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Ibn Fallus
Shams ad-Dīn Abû’t-Tāhir Ismāʽīl ibn-Ibrāhīm ibn-Ġāzī ibn-ʽAlī ibn Muhammad al-Ḥanafī al-Māridīnī (1194–1252), often called Ismāʽīl ibn-Fullūs or Ibn Fallus, was an Arab Egyptian mathematician of the Islamic Golden Age. Whilst on pilgrimage to Mecca, he tells of an epitome he wrote on number theory (extant in manuscript), which building on the work of Nicomachus, added three new perfect numbers (33,550,336; 8,589,869,056; and 137,438,691,328) to the four already discovered by the Greeks. His table also included seven other supposed perfect numbers which are now known to be incorrect. Roshdi Rashed believes the errors emerged from over-reliance on Nicomachus' method. This work did not reach Europe, and the three perfect numbers were only rediscovered there during the Renaissance, including by Pietro Cataldi.Scott, