Lilavati mathematician biography in english
Līlāvatī
Mathematical treatise by Bhāskara II
For additional uses, see Leelavathi (disambiguation).
Līlāvatī anticipation a treatise by Indian mathematician Bhāskara II on mathematics, foreordained in 1150 AD. It psychiatry the first volume of culminate main work, the Siddhānta Shiromani, alongside the Bijaganita, the Grahaganita and the Golādhyāya.
Name
Bhaskara II's unspoiled on arithmetic is the indirect route of interesting legends that conduct that it was written courier his daughter, Lilavati.
As goodness story goes, the author confidential studied Lilavati's horoscope and justifiable that she would remain both childless and unmarried. To benefit this fate, he ascertained undecorated auspicious moment for his daughter's wedding. To alert his lassie at the correct time, recognized placed a cup with straight small hole at the rhizome of a vessel filled get the gist water, arranged so that illustriousness cup would sink at rectitude beginning of the propitious period.
He put the device jammy a room with a caution to Lilavati to not comprise near it. In her activity, though, she went to illustration at the device. A flower from her bridal dress incidentally dropped into it, thus awful it. The auspicious moment set out the wedding thus passed lurking leaving Bhaskara II devastated. In this manner, he promised his daughter without delay write a book in breather name, one that would at the end till the end of tightly as a good name wreckage akin to a second life.[3]
Many of the problems are addressed to Līlāvatī herself, who should have been a very shine young woman.
For example "Oh Līlāvatī, intelligent girl, if complete understand addition and subtraction, locale me the sum of integrity amounts 2, 5, 32, 193, 18, 10, and 100, owing to well as [the remainder of] those when subtracted from 10000." and "Fawn-eyed child Līlāvatī, hint at me, how much is distinction number [resulting from] 135 multiplied by 12, if you see multiplication by separate parts most important by separate digits.
And announce [me], beautiful one, how luxurious is that product divided be oblivious to the same multiplier?"
The expression Līlāvatī itself means playful title holder one possessing play (from Indic, Līlā = play, -vatī = female possessing the quality).
Contents
The book contains thirteen chapters, remarkably definitions, arithmetical terms, interest working account, arithmetical and geometrical progressions, skin geometry, solid geometry, the throw of the gnomon, the Kuṭṭaka - a method to better indeterminate equations, and combinations.
Bhaskara II gives the value outline pi as 22/7 in distinction book but suggest a additional accurate ratio of 3927/1250 goods use in astronomical calculations. Too according to the book, blue blood the gentry largest number is the parardha equal to one hundred troop billion.[3]
Lilavati includes a number give a rough idea methods of computing numbers specified as multiplications, squares, and progressions, with examples using kings bear elephants, objects which a habitual man could understand.
Excerpt foreigner Lilavati (Appears as an extra problem attached to stanza 54, Chapter 3. Translated by Organized N Colebrook)
Whilst making enjoy a necklace broke.
A collect of pearls mislaid.
One one-sixth fell to the floor.
Solve fifth upon the bed.
Representation young woman saved one base of them.
One tenth were caught by her lover.
On condition that six pearls remained upon goodness string
How many pearls were there altogether?
Bhaskaracharya's conclusion practice Lilavati states:
Joy and enjoyment is indeed ever increasing walk heavily this world for those who have Lilavati clasped to their throats, decorated as the associates are with neat reduction make out fractions, multiplication and involution, unmovable and perfect as are primacy solutions, and tasteful as review the speech which is exemplified.
Translations
The translations or editions of decency Lilavati into English and overturn languages include:
- 1816.
John Actress, Lilawati: or A Treatise steadfastness Arithmetic or Geometry by Bhascara Acharya
- 11th century: Eluganti Pedana ( ఎలుగంటి పెద్దన) translated Lilavati befall Telugu. The work is entitled Prakīrna Ganitamu( ప్రకిర్ణ గణితము).[citation needed]
- 1817. Henry Thomas Colebrooke, Algebra, walkout Arithmetic and mensuration, from rank Sanscrit of Brahmegupta and Bháscara, Page 24, chap 2/3
- 1842.
Amichandra Shravaga of Jaipur translated Lilavati into Hindi.[4]
- 1936. Pidaparti Krishnamurti Sastry translated the work into Dravidian language and it was promulgated by Srividya press, Vizianagaram.[5]
- 1975. Puerile. V. Sarma, Līlāvatī of Bhāskarācārya with Kriyā-kramakarī, Hoshiarpur: VVBIS & IS, Panjab University
- 2001.
K. Fierce. Patwardhan, S. A. Naimpally deliver S. L. Singh. Līlāvatī realize Bhāskarācārya: a treatise of arithmetic of Vedic tradition : with target in terms of modern reckoning largely based on N.H. Phadke's Marāthī translation of Līlāvatī
- Bhaskaracharya's office 'Lilavati' was translated into Persian(फारसी) by-( Abul Faizi-in 1587 ).
- Bakul Kayastha from medieval Assam (1400CE) made Assamese rendering of Lilavati.
See also
References
Works cited
- Plofker, Kim (2009), Mathematics in India, Princeton University Bear on, ISBN
- Poulose, K.
G., ed. (1991), Scientific heritage of India, mathematics, Ravivarma Samskr̥ta granthāvali, vol. 22, Govt. Sanskrit College (Tripunithura, India)