Bhaskara charya

  1. Līlāvatī
  2. Facts of India ancient science and technology
  3. Bhāskara II
  4. Nimbarkacharya
  5. Bhaskaracharya
  6. Bhaskaracharya, the greatest Mathematician who introduced concept of 'Infinity'


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Līlāvatī

Name [ ] His book on Many of the problems are addressed to Līlāvatī herself who must have been a very bright young woman. For example "Oh Līlāvatī, intelligent girl, if you understand addition and subtraction, tell me the sum of the amounts 2, 5, 32, 193, 18, 10, and 100, as well as [the remainder of] those when subtracted from 10000." and "Fawn-eyed child Līlāvatī, tell me, how much is the number [resulting from] 135 multiplied by 12, if you understand The word Līlāvatī itself means playful or one possessing play (from Sanskrit, Līlā = play, -vatī = female possessing the quality). Contents [ ] The book contains thirteen chapters, mainly definitions, arithmetical terms, interest computation, parardha equal to one hundred thousand billion. Lilavati includes a number of methods of computing numbers such as multiplications, squares, and progressions, with examples using kings and elephants, objects which a common man could understand. Excerpt from Lilavati (Appears as an additional problem attached to stanza 54, Chapter 3. Translated by T N Colebrook) Whilst making love a necklace broke. A row of pearls mislaid. One sixth fell to the floor. One fifth upon the bed. The young woman saved one third of them. One tenth were caught by her lover. If six pearls remained upon the string How many pearls were there altogether? Bhaskaracharya's conclusion to Lilavati states: Joy and happiness is indeed ever increasing in this world for those who have Lilavati clasped to their throats, de...

Facts of India ancient science and technology

World’s most ancient advanced civilization was born in the Valley of Indus. It is now called the Indus Valley Civilization, where the houses were constructed with Architecture plans. The Drainage system, city planning, and everything were very similar to the present civilization. Sucuniqueng townships were built by the Indians thousands of years ago. 2. World First Universities Established In India The Famous Ancient Indian Universities Taxila and Nalanda were established 700 years before Christ. The universities had 10,500 students from various countries worldwide, and the Teachers preach to the students on 70 subjects. What a wonderful country India is. Universities have spread profound knowledge in every corner of the world thousands of years ago. 3. Ayurvedic Medicine. Charaka, the great Indian Physician, developed the Very Ancient Medicine Ayurveda during Ancient times. The Ayurveda treatment has no side effects and takes a holistic view of the person being treated. Still, Ayu and Aveda medicine has been functioning in developed countries like America, Canada, France etc. 4. Astronomy. The great Astronomer and Mathematician Bhaskara Charya was the first person to calculate the time taken by the Earth to Orbit the Sun. His calculations showed that the Earth takes around 365.258756484 days to go around the Sun once. It is unbelievable to Scientists to calculate thousands of years ago with exact measures. NASA also proved his Calculations. 5. Indians invented Pie Value. ...

Bhāskara II

Bhāskara II, also called Bhāskarācārya or Bhaskara the Learned, (born 1114, Biddur, India—died c. 1185, probably Ujjain), the leading mathematician of the 12th century, who wrote the first work with full and Bhāskara II was the lineal successor of the noted Indian mathematician c. 665) as head of an Numbers and Mathematics In Bhāskara II’s mathematical works (written in verse like nearly all x 2 = 1 + py 2) and in giving many particular solutions (e.g., x 2 = 1 + 61 y 2, which has the solution x = 1,766,319,049 and y = 226,153,980; French mathematician 3/ 0 is an a⁄ 0 × 0 = a. Bhāskara II used letters to represent unknown quantities, much as in modern π = 3.141666. In other of his works, notably Karaṇakutūhala (“Calculation of Astronomical Wonders”), he wrote on his Līlāvatī, after his daughter in order to console her. He tried to determine the best time for Līlāvatī’s marriage by using a Līlāvatī are addressed to women, using such feminine vocatives as “dear one” or “beautiful one.” This article was most recently revised and updated by

