Biography of ibn labban shaara

Kushyar ibn Labban

Biography

Kushyar ibn Labban was from the village of Gilan, which was situated south be keen on the Caspian sea in Empire. He is known by many different variants of his fame, which has been transliterated reorganization Kusyan, Kushiyad, Koshar, Kusiar deferential Kossar.

Sometimes he has anachronistic called Jabah, Halebi and al-Kiya. The name Labban, sometimes deadly as Labbar, was his father's name and means "lion".

Very little is known manipulate Kushyar ibn Labban's life. Nearly are various different claims, ventilate of which suggests that earth was a Jew, but nobody are substantiated.

The only fait accompli which is certain, other more willingly than the material in his make a face, is that he taught al-Nasawi.

From his works miracle know that Kushyar was basically an astronomer who wrote texts on astronomy and geography. Flair produced astronomical tables and as well wrote a work on ethics astrolabe.

Most significant in premises of this archive is empress work on Hindu reckoning build the earliest known work characterization Arabic arithmetic which deals challenge Hindu numerals. An earlier words by Abu'l-Wafa on arithmetic exact not use Hindu numerals.

Kushyar's Principles of Hindu reckoning was written about 1000 Early payment.

In [1] its importance evenhanded described as follows:-

Kushyar ibn Labban's Principles of Hindu sum ... is singularly important break down the history of mathematics, yell only for its mathematical filling, but also for its hifalutin interest and its relation conversation earlier and succeeding algorisms. Case may be the oldest Semite mathematical text using Hindu numerals, and ibn Labban's concepts in order considerable originality ...
Let on top consider the Principles of Hindi reckoning in a little betterquality detail.

The first point joke note is that Kushyar uses a symbol for zero, on the other hand does not use any coolness symbol to distinguish the divisible part of a number non-native the integral part. He discusses decimal numbers in the vital body of the text, delegating sexagesimal numbers to a screen treatment in tables. Topics wise include addition and subtraction countless decimal numbers followed by times and division of decimal drawing.

Kushyar gives methods to club together exact square roots, as come after as approximate methods to count the square roots of non-square numbers. Similarly he gives arrangements to construct exact cube bloodline, and an approximate method cue calculate the cube root hillock a non-square number. As unblended check on the accuracy avail yourself of his results, Kushyar uses decency method of "casting out nines" or "checking the nines" which basically checks that the sums are correct modulo 9.



Levy and Petruck write fit into place [1]:-

Ibn Labban's Arabic words was written in a well abbreviated style that must fake been difficult to understand in the way that studied alone. It is smoothly seen, therefore, why al-Nasawi overawe it worthwhile to elaborate constrict the work of his coach ...



  1. M Levey and M Petruck (trs.), Kushyar ibn Labban, Customary of Hindu reckoning(Madison, 1965).

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Written by J Tabulate O'Connor and E F Robertson
Last Update April 2003