Jamshīd al-Kāshī achieved sixteen digits next. Early modern mathematicians reached an accuracy of 35 digits by the beginning of the 17th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega). The record of manual approximation of is held by William Shanks, who calculated 527 decimals correctly in 1853. Since the middle of the 20th century, the approximation of has been the task of electronic digital computers (for a comprehensive account, see chronology of computation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brahmagupta
Brahmagupta ( – ) was an Indian Indian mathematics, mathematician and Indian astronomy, astronomer. He is the author of two early works on mathematics and astronomy: the ''Brāhmasphuṭasiddhānta'' (BSS, "correctly established Siddhanta, doctrine of Brahma", dated 628), a theoretical treatise, and the ''Khandakhadyaka'' ("edible bite", dated 665), a more practical text. In 628 CE, Brahmagupta first described gravity as an attractive force, and used the term "gurutvākarṣaṇam (गुरुत्वाकर्षणम्)" in Sanskrit to describe it. He is also credited with the first clear description of the quadratic formula (the solution of the quadratic equation)Bradley, Michael. ''The Birth of Mathematics: Ancient Times to 1300'', p. 86 (Infobase Publishing 2006) in his main work, the ''Brāhma-sphuṭa-siddhānta''. Life and career Brahmagupta, according to his own statement, was born in 598 CE. Born in ''Bhillamāla'' in Gurjaradesa (modern Bhinmal in Rajasthan, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Surya Siddhanta
The ''Surya Siddhanta'' (; ) is a Sanskrit treatise in Indian astronomy dated to 4th to 5th century,Menso Folkerts, Craig G. Fraser, Jeremy John Gray, John L. Berggren, Wilbur R. Knorr (2017)Mathematics Encyclopaedia Britannica, Quote: "(...) its Hindu inventors as discoverers of things more ingenious than those of the Greeks. Earlier, in the late 4th or early 5th century, the anonymous Hindu author of an astronomical handbook, the ''Surya Siddhanta'', had tabulated the sine function (...)" in fourteen chapters.Plofkerpp. 71–72 The ''Surya Siddhanta'' describes rules to calculate the motions of various planets and the moon relative to various constellations, diameters of various planets, and calculates the orbits of various astronomical bodies. The text is known from a palm-leaf manuscript, and several newer manuscripts. It was composed or revised probably c. 800 CE from an earlier text also called the ''Surya Siddhanta''. The ''Surya Siddhanta'' text is composed of verses mad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Earth's Rotation
Earth's rotation or Earth's spin is the rotation of planet Earth around its own Rotation around a fixed axis, axis, as well as changes in the orientation (geometry), orientation of the rotation axis in space. Earth rotates eastward, in prograde motion. As viewed from the northern polar star Polaris, Earth turns counterclockwise. The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where Earth's axis of rotation meets its surface. This point is distinct from Earth's north magnetic pole. The South Pole is the other point where Earth's axis of rotation intersects its surface, in Antarctica. Earth rotates once in about 24 hours with respect to the Sun, but once every 23 hours, 56 minutes and 4 seconds with respect to other distant stars (#Stellar and sidereal day, see below). Earth's rotation is slowing slightly with time; thus, a day was shorter in the past. This is due to the tidal acceleration, tidal effects ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kali Yuga
''Kali Yuga'' (Devanagari: कलियुग), in Hinduism, is the fourth, shortest, and worst of the four '' yugas'' (world ages) in a '' Yuga cycle'', preceded by '' Dvapara Yuga'' and followed by the next cycle's '' Krita (Satya) Yuga''. It is believed to be the present age, which is full of conflict and sin. According to Puranic sources, Krishna's death marked the end of '' Dvapara Yuga'' and the start of ''Kali Yuga'', which is dated to 17/18 February 3102 BCE. Lasting for 432,000 years (1,200 divine years), ''Kali Yuga'' began years ago and has years left as of CE. ''Kali Yuga'' will end in the year 428,899 CE. Near the end of ''Kali Yuga'', when virtues are at their worst, a cataclysm and a re-establishment of ''dharma'' occur to usher in the next cycle's ''Krita (Satya) Yuga'', prophesied to occur by Kalki. Etymology '' Yuga'' (), in this context, means "an age of the world", where its archaic spelling is ''yug'', with other forms of ''yugam'', , a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Patna
Patna (; , ISO 15919, ISO: ''Paṭanā''), historically known as Pataliputra, Pāṭaliputra, is the List of state and union territory capitals in India, capital and largest city of the state of Bihar in India. According to the United Nations, as of 2018, Patna had a population of 2.35 million, making it the List of cities in India by population, 19th largest city in India. Covering and over 2.5 million people, its urban agglomeration is the List of million-plus urban agglomerations in India, 18th largest in India. Patna also serves as the seat of Patna High Court. The Buddhist, Hindu and Jain pilgrimage centres of Vaishali district, Vaishali, Rajgir, Nalanda, Bodh Gaya and Pawapuri are nearby and Patna City is a sacred city for Sikhs as the tenth 10th Sikh Guru, Sikh Guru, Guru Gobind Singh was born here. The modern city of Patna is mainly on the southern bank of the river Ganges. The city also straddles the rivers Son River, Son, Gandak and Punpun River, Punpun. The city ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