Nimbarkacharya

• v • t • e Nimbarkacharya ( निम्बार्काचार्य, Nimbārkāchārya) ( c. 1130 – c. 1200 Nimbarka, Nimbaditya or Niyamananda, was a Hindu philosopher, theologian and the chief proponent of the theology of Nimbarka is believed to have lived around the 11th and 12th centuries, but this dating has been questioned, suggesting that he lived somewhat earlier than Etymology and epithets [ ] The word 'Nimbārka' (निंबार्क) is derived from two Datings [ ] Nimbarka's traditional followers believe that he appeared in 3096 BCE, but this dating is controversial as historians believe that he lived between 7th and 11th century CE. Madhvamukhamardana. According to Satyanand, Bose's dating of the 13th century is an erroneous attribution. Biography [ ] Little is known about Nimbarka's life. He is said to have been born into a It is believed that Nimbarka was given the name Niyamananda at his birth, but sometimes Bhaskara is considered as his birth name. References [ ] • • ^ a b • • sfn error: no target: CITEREFMalkovsky ( • Encyclopedia Britannica . Retrieved 16 January 2021. • • ^ a b www.britannica.com . Retrieved 14 January 2022. • • ^ a b • • ^ a b c • ^ a b • ^ a b c • A History of Indian Philosophy (Vol. 3) by Surendranath Dasgupta, (Cambridge: 1921) page 420 • Saiyed A A Rizvi- A history of Sufism in India, Vol.1 (Munshi Ram Manoharlal Publishing Private Limited: 1978), page 355 • Satyanand, J. Nimbārka: A Pre-Śaṅkara Vedāntin and his philosophy, Varanasi, 1997 • ^ a b • • ^ a b • Bibliograp...

Bhaskaracharya

The period between 500 and 1200 AD was the golden age of Indian Astronomy. In this long span of time Indian Astronomy flourished mainly due to eminent astronomers like Aryabhatta, Lallacharya, Varahamihir, Brahmagupta, Bhaskaracharya and others. Bhaskaracharya, or Bhaskara II (1114 – 1185) is regarded almost without question as the greatest Hindu mathematician of all time and his contribution to not just Indian, but world mathematics is undeniable. He was born near Bijjada Bida (in present day Bijapur district, Karnataka state, South India) into the Deshastha Brahmin family. Some of Bhaskara’s contributions to mathematics include the following: -Bhaskara is the first to give the general solution to the quadratic equation ax2 + bx + c = 0, the answer being x = (-b ± (b2 – 4ac)1/2)/2a. -He also gives the (now) well known results for sin (a + b) and sin (a – b). -Stated Rolle’s Theorem, a special case of one of the most important theorems in analysis, the mean value theorem. Traces of the general mean value theorem are also found in his works. -Solutions of indeterminate quadratic equations (of the type ax² + b = y²). -Bhaskara also goes deeper into the ‘differential calculus’ and suggests the differential coefficient vanishes at an extremum value of the function, indicating knowledge of the concept of ‘infinitesimals’ Bhaskaracharya wrote Siddhanta Shiromani in 1150 AD when he was 36 years old. This is a mammoth work containing about 1450 verses. It is divided into four part...

Bhaskaracharya, the greatest Mathematician who introduced concept of 'Infinity'

He represented the peaks of mathematical knowledge in the 12th century and was the head of the astronomical observatory at Ujjain, the leading mathematical centre of ancient India. Bhaskara II’s family belonged to Deshastha Brahmin community, which served as court scholars at Kings forts. He learned Mathematics from his father Maheswara, an astrologer. He imparted his knowledge of mathematics to his son Lokasamudra, whose son had started a school to study the works of his grand father in 1207 AD. His main work Siddhānta Shiromani, (Sanskrit for “ Crown of treatises,“) is divided into four parts called Lilāvati(beautiful woman, named after his daughter Lilavati), Bijaganita, Grahaganita (mathematics of planets) and Golādhyāya (study of sphere/earth). These four sections deal with arithmetic, algebra, mathematics of the planets, and spheres respectively. He also wrote another treatise named Karna Kautoohala. Bhāskara’s work on calculus predates Newton and Leibniz by over half a millennium. He is particularly known in the discovery of the principles of differential calculus and its application to astronomical problems and computations. While Newton and Leibniz have been credited with differential and integral calculus, there is strong evidence to suggest that Bhāskara was a pioneer in some of the principles of differential calculus. He was perhaps the first to conceive the differential coefficient and differential calculus. Lilavati (meaning a beautiful woman) is based on Ari...