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VIIth century

VIIIth century
700s - [petroleum; civil engineering] The streets of the newly constructed Baghdad are paved with tar, coming from the petroleum that oozes in natural oil fields in the region.
700s - 800s - [cosmetics] Ziriyab (Blackbird) starts a beauty institute in Spain.
740 - 828 - [] Al-Ama'i, Zoology, Botany, Animal Husbandry.
770 - 840 - [mathematics] Kharazmi (Persian: خوارزمي, in Arabic became الخوارزمي al-Khwarizmi, Latinized name, Algorithm). Developed the "calculus of resolution and juxtaposition" (hisab al-jabr w'al-muqabala), more briefly referred to as al-jabr, or algebra. [1] gives an idea on the utility of this development: "Algebra was a unifying theory which allowed rational numbers, irrational numbers, geometrical magnitudes, etc., to all be treated as "algebraic objects". It gave mathematics a whole new development path so much broader in concept to that which had existed before, and provided a vehicle for future development of the subject. Another important aspect of the introduction of algebraic ideas was that it allowed mathematics to be applied to itself in a way which had not happened before. As Rashed writes in [2] (see also [3]):- Al-Khwarizmi's successors undertook a systematic application of arithmetic to algebra, algebra to arithmetic, both to trigonometry, algebra to the Euclidean theory of numbers, algebra to geometry, and geometry to algebra. This was how the creation of polynomial algebra, combinatorial analysis, numerical analysis, the numerical solution of equations, the new elementary theory of numbers, and the geometric construction of equations arose."
776 - 868 - [zoology; language] 'Amr ibn Bahr Al-Jahiz. Zoology, Arabic grammar, rhetoric, lexicography.
late 700s - early 800s - [music] Mansour Zalzal of Kufa. Musician (luth) and composer of the Abbasid era. Contributed musical scales that were later named after him (the Mansouri scale) and introduced positions (intervals) within scales such as the wasati-zalzal that was equidistant from the alwasati alqadima and wasati al-fors. Made improvements on the design of the luth instrument and designed the Luth. Teacher of Is-haq al-Mawsili.

IXth century
800 - 873 - [various] Ibn Ishaq Al-Kindi (latinized, Alkindus.) Philosophy, Physics, Optics, Medicine, Mathematics, Cryptography, Metallurgy. Worked at the House of Wisdom which was set up in 810.
803 - [chemistry; glass] d. Abu-Moussa Jabir ibn Hayyan (Latinized name, Geber,). Famous Persian chemist. First chemist known to produce sulfuric acid, as well as many other chemicals and instruments. Wrote on adding color to glass by adding small quantities of metallic oxides to the glass, such as manganese dioxide (magnesia). This was a new advancement in glass industry unknown in antiquity. His works include "The elaboration of the Grand Elixir"; "The chest of wisdom" in which he writes on nitric acid; Kitab al-istitmam (translated to Latin later as Summa Perfectionis); and others.
ca. 810 Bayt al-Hikma (House of Wisdom) set up in Baghdad. There Greek and Indian mathematical and astronomy works are translated into Arabic.
820 - [mathematics] Mahani (full name Abu Abdollah Muhammad ibn Isa Mahani - in Arabic Al-Mahani). Conceived the idea of reducing geometrical problems such as duplicating the cube to problems in algebra. [1]
836 - 901 [anatomy; astronomy; mathematics; mechanics] Born Thabit Ibn Qurra (latinized, Thebit.) Studied at Baghdad's House of Wisdom under the Banu Musa brothers. Made many contributions to mathematics, particularly in geometry and number theory. He discovered the theorem by which pairs of amicable numbers can be found; i.e., two numbers such that each is the sum of the proper divisors of the other.[1] Later, al-Baghdadi (b. 980) and al-Haytham (born 965) developed variants of the theorem.
838 - 870 - Tabari (full name: Ali ibn Sahl Rabban Al-Tabari). Medicine, Mathematics, Calligraphy, Literature. [4]
mid 800s - [chemistry] Al-Kindi writes on the distillation of wine as that of rose water and gives 107 recipes for perfumes, in his book Kitab Kimia al-`otoor wa al-tas`eedat (book of the chemistry of perfumes and distillations.)
850 - 930 [mathematics] born Abu Kamil of Egypt (full name, Abu Kamil Shuja ibn Aslam ibn Muhammad ibn Shuja) Forms an important link in the development of algebra between al-Khwarizmi and al-Karaji. Despite not using symbols, but writing powers of x in words, he had begun to understand what we would write in symbols as .[1]
858 - 929 - [astronomy - mathematics] Al-Battani (Albategnius) Works on astronomy, trigonometry etc.
ca. 860 - Al-Farghani (Al-Fraganus) Astronomy, Civil engineering.
864 - 930 - [chemistry; medicine; ...] Razi (Rhazes) Medicine, Ophthalmology, Smallpox, Chemistry, Astronomy. Al-Razi wrote on Naft (naphta or petroleum) and its distillates in his book "Kitab sirr al-asrar" (book of the secret of secrets.) When choosing a site to build Baghdad's hospital, he hung pieces of fresh meat in different parts of the city. The location where the meat took the longest to rot was the one he chose for building the hospital. Advocated that patients not be told their real condition so that fear or despair do not affect the healing process. Wrote on alkali, caustic soda, soap and glycerine. Gave descriptions of equipment processes and methods in his book Kitab al-Asrar (book of secrets) in 925.
870 - 950 - Farabi (Al-Pharabius) Sociology, Logic, Philosophy, Political science, Music.
888 - [various] Died 'Abbas Ibn Firnas. Mechanics of Flight, Planetarium, Artificial Crystals. Ibn Firnas investigated means of flight and was apparently injured due to a trial in which he attempted to fly off of a cliff using wings. One of the earliest records of attempts at flight.
800s - [chemistry; petroleum] Oilfields in Baku, Azerbaijan, generate commercial activities and industry. These oilfields, were wells are dug to get the Naft (or naphta, or crude petroleum) are described by geographer Masudi in the 10th century and by Marco Polo in the 13th century, who described the output of those wells as hundreds of shiploads.

