Al-Karaji
E342128
Al-Karaji was a pioneering medieval Persian mathematician known for advancing algebra, developing early forms of mathematical induction, and contributing significantly to the theory of polynomials and binomial coefficients.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Abu Bakr Muhammad ibn al-Husayn al-Karaji | 1 |
| Al-Karaji canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
Persian mathematician
ⓘ
author ⓘ engineer ⓘ mathematician ⓘ medieval mathematician ⓘ |
| activeIn | Baghdad ⓘ |
| alternativeName |
Al-Karaji
ⓘ
surface form:
Abu Bakr Muhammad ibn al-Husayn al-Karaji
al-Karkhi ⓘ |
| approximateFloruit |
early 11th century
ⓘ
late 10th century ⓘ |
| birthPlace |
Karaj
ⓘ
near Tehran ⓘ |
| citizenship | Persia ⓘ |
| contribution |
description of techniques for constructing and maintaining qanats
ⓘ
general rules for operations on polynomials of arbitrary degree ⓘ results related to sums of integer powers ⓘ use of recursive arguments akin to mathematical induction ⓘ |
| era |
Islamic Golden Age
ⓘ
medieval period ⓘ |
| ethnicGroup | Persian ⓘ |
| fieldOfWork |
algebra
ⓘ
engineering ⓘ hydrology ⓘ mathematics ⓘ |
| influenced |
development of algebra in the Islamic world
ⓘ
later Islamic mathematicians ⓘ |
| influencedBy |
Al-Khwarizmi
ⓘ
surface form:
al-Khwarizmi
earlier Islamic algebraists ⓘ |
| knownFor |
early use of mathematical induction
ⓘ
separation of algebra from geometry ⓘ systematic theory of algebraic polynomials ⓘ treatise on underground water and qanats ⓘ work on binomial coefficients ⓘ |
| languageOfWork | Arabic ⓘ |
| nameInArabic | أبو بكر محمد بن الحسن الكرجي ⓘ |
| notableWork |
Al-Badi fi’l-hisab
ⓘ
Al-Fakhri fi al-jabr wa al-muqabala ⓘ Inbat al-miyah al-khafiya ⓘ |
| occupation |
engineer
ⓘ
mathematician ⓘ |
| workSubject |
algebraic operations on polynomials
ⓘ
arithmetic of integers and fractions ⓘ binomial expansions ⓘ combinatorial coefficients ⓘ methods for extracting roots ⓘ rules for powers and exponents ⓘ underground water engineering ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Abu Bakr Muhammad ibn al-Husayn al-Karaji