Abu Kamil Shuja ibn Aslam ibn Muhammad al-Hasib al-Misri , Arab. ابو كامل Abū Kāmil Shujā ibn Aslam ibn Muhammad , (about 850 - about 930 ) - Egyptian mathematician, author of several works that have had a great influence on the history of mathematics.
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The book on algebra and almukabala is the most important composition after algebra by al-Khorezmi . His influence affected the algebraic composition of al-Karaja , and then the Book on the Abacus of Leonardo of Pisa . In medieval Europe, this treatise was translated into Spanish, Hebrew, and Latin. Like al-Khwarizmi, Abu Kamil considers only equations of the 1st and 2nd degrees and also subdivides them into six canonical forms. The rules of the decision are explained using examples borrowed from al-Khorezmi, but when they are geometrically proved, Abu Kamil goes the other way, based on the sentences of Book II of the Principles of Euclid . It is noteworthy that, using the principles of geometric algebra, Abu Camil at the same time deviates from the principle of homogeneity: he depicts in segments and the number, and the first and second degrees of the unknown.
The book on the rarities of the art of arithmetic is devoted to solving indefinite equations in integers.
The book on the pentagon and decagon (it is possible that in the original it was called the Book of Measurement ) was not preserved in the Arabic original and is known only in Hebrew and Latin translations. Here, using algebraic methods, the sides of the inscribed and described regular pentagon and decagon are calculated. Leonardo of Pisa knew this treatise by Abu Camil and used it in his work The Practice of Geometry .
Notes
- ↑ 1 2 Akyeampong E. K. , Gates H. L. Dictionary on African Biography, افریقی سوانحی لغت - New York City : OUP , 2012 .-- ISBN 978-0-19-538207-5
Literature
Works
- Die Algebra des Abu Kamil Soga ben Aslam. Trans. J. Weinberg. München, 1935.
- The algebra of Abu Kamil "Kitab fi al-jabar wa'l mugabala" in commentary by Mordecai Finzi. Trans. M. Levey. Madison: Wisconsin UP, 1966.
About him
- Baygozhina G. O. On the principle of classification of tasks by Abu Kamil in his "Book of Uncertain Tasks". Historical and mathematical research , 1 (36), 1995, p. 61-66.
- Matvievskaya G.P. The doctrine of number in the medieval Near and Middle East . Tashkent: Fan, 1967.
- Herz-Fischler R. A mathematical history of division in extreme and mean ratio . 2 ed. NY, Dover, 1998.
- Levey M., Schub P. Indeterminate problems of Abu Kamil (850-930). Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez. Ia , 10, 1970, p. 23-96.
- Lorch R. Abu Kamil on the pentagon and decagon. Vestigia mathematica , 1993, p. 215-252.
- Sesiano J. Les methodes d'analyse indeterminee chez abu Kamil. Centaurus , 21, 1977, p. 89-105
- Sesiano J. La version latine medievale de l'Algebre d'Abu Kamil. Vestigia mathematica , Amsterdam, 1993, p. 315–452.
- Sesiano J. Le Kitab al-Misaha d'Abu Kamil. 'Centaurus , 38, 1996, p. 1-21.
- Yadegari M. The use of mathematical induction by Abu Kamil Shuja ibn Aslam (850-930). Isis , 69, 1978, p. 259-262.
Links
- John J. O'Connor and Edmund F. Robertson . Abu Kamil Shuja ibn Aslam ibn Muhammad ibn Shuja (English) - biography in the MacTutor archive.