Xth century
900s [mathematics; accounting] By this century, three systems of counting are used in the Arab world. Finger-reckoning arithmetic, with numerals written entirely in words, used by the business community; the sexagesimal system, a remnant originating with the Babylonians, with numerals denoted by letters of the arabic alphabet and used by Arab mathematicians in astronomical work; and the indian numeral system, which was used with various sets of symbols [1]. Its arithmetic at first required the use of a dust board (a sort of handheld blackboard) because "the methods required moving the numbers around in the calculation and rubbing some out as the calculation proceeded." Al-Uqlidisi (born 920) modified these methods for pen and paper use [1]. Eventually the advances enabled by the decimal system led to its standard use throughout the region and the world.
903 - 986 [astronomy] Al-Sufi (latinized name, Azophi).
920 [mathematics] Born al-Uqlidisi. Modified arithmetic methods for the Indian numeral system to make it possible for pen and paper use. Hitherto, doing calculations with the Indian numerals necessitated the use of a dust board as noted earlier.
936 - 1013 [medicine] Al-Zahrawi (latinized name, Albucasis) Surgery, Medicine. Called the "Father of Modern Surgery." [4]
940 - 997 [astronomy; mathematics] Muhammad Al-Buzjani. Mathematics, Astronomy, Geometry, Trigonometry.
940 [mathematics] Born Abu'l-Wafa al-Buzjani. Wrote several treatises using the finger-counting system of arithmetic, and was also an expert on the Indian numerals system. About the Indian system he wrote: "[it] did not find application in business circles and among the population of the Eastern Caliphate for a long time." [1] Using the Indian numeral system, abu'l Wafa was able to extract roots.
953 [mathematics] Born al-Karaji of Karaj and Baghdad (full name, Abu Bekr ibn Muhammad ibn al-Husayn Al-Karaji or al-Karkhi). Believed to be the "first person to completely free algebra from geometrical operations and to replace them with the arithmetical type of operations which are at the core of algebra today. He was first to define the monomials x, x2, x3, ... and 1 / x, 1 / x2, 1 / x3, ... and to give rules for products of any two of these. He started a school of algebra which flourished for several hundreds of years" [1]. Discovered the binomial theorem for integer exponents. [1] states that this "was a major factor in the development of numerical analysis based on the decimal system."
957 [geography; cartography; exploration; chemistry] died Abul Hasan Ali Al-Masudi, best known as a cartographer, was also a traveler historian, etc. Al-mas`oudi described his visit to the oilfields of Baku. Wrote on the reaction of alkali water with zaj (vitriol) water giving sulfuric acid.
965 - 1040 [mathematics; optics; physics] Born ibn al-Haitham (full name, ; latinized name, Alhazen). Possibly the first to classify all even perfect numbers (i.e., numbers equal to the sum of their proper divisors) as those of the form 2k − 1(2k − 1) where 2k − 1 is prime number [1]. Al-Haytham is also the first person to state Wilson's theorem. if p is prime than 1 + (p − 1)! is divisible by p. [1] says "It is called Wilson's theorem because of a comment by Waring in 1770 that John Wilson had noticed the result. There is no evidence that Wilson knew how to prove it. ... Lagrange gave the first known proof in 1771, ... more than 750 years after al-Haytham."
972 - 1058 [humanities] Al-Mawardi (Alboacen) Political science, Sociology, Jurisprudence, Ethics.
973 - 1048 [mathematics; physics] Abu Raihan Al-Biruni; Astronomy, Mathematics. Determined Earth's circumference.
980 [mathematics] Born al-Baghdadi (full name, ). Studied a slight variant of Thabit ibn Qurra's theorem on amicable numbers.[1] Al-Baghdadi also wrote texts comparing the three systems of counting and arithmetic used in the region during this period. Made improvements on the decimal system.
981 - 1037 [astronomy; mathematics; medicine; philosophy] Ibn Sina (Avicenna); Medicine, Philosophy, Mathematics, Astronomy.Is considered to be the father of modern medicine

