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Al-Karajī

Also found as al-Karaji

Al-Karaji developed algebra after the work of al-Khwarizmi.

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Giving unknown numbers a set of rules

Ages 7–9

Al-Karaji developed algebra after the work of al-Khwarizmi.

His work treated algebraic quantities using operations such as multiplication.

He described powers such as x, x squared, and x cubed, and rules for multiplying them.

A school of algebra developed around his work, and later scholars such as al-Samawal continued it.

PAUSE & WONDER

How can one rule describe many different number examples?

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Find Al-Karaji in our books

Use the printed page in a physical book, or the PDF page in your copy. Open a reference for the surrounding text.

1001 Inventions

Edited by Salim T. S. al-Hassani

4 reading locations

Printed p. 84 PDF p. 87Reading page

“…by the successor of Al-Khwarizmi, a man called Al-Karaji, born in 953. He is seen by many as the fi.rst person to free algebra completely from geometrical operations, and to replace it with…”

Text around a matching name in the supplied edition. Extraction may retain spelling or spacing errors.
Printed p. 87 PDF p. 90Reading page

“…of the binomial theorem for integer exponents by Al-KaraJi was a major factor in the development of numerical analysis based on the decimal system. In the 14th century, Al-Kashi contributed to the development…”

Text around a matching name in the supplied edition. Extraction may retain spelling or spacing errors.
Printed p. 118 PDF p. 121Reading page

“…being revolutionized. Eleventh-century Persian mathematician and engineer Muhammad al-Karaji talked about "the bringing to the surface of hidden waters." He also covered surveying instruments, methods of detecting sources of water, and instructions for…”

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Printed p. 315 PDF p. 318Biographical entry

“…(ca 1260-1319 ); Tabriz, Iran; mathematician and physicist. Al-Karaji, Abu Bekr ibn Mu hammad ibn alHusayn, also known as Al-Karkhi (953-1029); Baghdad, Iraq; mathematician and engineer. He wrote the Al-Fakhri. Al-Kashghari, Mahmud (1073);…”

Text around a matching name in the supplied edition. Extraction may retain spelling or spacing errors.
FROM THE RESEARCH ARCHIVE

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Algebraic work discussed through the influence of Abū Kāmil.

This summary comes from the collected Islamic Scientific Heritage posts. It has not been independently verified in full. A book name match alone does not confirm every claim in a post.

Research note: The captured mention does not specify an individual theorem or work.

1 original research post

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