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History Of The Hindu–Arabic Numeral System
The Hindu–Arabic numeral system is a decimal place-value numeral system that uses a zero glyph as in "205". Its glyphs are descended from the Indian Brahmi numerals. The full system emerged by the 8th to 9th centuries, and is first described outside India in Al-Khwarizmi's ''On the Calculation with Hindu Numerals'' (ca. 825), and second Al-Kindi's four-volume work ''On the Use of the Indian Numerals'' (ca. 830). Today the name ''Hindu–Arabic numerals'' is usually used. Decimal system Historians trace modern numerals in most languages to the Brahmi numerals, which were in use around the middle of the 3rd century BC. The place value system, however, developed later. The Brahmi numerals have been found in inscriptions in caves and on coins in regions near Pune, Maharashtra and Uttar Pradesh in India. These numerals (with slight variations) were in use up to the 4th century. During the Gupta period (early 4th century to the late 6th century), the Gupta numerals developed from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hindu–Arabic Numeral System
The Hindu–Arabic numeral system or Indo-Arabic numeral system Audun HolmeGeometry: Our Cultural Heritage 2000 (also called the Hindu numeral system or Arabic numeral system) is a positional decimal numeral system, and is the most common system for the symbolic representation of numbers in the world. It was invented between the 1st and 4th centuries by Indian mathematicians. The system was adopted in Arabic mathematics by the 9th century. It became more widely known through the writings of the Persian mathematician Al-Khwārizmī: "Historians have speculated on al-Khwarizmi's native language. Since he was born in a former Persian province, he may have spoken the Persian language. It is also possible that he spoke Khwarezmian, a language of the region that is now extinct." (''On the Calculation with Hindu Numerals'', ) and Arab mathematician Al-Kindi (''On the Use of the Hindu Numerals'', ). The system had spread to medieval Europe by the High Middle Ages. The system is base ... [...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] |
Gwalior
Gwalior() is a major city in the central Indian state of Madhya Pradesh; it lies in northern part of Madhya Pradesh and is one of the Counter-magnet cities. Located south of Delhi, the capital city of India, from Agra and from Bhopal, the state capital, Gwalior occupies a strategic location in the Gird region of India. The historic city and its fortress have been ruled by several historic Indian kingdoms. From the Kachchhapaghatas in the 10th century, Tomars in the 13th century, it was passed on to the Mughal Empire, then to the Maratha in 1754, and the Scindia dynasty of Maratha Empire in the 18th century. In April 2021, It was found that Gwalior had the best air quality index (AQI 152) amongst the 4 major cities in Madhya Pradesh. Besides being the administrative headquarters of Gwalior district and Gwalior division, Gwalior has many administrative offices of the Chambal division of northern Madhya Pradesh. Several administrative and judicial organisations, commission ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sharada Script
The Śāradā, Sarada or Sharada script is an abugida writing system of the Brahmic family of scripts. The script was widespread between the 8th and 12th centuries in the northwestern parts of Indian Subcontinent (in Kashmir and neighbouring areas), for writing Sanskrit and Kashmiri. Originally more widespread, its use became later restricted to Kashmir, and it is now rarely used except by the Kashmiri Pandit community for religious purposes. It is a native script of Kashmir and is named after the goddess Śāradā or Saraswati, the goddess of learning and the main deity of the Sharada Peeth temple. History The Bakhshali manuscript uses an early stage of the Sharada script. The Sharada script was used in Afghanistan as well as in the Himachal region in India. In Afghanistan, the Kabul Ganesh has a 6th to 8th century Proto-Sharada inscription mentioning the, Turk Shahis, king Khingala of Oddiyana. At the historic Markula Devi Temple, the goddess Mahishamardini has a Sh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brahma Sphuta Siddhanta
Brahma ( sa, ब्रह्मा, Brahmā) is a Hindu god, referred to as "the Creator" within the Trimurti, the trinity of supreme divinity that includes Vishnu, and Shiva.Jan Gonda (1969)The Hindu Trinity Anthropos, Bd 63/64, H 1/2, pp. 212–226. He is associated with creation, knowledge, and the ''Vedas''. Brahma is prominently mentioned in creation legends. In some ''Puranas'', he created himself in a golden embryo known as the Hiranyagarbha. Brahma is frequently identified with the Vedic god Prajapati.;David Leeming (2005), The Oxford Companion to World Mythology, Oxford University Press, , page 54, Quote: "Especially in the Vedanta Hindu Philosophy, Brahman is the Absolute. In the Upanishads, Brahman becomes the eternal first cause, present everywhere and nowhere, always and never. Brahman can be incarnated in Brahma, in Vishnu, in Shiva. To put it another way, everything that is, owes its existence to Brahman. In this sense, Hinduism is ultimately monotheistic or mon ... [...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] |
Gwalior Zeros
