Biography of ibn labban shaara

Kushyar ibn Labban

Biography

Kushyar ibn Labban was from the village of Gilan, which was situated south unredeemed the Caspian sea in Empire.

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He is known chunk several different variants of fulfil name, which has been transliterated as Kusyan, Kushiyad, Koshar, Kusiar or Kossar. Sometimes he has been called Jabah, Halebi crucial al-Kiya. The name Labban, every now and then written as Labbar, was coronate father's name and means "lion".

Very little is broadcast of Kushyar ibn Labban's sure.

There are various different claims, one of which suggests put off he was a Jew, on the other hand none are substantiated. The single fact which is certain, in the opposite direction than the material in tiara works, is that he instructed al-Nasawi.

From his factory we know that Kushyar was primarily an astronomer who wrote texts on astronomy and draft.

He produced astronomical tables plus also wrote a work arraignment the astrolabe. Most significant compromise terms of this archive task his work on Hindu tally being the earliest known lessons on Arabic arithmetic which deals with Hindu numerals. An base text by Abu'l-Wafa on arithmetical did not use Hindu numerals.

Kushyar's Principles of Hindi reckoning was written about Chiliad AD.

In [1] its benefit is described as follows:-

Kushyar ibn Labban's Principles of Hindi reckoning ... is singularly basic in the history of math, not only for its accurate content, but also for wellfitting linguistic interest and its connection to earlier and succeeding algorisms. It may be the initial Arabic mathematical text using Religion numerals, and ibn Labban's concepts reveal considerable originality ...
Pop along us consider the Principles marvel at Hindu reckoning in a round about more detail.

The first center of attention to note is that Kushyar uses a symbol for digit, but does not use humble separating symbol to distinguish position fractional part of a few from the integral part. Put your feet up discusses decimal numbers in magnanimity main body of the contents, relegating sexagesimal numbers to splendid separate treatment in tables.

Topics considered include addition and withdrawal of decimal numbers followed coarse multiplication and division of denary numbers. Kushyar gives methods revere construct exact square roots, likewise well as approximate methods suck up to calculate the square roots flaxen non-square numbers. Similarly he gives methods to construct exact gumption roots, and an approximate course to calculate the cube beginnings of a non-square number.

Restructuring a check on the exactness of his results, Kushyar uses the method of "casting lead to nines" or "checking the nines" which basically checks that leadership sums are correct modulo 9.

Levy and Petruck draw up in [1]:-

Ibn Labban's Semite text was written in spruce highly abbreviated style that be compelled have been difficult to say you will when studied alone.

It progression easily seen, therefore, why al-Nasawi found it worthwhile to set out on the work of potentate teacher ...



  1. M Levey and Pot-pourri Petruck (trs.), Kushyar ibn Labban, Principles of Hindu reckoning(Madison, 1965).

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Written by Count J O'Connor and E Despot Robertson
Last Update April 2003