Bhaskaracharya biography of william

Bhaskaracharya wrote Siddhanta Shiromani in AD when he was 36 years old. This is a mammoth work containing about verses. It is divided into four parts, Lilawati, Beejaganit, Ganitadhyaya and Goladhyaya. In fact each part can be considered as separate book. The numbers of verses in each part are as follows, Lilawati hasBeejaganit hasGanitadhyaya has and Goladhyaya has verses.

One of the most important characteristic of Siddhanta Shiromani is, it consists of simple methods of calculations from Arithmetic to Astronomy. Essential knowledge of ancient Indian Astronomy can be acquired by reading only this book. Siddhanta Shiromani has surpassed all the ancient books on astronomy in India. After Bhaskaracharya nobody could write excellent books on mathematics and astronomy in lucid language in India.

In India, Siddhanta works used to give no proofs of any theorem. Bhaskaracharya has also followed the same tradition. Lilawati is an excellent example of how a difficult subject like mathematics can be written in poetic language.

Bhaskaracharya biography of william: Born in a Hindu

Lilawati has been translated in many languages throughout the world. When British Empire became paramount in India, they established three universities inat Bombay, Calcutta and Madras. No other textbook has enjoyed such long lifespan. Lilawati and Beejaganit together consist of about verses. A few important highlights of Bhaskar's mathematics are as follows:.

In English, cardinal numbers are only in multiples of They have terms such as thousand, million, billion, trillion, quadrillion etc. Most of these have been named recently. However, Bhaskaracharya has given the terms for numbers in multiples of ten and he says that these terms were coined by ancients for the sake of positional values. Bhaskar's terms for numbers are as follows:.

Kuttak is nothing but the modern indeterminate equation of first order. Kuttak means to crush to fine particles or to pulverize. There are many kinds of Kuttaks. Let us consider one example. We want to also find out the values of x and y in integers. It is not easy to find solutions of these equations but Bhaskara has given a generalized solution to get multiple answers.

Though the equation is recognized by his name Pell had never solved the equation. Much before Pell, the equation was solved by an ancient and eminent Indian mathematician, Brahmagupta AD. The solution is given in his Brahmasphutasiddhanta. Bhaskara modified the method and gave a general solution of this equation. There is an interesting history behind this very equation.

Allahabad Univ.

Bhaskaracharya biography of william: He was born in the Shaka

D A Somayaji, Bhaskara's calculations of the gnomon's shadow, Math. Student 181 - 8. Additional Resources show. Honours show. Cross-references show. One can use the stick and its shadow to find the time to fix geographical north, south, east, and west. One can find the latitude of a place by bhaskaracharya biography of william the minimum length of the shadow on the equinoctial days or pointing the stick towards the North Pole.

Bhaskaracharya had calculated the apparent orbital periods of the Sun and orbital periods of Mercury, Venus, and Mars though there is a slight difference between the orbital periods he calculated for Jupiter and Saturn and the corresponding modern values. Triumphant is the illustrious Bhaskaracharya whose feats are revered by both the wise and the learned.

A poet endowed with fame and religious merit, he is like the crest on a peacock. It is a matter of great pride and honour that his works have received recognition across the globe. About Us. Already booked a tutor? Find your Math Personality! Math Concepts. Bhaskara II. Table of Contents 1. Introduction 2. Who is Bhaskara ii? Works of Bhaskara ii 4.

Summary Works of Bhaskara ii Bhaskara developed an understanding of calculus, the number systems, and solving equations, which were not to be achieved anywhere else in the world for several centuries. They were: Lilavati: A treatise on arithmetic, geometry and the solution of indeterminate equations Bijaganita: A treatise on AlgebraGoladhyaya: Mathematics of SpheresGrahaganita: Mathematics of the Planets.

Lilavati Lilavati is composed in verse form so that pupils could memorise the rules without the need to refer to written text. Here is one poem from Lilavati: A fifth part of a swarm of bees came to rest on the flower of Kadamba, a third on the flower of Silinda Three times the difference between these two numbers flew over a flower of Krutaja, and one bee alone remained in the air, attracted by the perfume of a jasmine in bloom Tell me, beautiful girl, how many bees were in the swarm?

Grahaganita The third book or the Grahaganita deals with mathematical astronomy. His mathematical astronomy text Siddhanta Shiromani is written in two parts: the first part on mathematical astronomy and the second part on the sphere. This device could vary from a simple stick to V-shaped staffs designed specifically for determining angles with the help of a calibrated scale.

In his book Lilavatihe reasons: "In this quantity also which has zero as its divisor there is no change even when many quantities have entered into it or come out [of it], just as at the time of destruction and creation when throngs of creatures enter into and come out of [him, there is no change in] the infinite and unchanging [Vishnu]". It has been stated, by several authors, that Bhaskara II proved the Pythagorean theorem by drawing a diagram and providing the single word "Behold!

However, as mathematics historian Kim Plofker points out, after presenting a worked-out example, Bhaskara II states the Pythagorean theorem:. Hence, for the sake of brevity, the square root of the sum of the squares of the arm and upright is the hypotenuse: thus it is demonstrated. And otherwise, when one has set down those parts of the figure there [merely] seeing [it is sufficient].

Bhaskaracharya biography of william: Bhaskara (–), also known as Bhaskara

Plofker suggests that this additional statement may be the ultimate source of the widespread "Behold! Invis Multimedia released Bhaskaracharyaan Indian documentary short on the mathematician in Contents move to sidebar hide. Article Talk. Read Edit View history. Tools Tools. Download as PDF Printable version. In other projects. Wikimedia Commons Wikisource Wikidata item.

Indian mathematician and astronomer — Wikipedia's multilingual support templates may also be used. See why. March Statue of Bhaskara II at Patnadevi. Vijjadavida, Maharashtra probably Patan [ 1 ] [ 2 ] in Khandesh or Beed [ 3 ] [ 4 ] [ 5 ] in Marathwada. UjjainMadhya Pradesh. Date, place and family [ edit ]. Bijaganita [ edit ].

Grahaganita [ edit ]. Mathematics [ edit ]. Arithmetic [ edit ].