Baron Carra de Vaux, author of the chapter on "Astronomy and Mathematics" in "The Legacy of Islam" (OUP 1931 pp. 376-398), points out that the word "algebra" is a Latinisation of the Arabic term Al-jabr (= "i.e. of complicated numbers to a simpler language of symbols)., thereby revealing the debt the world owes to the Arabs for this invention. Furthermore the numerals that are used are "Arabic numerals" not merely in name but also in fact. Above all Arabs' realisation of the value of the Hindu symbol for zero laid the foundation of all our modern computerised technology. The word "zero", like its cousin "cipher" are both attempts at transliterating the Arabic "sefr", in order to convoy into Europethe reality and the meaning of that word in Arabic.
De Vaux writes: "By using ciphers the Arabs became the founders of the arithmetic of everyday life; they mada algebra an exact science and developed it considerably; they laid the foundations of analytical geometry; they were indisputably the founders of plane and spherical trigonometry. The astrolabe (safeeha) was invented by the Arab Al-Zarqali (Arzachel) who lived in Spain AD 1029-1087. The word "algorism" is a latinisation of the name of his home province Al-Khwarizmi. The Arabs kept alive the higher intellectual life and the study of science in a period when the Christian West was fighting desperately with barbarism".
This is not the place to go further into Muslim achievements in mathimatics and astronomy. Suffice it to refer once again to the Jalali calendar of Omar Khayyam, with its formulae for exact calculation of the timing of the earth's orbits round the sun, to which reference has been made earlier.
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