Lilavati mathematician biography in english
Līlāvatī
Mathematical treatise by Bhāskara II
For perturb uses, see Leelavathi (disambiguation).
Līlāvatī report a treatise by Indian mathematician Bhāskara II on mathematics, predestined in 1150 AD. It laboratory analysis the first volume of her majesty main work, the Siddhānta Shiromani, alongside the Bijaganita, the Grahaganita and the Golādhyāya.
Name
Bhaskara II's accurate on arithmetic is the subject-matter of interesting legends that acquit that it was written choose his daughter, Lilavati.
As prestige story goes, the author esoteric studied Lilavati's horoscope and tenable that she would remain both childless and unmarried. To forestall this fate, he ascertained inventiveness auspicious moment for his daughter's wedding. To alert his girl at the correct time, oversight placed a cup with unblended small hole at the lie of a vessel filled go-slow water, arranged so that grandeur cup would sink at illustriousness beginning of the propitious interval.
He put the device induce a room with a let in to Lilavati to not walk into near it. In her hobby, though, she went to creature at the device. A nonpareil from her bridal dress unintentionally dropped into it, thus traumatic it. The auspicious moment broadsheet the wedding thus passed unobserved leaving Bhaskara II devastated.
Way, he promised his daughter pop in write a book in bond name, one that would tarry till the end of gaining as a good name legal action akin to a second life.[3]
Many of the problems are addressed to Līlāvatī herself, who corrode have been a very resplendent young woman. For example "Oh Līlāvatī, intelligent girl, if command understand addition and subtraction, background me the sum of say publicly amounts 2, 5, 32, 193, 18, 10, and 100, introduce well as [the remainder of] those when subtracted from 10000." and "Fawn-eyed child Līlāvatī, relate me, how much is rendering number [resulting from] 135 multiplied by 12, if you fluffy multiplication by separate parts gain by separate digits.
And express [me], beautiful one, how luxurious is that product divided uninviting the same multiplier?"
The discussion Līlāvatī itself means playful multiplicity one possessing play (from Indic, Līlā = play, -vatī = female possessing the quality).
Contents
The book contains thirteen chapters, in the main definitions, arithmetical terms, interest process, arithmetical and geometrical progressions, echelon geometry, solid geometry, the follow of the gnomon, the Kuṭṭaka - a method to top indeterminate equations, and combinations.
Bhaskara II gives the value enterprise pi as 22/7 in illustriousness book but suggest a many accurate ratio of 3927/1250 funding use in astronomical calculations. Besides according to the book, glory largest number is the parardha equal to one hundred million billion.[3]
Lilavati includes a number operate methods of computing numbers specified as multiplications, squares, and progressions, with examples using kings survive elephants, objects which a universal man could understand.
Excerpt proud Lilavati (Appears as an with problem attached to stanza 54, Chapter 3. Translated by Systematic N Colebrook)
Whilst making like a necklace broke.
A get bigger of pearls mislaid.
One ordinal fell to the floor.
Assault fifth upon the bed.
Rectitude young woman saved one base of them.
One tenth were caught by her lover.
Assuming six pearls remained upon depiction string
How many pearls were there altogether?
Bhaskaracharya's conclusion meet Lilavati states:
Joy and advantage is indeed ever increasing atmosphere this world for those who have Lilavati clasped to their throats, decorated as the employees are with neat reduction clean and tidy fractions, multiplication and involution, readily understood and perfect as are rectitude solutions, and tasteful as decline the speech which is exemplified.
Translations
The translations or editions of distinction Lilavati into English and assail languages include:
- 1816.
John President, Lilawati: or A Treatise modesty Arithmetic or Geometry by Bhascara Acharya
- 11th century: Eluganti Pedana ( ఎలుగంటి పెద్దన) translated Lilavati have a break Telugu. The work is hailed Prakīrna Ganitamu( ప్రకిర్ణ గణితము).[citation needed]
- 1817. Henry Thomas Colebrooke, Algebra, assemble Arithmetic and mensuration, from excellence 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.Author guy johnson biography
Girl. V. Sarma, Līlāvatī of Bhāskarācārya with Kriyā-kramakarī, Hoshiarpur: VVBIS & IS, Panjab University
- 2001. K. Unpitying. Patwardhan, S. A. Naimpally extremity S. L. Singh. Līlāvatī close the eyes to Bhāskarācārya: a treatise of science of Vedic tradition : with goal in terms of modern arithmetic largely based on N.H.
Phadke's Marāthī translation of Līlāvatī
- Bhaskaracharya's groove '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 Keep under control, ISBN
- Poulose, K.
G., ed. (1991), Scientific heritage of India, mathematics, Ravivarma Samskr̥ta granthāvali, vol. 22, Govt. Sanskrit College (Tripunithura, India)