XIth century
1000s - [related] First wave of devastation of Muslim resources, lives, properties, institutions, and infrastructure over a period of one hundred years: Fall of Muslim Toledo (1085), Malta (1090), Sicily (1091) and Jerusalem (1099). Several Crusades.
1028 - 1087 - [astronomy] Al-Zarqali (Arzachel.) Invented the Astrolabe.
1044 or 1048 - 1123 [mathematics] Omar Al-Khayyam. Persian mathematician and poet. "Gave a complete classification of cubic equations with geometric solutions found by means of intersecting conic sections. Khayyam also wrote that he hoped to give a full description of the algebraic solution of cubic equations in a later work: 'If the opportunity arises and I can succeed, I shall give all these fourteen forms with all their branches and cases, and how to distinguish whatever is possible or impossible so that a paper, containing elements which are greatly useful in this art will be prepared.' " [1]. Extracted roots using the decimal system (the Indian numeral system). There is dispute whether the Maqamat, a famous diwan of poetry translated to English are actually his work.
1058 - 1111 [law; theology] Al-Ghazali (Algazel), judge and prolific thinker and writer on topis such as sociology, theology and philosophy. He critiqued the so-called Greek philosophers Ibn Sina, aka Avicenna and al-Farabi, aka Farabius. Wrote extensive expositions on Islamic tenets and foundations of jurisprudence. Also critiqued the Muslim scholastics (al-mutakallimun.) Was associated with sufism but he later critiqued it as well.
1091 - 1161 [medicine] Ibn Zuhr (Avenzoar) Surgery, Medicine.
1099 - 1166 [cartography;geography] Muhammad Al-Idrisi (Dreses). Among his works are a world Map and the first known globe.

XIIth century
1100 - 1166 (AH 493 - 560) [cartography, geography] Muhammad al-Idrissi, aka Idris al-Saqalli aka al-sharif al-idrissi of Andalusia and Sicily. Said to draw the first correct map of the world "lawh al-tarsim" (plank of draught). His maps were used extensively during the explorations of the era of European renaissance. Roger II of Sicily commemorated his world map on a circle of silver weighing about 400 pounds. Works include Nozhat al-mushtaq fi ikhtiraq al-&agrav;faq dedicated to Roger II of Sicily, which is a compendium of the geographic and sociologic knowledge of his time as well as descriptions of his own travels illustrated with over seventy maps; Kharitat al-`alam al-ma`mour min al-ard (Map of the inhabited regions of the earth) wherein he divided the world into 7 regions, the first extending from the equator to 23 degrees latitude, and the seventh being from 54 to 63 degrees followed by a region uninhabitable due to cold and snow.
1106 - 1138 [polymath] Abu Bakr Muhammad Ibn Yahya (Ibn Bajjah) Philosophy, Medicine, Mathematics, Astronomy, Poetry, Music.
1110 - 1185 [literature, philosophy] Abdubacer Ibn Tufayl of Spain. Philosophy, medicine, poetry, fiction. His most famous work is Hayy ibn Yaqzan, which is a spiritual investigation into the reality of the world narrated by a man who was raised from infancy by a deer.
1128 - 1198 [philosophy] Ibn Rushd (Averroes) Philosophy, Law, Medicine, Astronomy, Theology.
1130 [mathematics] Born al-Samawal. An important member of al-Karaji's school of algebra. Gave this definition of algebra: "[it is concerned] with operating on unknowns using all the arithmetical tools, in the same way as the arithmetician operates on the known." [1]
1135 [mathematics] Born Sharafeddin Tusi. Follows al-Khayyam's application of algebra of geometry, rather than follow the general development that came through al-Karaji's school of algebra. Wrote a treatise on cubic equations which [3] describes thus: "[the treatise] represents an essential contribution to another algebra which aimed to study curves by means of equations, thus inaugurating the beginning of algebraic geometry." (quoted in [1]).

