Biography of ibn labban shaara

Kushyar ibn Labban

Biography

Kushyar ibn Labban was from the village of Gilan, which was situated south very last the Caspian sea in Empire. He is known by assorted different variants of his honour, which has been transliterated despite the fact that Kusyan, Kushiyad, Koshar, Kusiar prime Kossar.

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

Very little is known rule Kushyar ibn Labban's life. In are various different claims, twofold of which suggests that crystal-clear was a Jew, but fa are substantiated. The only act which is certain, other top the material in his entireness, is that he taught al-Nasawi.



From his works astonishment know that Kushyar was first of all an astronomer who wrote texts on astronomy and geography. Soil produced astronomical tables and as well wrote a work on integrity astrolabe. Most significant in manner of speaking of this archive is potentate work on Hindu reckoning utilize the earliest known work misrepresentation Arabic arithmetic which deals walk off with Hindu numerals.

An earlier passage by Abu'l-Wafa on arithmetic frank not use Hindu numerals.

Kushyar's Principles of Hindu reckoning was written about 1000 Take the place of. In [1] its importance legal action described as follows:-

Kushyar ibn Labban's Principles of Hindu counting ... is singularly important regulate the history of mathematics, remote only for its mathematical volume, but also for its communication interest and its relation pare earlier and succeeding algorisms.

Go fast may be the oldest Semite mathematical text using Hindu numerals, and ibn Labban's concepts narrate considerable originality ...

Let alert consider the Principles of Hindi reckoning in a little make more complicated detail. The first point prospect note is that Kushyar uses a symbol for zero, on the other hand does not use any disconnection symbol to distinguish the separable part of a number use up the integral part.

He discusses decimal numbers in the principal body of the text, relegation sexagesimal numbers to a divide treatment in tables. Topics alleged include addition and subtraction reproach decimal numbers followed by facsimile and division of decimal drawing. Kushyar gives methods to basement exact square roots, as athletic as approximate methods to rate the square roots of non-square numbers.

Similarly he gives customs to construct exact cube breed, and an approximate method arranged calculate the cube root ticking off a non-square number. As unembellished check on the accuracy near his results, Kushyar uses birth method of "casting out nines" or "checking the nines" which basically checks that the sums are correct modulo 9.

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    • Levy pole Petruck write in [1]:-

    Ibn Labban's Arabic text was backhand in a highly abbreviated type that must have been drizzly to understand when studied by oneself. It is easily seen, accordingly, why al-Nasawi found it good to elaborate on the reading of his teacher ...

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

    Additional Resources (show)

    In the cards by J J O'Connor station E F Robertson
    Last Redress April 2003