Bijaganita was Indian mathematician Bhāskara II’s treatise on algebra. It is the second volume of his main work Siddhānta Shiromani, Sanskrit for “Crown of. Bhaskaracharya, or Bhaskara II, is regarded almost without question as the greatest His work Bijaganita is effectively a treatise on algebra and contains the. Bhaskara II Knew x^2 had 2 solutions *; Had studied Pell’s equation and other Diophantine Lilavati (mathematics); Bijaganita (algebra); Siddhantasiromani.

Author: | Zulugul Dozahn |

Country: | Uzbekistan |

Language: | English (Spanish) |

Genre: | Environment |

Published (Last): | 8 July 2017 |

Pages: | 339 |

PDF File Size: | 1.46 Mb |

ePub File Size: | 10.16 Mb |

ISBN: | 408-2-42122-352-8 |

Downloads: | 62040 |

Price: | Free* [*Free Regsitration Required] |

Uploader: | Kigagis |

Retrieved from ” https: He was perhaps the first to conceive the differential coefficient and differential calculus. In this book, Bhaskara wrote about his discovery that each positive number can have both a positive square root and a negative square root.

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. The topics such as: During the rise of Buddhism and Jainism after bcethe connection between mathematical and religious thought persisted.

He knew about the sine table and relationships between various trigonometric functions. Some historians of mathematics have deplored these aspects of the Indian tradition, seeing in them merely a bhasskara of rote memorization and an inability to distinguish between true and false results. Bhaskara and his bijagankta represent a significant contribution to mathematical and astronomical knowledge in gijaganita 12th century. 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.

It is broken into thirteen chapters and covers areas such as the nature of a sphere and the armillary sphere. Walter Eugene Clark David Pingree. Bhaskara also covered cosmography, geography and the seasons.

Indian mathematics Social history of India Science and technology in India 12th-century books. This suggests that the quantitative result of dividing by zero was considered to be an infinite amount, possibly reflecting greater sophistication of these concepts in the more advanced Bijaganita.

Byaskara covered a number of other topics in Lilavati as well, such as trigonometry and mensuration, and even included a number of problems that readers of the book could work on.

Bhaskara looked at different methods to perform calculations, such as multiplication and squaring, and he also wrote about the rule of three. His Writings Bhaskara wrote a number of books bhhaskara the work that has had the most influence in the mathematics field is the Siddhanta Siromani Crown of Treatises.

## Bhāskara II

He also discussed astronomical bijaganitaa and the difficulties involved with making astronomical calculations. Meanwhile, in the northern parts of India, invasion, war, and religious and caste exclusivity did not prevent a blending of Indian and Islamic mathematics in encounters between astronomers, particularly at the imperial Mughal courts. In fact, half of his most famous work dealt with mathematical astronomy.

He also looked at both lunar and solar eclipses. While she was looking at the device, a pearl from her dress fell into the cup and blocked the hole. Please note that our editors may make some formatting changes or correct spelling bhskara grammatical errors, and may also contact you if any clarifications are needed.

He also goes by the name of Bhaskara or Bhaskaracharya, which means Bhaskara the Teacher. He also looked at both lunar and solar eclipses. Computer once meant a person who…. Although members of different schools frequently criticized the astronomical parameters and techniques preferred by their rivals, their fundamental mathematical knowledge was largely the same.

Bhaskara is famous for a number of innovations in mathematics. Mathematics in the 19th and 20th centuries.

### Indian mathematics |

Little is known of these authors. Bhaskara’s arithmetic text Leelavati covers the topics of definitions, arithmetical terms, interest computation, arithmetical and geometrical progressions, plane geometrysolid geometrythe 22 of the gnomonmethods to solve indeterminate equations, and combinations.

An armillary sphere is a model showing the globe.

The book deals with definitions and terms as well as looking at the properties of zero. Send web address of old books pdg. Computer, device for processing, storing, and displaying information. Bhaskara also discovered spherical trigonometry.

The beginnings of infinitesimal calculus and mathematical analysis can be seen in his work. The recorded rules also indicate knowledge of geometric fundamentals such as the Pythagorean theoremvalues for the ratio of the circumference of a circle to its diameter i. Bbhaskara content and organization of the topics varies somewhat from one work to another, each author having his own ideas of what concepts should be stressed.

### Bijaganita – Wikipedia

Evidence suggests Bhaskara was acquainted with some ideas of differential calculus. The practice of writing a square cross after a negative number was generally replaced by that of putting a dot over it. The people who left these traces of their thinking about numbers were members of the Brahman class, priestly functionaries employed in the preparation and celebration of the various ritual bhaskkara. Bhaskara was head of an astronomical observatory at Ujjain, the bjaskara mathematical centre of ancient India.

Bhaskara looked at the mean longitudes and the true longitudes of the planets as well as latitudes. This would mean that all numbers are the same, which is obviously not true. At the bottom of the article, feel free to list any sources that support your changes, so binaganita we can fully understand their context.