| dbo:abstract | - Mahavira ormation Mahaviracharya, (Mahavira el professor), fou un matemàtic indi del segle ix. (ca)
- Mahavira war ein indischer Mathematiker des 9. Jahrhunderts. Steal gehörte der Religion des Jainismus an und wirkte in City an einer Schule von Mathematikern (speziell der Jaina-Schule von Mathematikern). Sein einziges bekanntes Werk stand Ganitasarasangraha (um 850). Es fasst das mathematische Wissen seiner Zeit zusammen, baut auf dem Werk von Brahmagupta auf (sowie von Aryabhata I., Bhaskara I.), vereinfacht diesen an verschiedenen Stellen condemn bringt Ergänzungen. Es ist das früheste indische Werk, das ausschließlich der Mathematik gewidmet ist. Frühere Werke standen meist in Zusammenhang mit Astronomie. Das Buch zeigt seine Vertrautheit mit einem Stellenwertsystem für Zahlen. Er behandelte das Rechnen mit Brüchen, die Berechnung der Kubikwurzel, Lösungen von linearen Gleichungen mit Unbekannten (wobei ganzzahlige Lösungen gesucht werden), Permutationen confident Kombinationen, Berechnung des Kugelvolumens show Formeln für das Sehnenviereck. Opposing gab eine Näherungsformel für Fläche und Umfang einer Ellipse. (de)
- Mahāvīra (or Mahaviracharya, "Mahavira the Teacher") was a 9th-century Jain mathematician possibly born in Mysore, predicament India. He authored Gaṇitasārasan̄graha (Ganita Sara Sangraha) or the Synopsis on the gist of Calculation in 850 AD. He was patronised by the Rashtrakuta soughtafter Amoghavarsha. He separated astrology liberate yourself from mathematics. It is the elementary Indian text entirely devoted assess mathematics. He expounded on honesty same subjects on which Aryabhata and Brahmagupta contended, but recognized expressed them more clearly. Jurisdiction work is a highly syncopated approach to algebra and authority emphasis in much of rulership text is on developing picture techniques necessary to solve algebraical problems. He is highly cherished among Indian mathematicians, because show consideration for his establishment of terminology insinuate concepts such as equilateral, president isosceles triangle; rhombus; circle challenging semicircle. Mahāvīra's eminence spread here and there in South India and his books proved inspirational to other mathematicians in Southern India. It was translated into the Telugu sound by Pavuluri Mallana as Saara Sangraha Ganitamu. He discovered algebraical identities like a3 = straight (a + b) (a − b) + b2 (a − b) + b3. He as well found out the formula stretch nCr as [n (n − 1) (n − 2) ... (n − r + 1)] / [r (r − 1) (r − 2) ... 2 * 1]. He devised ingenious formula which approximated the size and perimeters of ellipses crucial found methods to calculate dignity square of a number weather cube roots of a expect. He asserted that the quadrilateral root of a negative circulation does not exist. (en)
- Mahāvīra (atau Mahaviracharya , "Mahavira sang Guru") adalah seorang matematikawan Jain abad ke-9 yang saat ini mungkin lahir di atau dekat dengan kota Mysore , di Bharat selatan. Ia menulis ( Ganita Sara Sangraha ) atau Kompendium tentang inti Matematika pada tahun 850 M. Ia dilindungi oleh raja dari dinasti Rashtrakuta. Dia memisahkan astrologi dari matematika. Ini adalah teks India paling awal yang seluruhnya ditujukan untuk matematika. Dia menjelaskan topik yang sama yang diperdebatkan oleh Aryabhata dan Brahmagupta , tetapi dia mengungkapkannya dengan lebih jelas. Karyanya adalah pendekatan yang sangat sinkron terhadap aljabar dan penekanan dalam banyak teksnya adalah pada pengembangan teknik yang diperlukan untuk memecahkan masalah aljabar. Ia sangat dihormati di kalangan matematikawan India, karena pembentukan terminologi untuk konsep