18 May 2013

Thursday, 19 July 2012 05:18

Mathematician: Ibn Sina (Avicenna)

SHAFAQNA (Shia News Association) — Abu Ali al-Hussain Ibn Abdallah Ibn Sina was born in 980 C.E. at Afshana near Bukhara. The young Bu Ali received his early education in Bukhara, and by the age of ten had become well versed in the study of the Qur'an and various sciences. He started studying philosophy by reading various Greek, Muslim and other books on this subject and learnt logic and some other subjects from Abu Abdallah Natili, a famous philosopher of the time. While still young, he attained such a degree of expertise in medicine that his renown spread far and wide. At the age of 17, he was fortunate in curing Nooh Ibn Mansoor, the King of Bukhhara, of an illness in which all the well-known physicians had given up hope. On his recovery, the King wished to reward him, but the young physician only desired permission to use his uniquely stocked library.

On his father's death, Bu Ali left Bukhara and traveled to Jurjan where Khawarizm Shah welcomed him. There, he met his famous contemporary Abu Raihan al-Biruni. Later he moved to Ray and then to Hamadan, where he wrote his famous book Al-Qanun fi al-Tibb. Here he treated Shams al-Daulah, the King of Hamadan, for severe colic. From Hamadan, he moved to Isphahan, where he completed many of his monumental writings. Nevertheless, he continued traveling and the excessive mental exertion as well as political turmoil spoilt his health. Finally, he returned to Hamadan where he died in 1037 C.E.

He was the most famous physician, philosopher, encyclopaedist, mathematician and astronomer of his time. His major contribution to medical science was his famous book al-Qanun, known as the "Canon" in the West. The Qanun fi al-Tibb is an immense encyclopedia of medicine extending over a million words. It surveyed the entire medical knowledge available from ancient and Muslim sources. Due to its systematic approach, "formal perfection as well as its intrinsic value, the Qanun superseded Razi's Hawi, Ali Ibn Abbas's Maliki, and even the works of Galen, and remained supreme for six centuries". In addition to bringing together the then available knowledge, the book is rich with the author's original contribution. His important original contribution includes such advances as recognition of the contagious nature of phthisis and tuberculosis; distribution of diseases by water and soil, and interaction between psychology and health. In addition to describing pharmacological methods, the book described 760 drugs and became the most authentic materia medica of the era. He was also the first to describe meningitis and made rich contributions to anatomy, gynecology and child health.

His philosophical encyclopedia Kitab al-Shifa was a monumental work, embodying a vast field of knowledge from philosophy to science. He classified the entire field as follows: theoretical knowledge: physics, mathematics and metaphysics; and practical knowledge: ethics, economics and politics. His philosophy synthesizes Aristotelian tradition, Neoplatonic influences and Muslim theology.

Ibn Sina also contributed to mathematics, physics, music and other fields. He explained the "casting out of nines" and its application to the verification of squares and cubes. He made several astronomical observations, and devised a contrivance similar to the vernier, to increase the precision of instrumental readings. In physics, his contribution comprised the study of different forms of energy, heat, light and mechanical, and such concepts as force, vacuum and infinity. He made the important observation that if the perception of light is due to the emission of some sort of particles by the luminous source, the speed of light must be finite. He propounded an interconnection between time and motion, and also made investigations on specific gravity and used an air thermo- meter.

In the field of music, his contribution was an improvement over Farabi's work and was far ahead of knowledge prevailing else- where on the subject. Doubling with the fourth and fifth was a 'great' step towards the harmonic system and doubling with the third seems to have also been allowed. Ibn Sina observed that in the series of consonances represented by (n + 1)/n, the ear is unable to distinguish them when n = 45. In the field of chemistry, he did not believe in the possibility of chemical transmutation because, in his opinion, the metals differed in a fundamental sense. These views were radically opposed to those prevailing at the time. His treatise on minerals was one of the "main" sources of geology of the Christian encyclopaedists of the thirteenth century. Besides Shifa his well-known treatises in philosophy are al-Najat and Isharat.. — www.shafaqna.com/english/

Published in General Articles
Sunday, 15 July 2012 04:51

Mathematician: Omar al-Khayyam

SHAFAQNA (Shia News Association) — Ghiyath al-Din Abul Fateh Omar Ibn Ibrahim al-Khayyam 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 tent-maker, 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 al-Mulk 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 1123-24.

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 al-Jabr wa al-Muqabila 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 al-Din, 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 Al-Tarikh-al-Jalali. 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 well-known 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.

www.shafaqna.com/english/