Book Source: Digital Library of India Item : ioned. Bija ganita [of Bhāskara Āchārya]: or The algebra of the Hindus. [Tr.] by E By Bhāskara Āchārya. About this book · Terms of Service · Plain text · PDF. Lilavati (mathematics); Bijaganita (algebra); Siddhantasiromani; Vasanabhasya ( commentary Bhaskaracharya is finding integer solution to x = y +
|Published (Last):||23 November 2006|
|PDF File Size:||19.45 Mb|
|ePub File Size:||10.64 Mb|
|Price:||Free* [*Free Regsitration Required]|
The rules that Bhaskara wrote about were the same rules that European mathematicians would come up with almost five hundred years later.
As a result, Lilavati was widowed soon after her marriage took place. The Lilavati The Lilavati focuses on arithmetic and according to a story that was written in a Persian translation of the book, the book was written for his daughter, who was named Lilavati. Bhaskara also discovered spherical trigonometry. Bhaskara calculated that it would take While she was looking at the device, a pearl from her dress fell into the cup and blocked the hole.
Bijaganita (elements Of Algebra)
The problem was that Indian mathematicians were not able to accept the fact that it is impossible to divide by 0. Bhaskara also looked at ways to expand upon some of the work done by Brahmagupta.
Bhaskara is viewed as one of the greatest mathematicians of medieval India and his work has influenced both Indian and Islamic mathematicians bhaxkara well as European ones. In fact, Bhaskara also taught mathematics to his son Loksamudra. Bhaskara seems to have an actual interest in trigonometry and used it to calculate the sines of and degree angles.
Bhaskara also looked at negative numbers and surds in this book. In addition to indeterminate equations, the book looks at quadratic, bhazkara simple equations as well as methods for evaluating surds. Bhaskara came to the conclusion that if you divide one by zero, you will end up with an infinite number of pieces.
This is a field in spherical geometry and is very important in the fields of astronomy, geodesy, and navigation. Bhaskara had calculated how long it would take for the cup to fill and sink.
8 V. Bhaskaracharya II
The work Bhaskara did in the book on indeterminate equations and integer solutions is the most important material in the book. He was the first person to realize this. Bhaskara looked at the mean longitudes and the true longitudes of the planets as well as latitudes. In addition, the book covers an epicycle model of the planets. Surds are simply square roots that are not whole numbers. Bhaskara showed that when a planet is at its farthest or at its closest from Earth, the equation of the centre vanishes.
Bhaskara also covered cosmography, geography and the seasons.
The Bijaganita focuses on algebra and has twelve chapters. He also came up with the beginnings of infinitesimal calculus and made a number of contributions in the field of integral calculus. Bhaskara realized that when dividing one by a fraction, the smaller the fraction gets, the more pieces are created. The Bijaganita The Bijaganita focuses on algebra and has twelve chapters.
These small circles then orbit the Earth or some other planetary body. Bhaskara viewed the solar system as being heliocentric it revolves around the sun and the planets have an elliptical orbit. An armillary sphere is a model showing the globe. The only way to prevent the death was to make sure that the marriage happened exactly at a specific time.
An epicycle model means that some planets, for example, the sun and the moon, move in small circles. At first glance this might seem to be correct, but when looked at from the terms of multiplication, it becomes obvious that it is wrong. Syzygy is the alignment of three celestial bodies into an almost straight line.
Bhaskara based his astronomy on the earlier work by Aryabhata.
Bhaskara then warned Lilavati to stay away from the cup. The Ganitadhyaya deals with mathematical astronomy. He also goes by the name of Bhaskara or Biijaganita, which means Bhaskara the Teacher.
In addition to his work on positive and negative numbers, Bhaskara also looked methods to determine unknown quantities and did more work on the number zero. The book was written in A.
He also studied and wrote about astronomy. He placed the cup in the water so that it would sink at the exact time Lilavati was supposed to get married.