XIIIth century
1200s - [related] "Second wave of devastation of Muslim resources, lives, properties, institutions, and infrastructure over a period of one hundred and twelve years. Crusader invasions (1217-1291) and Mongol invasions (1219-1329). Crusaders active throughout the Mediterranean from Jerusalem and west to Muslim Spain. Fall of Muslim Córdoba (1236), Valencia (1238) and Seville (1248). Mongols devastation from the eastern most Muslim frontier, Central and Western Asia, India, Persia to Arab heartland. Fall of Baghdad (1258) and the end of Abbasid Caliphate. Two million Muslims massacred in Baghdad. Major scientific institutions, laboratories, and infrastructure destroyed in leading Muslim centers of civilization."
1200s - [medicine; scientific method] Ibn Al-Nafis b. ca. 607AH, d. ca. 689AH. Damascene physician and anatomist. Discovered the lesser circulatory system (the cycle involving the ventricles of the heart and the lungs), and described the mechanism of breathing and its relation to the blood and how it nourishes on air in the lungs. Followed a "constructivist" path of the smaller circulatory system: "blood is purified in the lungs for the continuance of life and providing the body with the ability to work". During his time, the common view was that blood originates in the liver then travels to the right ventricle, then on to the organs of the body; another contemporary view was that blood is filtered through the diaphragm where it mixes with the air coming from the lungs. Ibn al-Nafis discredited all these views including ones by Galen and Avicenna (ibn Sina). At least an illustration of his manuscript is still extant. William Harvey explained the circulatory system without reference to ibn al-Nafis in 1628. He extolled the study of comparative anatomy in his "Explaining the dissection of [Avicenna's] Al-Qanoon" which includes a prefaces, and citations of sources. Emphasized the rigours of verification by measurement, observation and experiment. Subjected conventional wisdom of his time to a critical review and verified it with experiment and observation, discarding errors.
1200s - [chemistry] Al-Jawbari describes the preparation of rose water in the work "Book of Selected Disclosure of Secrets" (Kitab kashf al-Asrar).
1200s - [chemistry; materials; glassmaking] Arabic manuscript on the manufacture of false gemstones and diamonds. Also describes spirits of alum, spirits of saltpetre and spirits of salts (hydrochloric acid).
1200s - [chemistry] An Arabic manuscript written in syriac script gives description of various chemical materials and their properties such as sulfuric acid, sal-ammoniac, saltpetre and zaj (vitriol).
1201 - 1274 - [astronomy; mathematics] Nasir Al-Din Al-Tusi; Astronomy, Non-Euclidean geometry.
1204 [astronomy] Died, Al-Bitruji (Alpetragius.)
1207 - 1273 [sociology; poetry; spirituality] Jalal al-Din Muhammad Rumi, one of the best known persian passion poets, famous for poignant poetry on the theme of spiritual enlightenment and passion.
1213 - 1288 [anatomy] Ibn Al-Nafis al-Damishqui.
1248 - [pharmacy; veterinary medicine] Died Ibn Al-Baitar. Studied and wrote on botany, pharmacy and is best known for studying animal anatomy and medicine. The Arabic term for veterinary medicine is named after him.
1260 [mathematics] Born al-Farisi. Gave a new proof of Thabit ibn Qurra's theorem, introducing important new ideas concerning factorization and combinatorial methods. He also gave the pair of amicable numbers 17296, 18416 which have been attributed to Euler, but we know that these were known earlier than al-Farisi, perhaps even by Thabit ibn Qurra himself [1].
1273 - 1331 [astronomy; geography; history] Abu al-Fida (Abulfeda).
1277 - [materials; glass and ceramics] A treaty for the transfer of glassmaking technology signed between the crusader Bohemond VII, titular prince of Antioch and the Doge of Venice leads to the transfer of Syrian glassworkers and their trade secrets and the subsequent rise of Venetian glass industry, the most prominent in Europe for centuries. The techniques henceforth, closely guarded by Venitians only become known in France in the 1600s.

