OMAR ALKHAYYAM
OMAR ALKHAYYAM
(10441123 C.E.)
Ghiyath alDin Abul Fateh Omar Ibn Ibrahim alKhayyam was born at Nishapur,
the provincial capital of Khurasan around 1044 C.E. (c. 1038 to 1048). Persian
mathematician, astronomer, philosopher, physician and poet, he is commonly known
as Omar Khayyam. Khayyam means the tentmaker, and although generally considered
as Persian, it has also been suggested that he could have belonged to the
Khayyami tribe of Arab origin who might have settled in Persia. Little is known
about his early life, except for the fact that he was educated at Nishapur and
lived there and at Samarqand for most of his life. He was a contemporary of
Nidham alMulk Tusi. Contrary to the available opportunities, he did not like to
be employed at the King's court and led a calm life devoted to search for
knowledge. He traveled to the great centers of learning, Samarqand, Bukhara,
Balkh and Isphahan in order to study further and exchange views with the
scholars there. While at Samarqand he was patronized by a dignitary, Abu Tahir.
He died at Nishapur in 112324.
Algebra would seem to rank first among the fields to which he contributed. He
made an attempt to classify most algebraic equations, including the third
degree equations and, in fact, offered solutions for a number of them. 'This
includes geometric' solutions of cubic equations and partial geometric solutions
of most other equations. His book Maqalat fi alJabr wa alMuqabila is a
master piece on algebra and has great importance in the development of algebra.
His remarkable classification of equations is based on the complexity of the
equations, as the higher the degree of an equation, the more terms, or
combinations of terms, it will contain. Thus, Khayyam recognizes 13 different
forms of cubic equation. His method of solving equations is largely geometrical
and depends upon an ingenious selection of proper conics. He also developed the
binomial expansion when the exponent is a positive integer. In fact, he has been
considered to be the first to find the binomial theorem and determine binomial
coefficients. In geometry, he studied generalities of Euclid and contributed to
the theory of parallel lines.
The Saljuq Sultan, Malikshah Jalal alDin, called him to the new observatory
at Ray around 1074 and assigned him the task of determining a correct solar
calendar. This had become necessary in view of the revenue collections and other
administrative matters that were to be performed at different times of the year.
Khayyam introduced a calendar that was remarkably accurate, and was named as
AlTarikhalJalali. It had an error of one day in 3770 years and was
thus even superior to the Georgian calendar (error of 1 day in 3330 years).
His contributions to other fields of science include a study of generalities
of Euclid, development of methods for the accurate determination of specific
gravity, etc. In metaphysics, he wrote three books Risala Dar Wujud and
the recently discovered Nauruz namah. He was also a renowned astronomer
and a physician.
Apart from being a scientist, Khayyam was also a wellknown poet. In this
capacity, he has become more popularly known in the Western world since 1839,
when Edward Fitzgerald published an English translation of his Rubaiyat
(quatrains). This has since become one of the most popular classics of world
literature. It should be appreciated that it is practically impossible to
exactly translate any literary work into another language, what to talk of
poetry, especially when it involves mystical and philosophical messages of deep
complexity. Despite this, the popularity of the translation of Rubaiyat
would indicate the wealth of his rich thought.
Khayyam wrote a large number of books and monographs in the above areas. Out
of these, 10 books and thirty monographs have been identified. Of these, four
concern mathematics, three physics, three metaphysics, one algebra and one
geometry.
His influence on the development of mathematics in general and analytical
geometry, in particular, has been immense. His work remained ahead of others for
centuries till the times of Descartes, who applied the same geometrical approach
in solving cubics. His fame as a mathematician has been partially eclipsed by
his popularity as a poet; nonetheless his contribution as a philosopher and
scientist has been of significant value in furthering the frontiers of human
knowledge.