Gwalior() is a major city in the central Indian state of Madhya Pradesh; it lies in northern part of Madhya Pradesh and is one of the Counter-magnet cities. Located south of Delhi, the capital city of India, from Agra and from Bhopal, the state capital, Gwalior occupies a strategic location in the Gird region of India. The historic city and its fortress have been ruled by several historic Indian kingdoms. From the Kachchhapaghatas in the 10th century, Tomars in the 13th century, it was passed on to the Mughal Empire, then to the Maratha in 1754, and the Scindia dynasty of Maratha Empire in the 18th century. In April 2021, It was found that Gwalior had the best air quality index (AQI 152) amongst the 4 major cities in Madhya Pradesh. Besides being the administrative headquarters of Gwalior district and Gwalior division, Gwalior has many administrative offices of the Chambal division of northern Madhya Pradesh. Several administrative and judicial organisations, commission ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Varāhamihira
Varāhamihira ( 505 – 587), also called Varāha or Mihira, was an ancient Indian astrologer, astronomer, and polymath who lived in Ujjain (Madhya Pradesh, India). He was born at Kapitba in a Brahmin family, in the Avanti region, roughly corresponding to modern-day Malwa (part of Madhya Pradesh, India), to Adityadasa. According to one of his own works, he was educated at Kapitthaka. The Indian tradition believes him to be one of the "Nine Jewels" (Navaratnas) of the court of ruler Yashodharman Vikramaditya of Malwa. However, this claim appears for the first time in a much later text and scholars consider this claim to be doubtful because neither Varahamihira and Vikramaditya lived in the same century nor did Varahamihira live in the same century as some of the other names in the "nine jewels" list such as the much older Kalidasa. Varāhamihira's most notable works were the ''Brihat Samhita'', an encyclopedic, Quote: " ..the new temples and inconography, the science of arch ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lokavibhaga
The ''Lokavibhāga'' is a Jain cosmological text originally composed in Prakrit by a Digambara monk Digambara Sādhu (also ''muni'', ''sādhu'') is a Sādhu in the Digambar tradition of Jainism, and as such an occupant of the highest limb of the four-fold ''sangha''. They are also called ''Nirgranth'' which means "one without any bonds". Di ..., Sarvanandi, surviving in a later Sanskrit translation by one Siṃhasūri. It the oldest known Indian source to use zero as number. Surviving manuscripts of the ''Lokavibhāga'' are listed in v.26 of the ''New Catalogus Catalogorum''. Parts of the Bakhshali Manuscript on arithmetic, which does use a physically written symbol for zero, have been carbon-dated, but the results of this dating are puzzling and are still being debated. The printed edition of the ''Lokavibhāga'' states that the original Prakrit work was composed by Sarvanandin at Patalika in the Banarastra on a certain day the astronomical details of which are giv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yoga Sutras
The ''Yoga Sutras of Patañjali'' is a collection of Sanskrit sutras (aphorisms) on the theory and practice of yoga – 195 sutras (according to Vyāsa and Krishnamacharya) and 196 sutras (according to others, including BKS Iyengar). The ''Yoga Sutras'' was compiled in the early centuries CE, by the sage Patanjali in India who synthesized and organized knowledge about yoga from much older traditions. The ''Yoga Sutras'' is best known for its reference to '' ashtanga'', eight elements of practice culminating in ''samadhi''. The eight elements are ''yama'' (abstinences), ''niyama'' (observances), ''asana'' (yoga postures), ''pranayama'' (breath control), ''pratyahara'' (withdrawal of the senses), '' dharana'' (concentration of the mind), ''dhyana'' (meditation) and ''samadhi'' (absorption). The main aim of practice is ''kaivalya'', discernment of ''purusha'', the witness-consciousness, as distinct from '' prakriti'', the cognitive apparatus, and disentanglement of ''purusha'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Patanjali
Patanjali ( sa, पतञ्जलि, Patañjali), also called Gonardiya or Gonikaputra, was a Hindu author, mystic and philosopher. Very little is known about him, and while no one knows exactly when he lived; from analysis of his works it is estimated that it was between the 2nd and 4th centuries CE. He is believed to be an author and compiler of a number of Sanskrit works. The greatest of these are the ''Yoga Sutras'', a classical yoga text. There is speculation as to whether the sage Patañjali is the author of all the works attributed to him, as there are a number of known historical authors of the same name. A great deal of scholarship has been devoted over the last century as to the issue of the historicity or identity of this author or these authors. lists ten separate authors by the name of "Patañjali." Amongst the more important authors called Patañjali are: * The author of the ''Mahābhāṣya'', an ancient treatise on Sanskrit grammar and linguistics, based on t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vasubandhu
Vasubandhu (; Tibetan: དབྱིག་གཉེན་ ; floruit, fl. 4th to 5th century CE) was an influential bhikkhu, Buddhist monk and scholar from ''Puruṣapura'' in ancient India, modern day Peshawar, Pakistan. He was a philosopher who wrote commentary on the Abhidharma, from the perspectives of the Sarvastivada and Sautrāntika schools. After his conversion to Mahayana, Mahayana Buddhism, along with his half-brother, Asanga, he was also one of the main founders of the Yogacara school. Vasubandhu's ''Abhidharmakośakārikā'' ("Commentary on the Treasury of the Abhidharma") is widely used in Tibetan and East Asian Buddhism, as the major source for non-Mahayana Abhidharma philosophy. His philosophical verse works set forth the standard for the Indian Yogacara metaphysics of "appearance only" (''vijñapti-mātra''), which has been described as a form of "epistemological idealism", Phenomenology (philosophy), phenomenology and close to Immanuel Kant's transcendental ideali ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