XIVth century
1301 - [ceramics] Al-Kashani promotes a center for ceramics. He also writes a book on Islamic ceramics techniques. His name is still associated with ceramics in the Muslim Orient today.
1304 - 1369 [exploration; travel] Abu Abdullah Muhammad ibn Battuta; World Traveler. 75,000 mile voyage from Morocco to China and back.
1332 - 1395 [history; political science; humanities] Ibn Khaldun. Sociology, Philosophy of History, general science, Political Science. His most famous work, al-Muqqadima (Prolegomena), encyclopedic in breadth, surveys the state of knowledge of his day, covering geography, accounts of the peoples of the world and their known history, the classification and aims of the sciences and the religious sciences.
1380 [mathematics] Born al-Kashi. According to [1], "contributed to the development of decimal fractions not only for approximating algebraic numbers, but also for real numbers such as pi. His contribution to decimal fractions is so major that for many years he was considered as their inventor. Although not the first to do so, al-Kashi gave an algorithm for calculating nth roots which is a special case of the methods given many centuries later by Ruffini and Horner."
1393 - 1449 - [astronomy] Ulugh Beg commissions an observatory at Samarqand in present-day Uzbekistan.

XVth century
1400s - 1500s - [related] Third wave of devastation of Muslim resources, lives, properties, institutions, and infrastructure. End of Muslim rule in Spain (1492). More than one million volumes of Muslim works on science, arts, philosophy and culture was burnt in the public square of Vivarrambla in Granada. Colonization began in Africa, Asia, and the Americas. Refer to "A Chronology of Muslim History Parts IV, V (e.g., 1455, 1494, 1500, 1510, 1524, and 1538)"
1400s [mathematics] Ibn al-Banna and al-Qalasadi used symbols for mathematics in the 15th century "and, although we do not know exactly when their use began, we know that symbols were used at least a century before this." [1]
1400s - [astronomy and mathematics] Ibn Masoud (Ghayyathuddin Jamshid ibn mohamed ibn mas`oud, d. 1424 or 1436.) First to use the decimal point in arithmetic. Wrote on the decimal system. First to introduce the zero (indian mathematicians had used only nine glyphs for numerals). Computed and observed the solar eclipses of 809AH, 810AH and 811AH, after being invited by Ulugh Bek, based in Samarqand to pursue his study of mathematics, astronomy and physics. His works include "The Key of arithmetics"; "Discoveries in mathematics"; "The Decimal point"; "the benefits of the zero". The contents of the Benefits of the Zero are an introduction followed by five essays: On whole number arithmetic; On fractional arithmetic; on astrology; on areas; on finding the unknowns [unknown variables]. He also wrote a "Thesis on the sine and the chord"; "thesis on the circumference" in which he found the ratio of the circumference to the [[[radius]] of a circle to the 16th decimal; "The garden of gardens" or "promenade of the gardens" describing an instrument he devised and used at the Samarqand observatory to compile an ephemeris, and for computing solar and lunar eclipses; The ephemeresis "Zayj Al-Khaqani" which also includes mathematical tables and corrections of the ephemeresis by Al-Tusi; "Thesis on finding the first degree sine"; and more.
1411 [mathematics] Al-Kashi writes Compendium of the Science of Astronomy [5].
1424 [mathematics] Al-Kashi writes Treatise on the Circumference giving a remarkably good approximation to pi in both sexagesimal and decimal forms [5].
1427 [mathematics] Al-Kashi completes The Key to Arithmetic containing work of great depth on decimal fractions. It applies arithmetical and algebraic methods to the solution of various problems, including several geometric ones and is one of the best textbooks in the whole of medieval literature [5].
1437 [mathematics] Ulugh Beg publishes his star catalogue Zij-i Sultani. It contains trigonometric tables correct to eight decimal places based on Ulugh Beg's calculation of the sine of one degree which he calculated correctly to 16 decimal places [5].

XVIth century

XVIIth century
1600s [flight; rocketry] Turkish scientist Hezarfen Ahmet Celebi took off from Galata tower and flew over the Bosphorus. Lagari Hasan Çelebi, another member of the Celebi family, sent the first manned rocket, using 150 okka (about 300 pounds) of gunpowder as the firing fuel. This is more than two hundred years before similar attempts in Modern Europe and the United States.
1600s [mathematics] The Arabic mathematician Mohammed Baqir Yazdi gave the pair of amicable numbers 9,363,584 and 9,437,056 still many years before Euler's contribution [1].

XVIIIth century
1783 - 1799 - [rocketry] Tipu, Sultan of Mysore [1783-1799] in the south of India, was an experimentator with war rockets. Two of his rockets, captured by the British at Srirangapatana, are displayed in the Woolwich Royal Artillery Museum in London. The rocket motor casing was made of steel with multiple nozzles. The rocket, 50 mm in diameter and 250 mm long, had a range performance of 900 meters to 1.5 km. (src: http://www.cyberistan.org/islamic/).

XIXth century

XXth century
1960s [mathematics; formal logic] Lotfi Zadeh of Iran develops fuzzy logic.