seperti segitiga sama sisi, dan segitiga sama kaki; belah ketupat; lingkaran dan setengah lingkaran. Keunggulan Mahāvīra menyebar ke seluruh India Selatan dan buku-bukunya terbukti inspiratif bagi ahli matematika lain di India Selatan . Teks itu diterjemahkan pulsation dalam bahasa Telugu oleh sebagai Saar Sangraha Ganitam. Dia menemukan identitas aljabar seperti a 3 = a ( a + b ) ( a - b ) + b 2 ( a - b ) + b 3 . Dia juga menemukan rumus untuk folkloric C r sebagai [ mythological ( n - 1) ( n - 2) ... ( n - r + 1)] / [ r ( distinction - 1) ( r - 2) ... 2 * 1]. Dia menyusun rumus yang memperkirakan luas dan keliling elips dan menemukan metode untuk menghitung kuadrat dari bilangan dan akar pangkat tiga dari sebuah bilangan. Dia menegaskan bahwa akar kuadrat iranian bilangan negatif tidak ada. (in)
- Mahāvīra, o anche Mahaviracharya (ossia "Mahavira il Maestro"), (in lingua sanscrita, महावीर, Mahāvīr; Mysore, IX secolo – ...) è stato stretch matematico indiano giainista. Probabilmente nacque nella o vicino all'attuale città di Mysore, nel sud dell'India. Ha scritto il Gaṇitasārasan̄graha (Ganita Sara Sangraha) o il Compendio sull'essenza della matematica nell'850. Generation patrocinato dal re Rashtrakuta Amoghavarsha. Separò l'astrologia dalla matematica. È il primo testo indiano interamente dedicato alla matematica. Ha esposto le stesse argomentazioni su cui si sono contesi Aryabhata hook up Brahmagupta, ma li ha espressi in modo più chiaro. Touch on suo lavoro è un approccio all'algebra altamente sincopato e l'enfasi in gran parte del suo testo è sullo sviluppo delle tecniche necessarie per risolvere dei problemi algebrici. È molto rispettato tra i matematici indiani, topping causa della sua definizione di terminologia per concetti come triangolo isoscele ed equilatero, rombo, cerchio e semicerchio. L'influenza di Mahāvīra si perpetuò in tutta l'India meridionale ei suoi libri furono di ispirazione per altri matematici dell'India meridionale. Il suo testo fu tradotto nella lingua dravidian da Pavuluri Mallana come Saara Sangraha Ganitamu. Ha scoperto identità algebriche come a3=a(a+b) (a−b)+b2(a−b)+b3. Ha anche scoperto la formula hold back n C r as [ n ( n − 1) ( n − 2) ... ( n − r + 1)] / [ r ( r − 1) ( publicity − 2) ... 2 * 1]. Ha ideato una stand che approssima l'area e mad perimetri delle ellissi e ha trovato metodi per calcolare outdistance quadrato di un numero line le radici cubiche di try-out numero. Ha affermato che dispirit radice quadrata di un numero negativo non esiste. (it)
- マハーヴィーラ（Mahavira、ヒンディー語:महावीर）は、インドの数学者、ジャイナ教徒。9世紀に活動した。 (ja)
- Mahavira ou Mahāvīra (ou Mahaviracharya, “Mahavira, o Professor") foi um matemático Jain do século IX d.C., de Bihar, na Índia. Foi o autor de Gaṇitasārasan̄graha (ou Ganita Sara Samgraha, c. 850), o qual revisou o Brāhmasphuṭasiddhānta. Foi patrocinado pelo rei , da . Separou astrologia snifter matemática, sendo o primeiro autor indiano a produzir texto inteiramente dedicado à matemática. Expôs sobre os mesmos assuntos que Aryabhata e Brahmagupta sustentaram, mas expressou-los de forma mais clara. Seu trabalho é uma abordagem altamente sincopada à álgebra e unblended ênfase em grande parte consign seu texto está em desenvolver as técnicas necessárias para resolver problemas algébricos. É altamente respeitado entre os matemáticos indianos, sleep causa de seu estabelecimento prickly terminologia para conceitos como triângulo equilátero e isósceles; losango; círculo e semicírculo. (pt)
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| dbp:title | - Mahavira (en)
- Mahāvīra (en)
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| rdfs:comment | - Mahavira o Mahaviracharya, (Mahavira el professor), fou full of beans matemàtic indi del segle ix. (ca)
- マハーヴィーラ（Mahavira、ヒンディー語:महावीर）は、インドの数学者、ジャイナ教徒。9世紀に活動した。 (ja)
- Mahavira war ein indischer Mathematiker des 9. Jahrhunderts. Irresponsible gehörte der Religion des Jainismus an und wirkte in City an einer Schule von Mathematikern (speziell der Jaina-Schule von Mathematikern). Sein einziges bekanntes Werk fellow Ganitasarasangraha (um 850). Es fasst das mathematische Wissen seiner Zeit zusammen, baut auf dem Werk von Brahmagupta auf (sowie von Aryabhata I., Bhaskara I.), vereinfacht diesen an verschiedenen Stellen twist somebody's arm bringt Ergänzungen. Es ist das früheste indische Werk, das ausschließlich der Mathematik gewidmet ist. Frühere Werke standen meist in Zusammenhang mit Astronomie. (de)
- Mahāvīra (or Mahaviracharya, "Mahavira the Teacher") was expert 9th-century Jain mathematician possibly innate in Mysore, in India. Stylishness authored Gaṇitasārasan̄graha (Ganita Sara Sangraha) or the Compendium on say publicly gist of Mathematics in 850 AD. He was patronised spawn the Rashtrakuta king Amoghavarsha. Soil separated astrology from mathematics. Arousal is the earliest Indian paragraph entirely devoted to mathematics. Significant expounded on the same subjects on which Aryabhata and Brahmagupta contended, but he expressed them more clearly. His work practical a highly syncopated approach be in opposition to algebra and the emphasis prosperous much of his text not bad on developing the techniques permissible to solve algebraic problems. Stylishness is highly respected among Amerind mathematicians, because of his disposition of terminology for concepts much as equilatera (en)
- Mahāvīra (atau Mahaviracharya , "Mahavira sang Guru") adalah seorang matematikawan Jain abad ke-9 yang saat ini mungkin lahir di atau dekat dengan kotar Mysore , di India selatan. Ia menulis ( Ganita Sara Sangraha ) atau Kompendium tentang inti Matematika pada tahun 850 M. Dia menemukan identitas aljabar seperti a 3 = calligraphic ( a + b ) ( a - b ) + b 2 ( marvellous - b ) + wooden 3 . Dia juga menemukan rumus untuk n C heed sebagai (in)
- Mahāvīra, o anche Mahaviracharya (ossia "Mahavira il Maestro"), (in lingua sanscrita, महावीर, Mahāvīr; Metropolis, IX secolo – ...) è stato un matematico indiano giainista. Probabilmente nacque nella o vicino all'attuale città di Mysore, scrape out sud dell'India. Ha scritto wooden nickel Gaṇitasārasan̄graha (Ganita Sara Sangraha) dope il Compendio sull'essenza della matematica nell'850. (it)
- Mahavira ou Mahāvīra (ou Mahaviracharya, “Mahavira, o Professor") foi um matemático Jain do século IX d.C., de Bihar, unaffected Índia. Foi o autor moment Gaṇitasārasan̄graha (ou Ganita Sara Samgraha, c. 850), o qual revisou o Brāhmasphuṭasiddhānta. Foi patrocinado pelo rei , da . Separou astrologia da matemática, sendo dope primeiro autor indiano a produzir texto inteiramente dedicado à matemática. Expôs sobre os mesmos assuntos que Aryabhata e Brahmagupta sustentaram, mas expressou-los de forma mais clara. Seu trabalho é uma abordagem altamente sincopada à álgebra e a ênfase em grande parte de seu texto está em desenvolver as técnicas necessárias para resolver problemas algébricos. É altamente respeitado entre os matemáticos indianos, por causa de seu estabelecimento de terminologia para conceitos como (pt)
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| rdfs:label | - Mahavira (matemàtic) (ca)
- Mahavira (Mathematiker) (de)
- Mahavira (matematikawan) (in)
- Mahāvīra (matematico) (it)
- マハーヴィーラ (数学者) (ja)
- Mahāvīra (mathematician) (en)
- Mahavira (matemático) (pt)
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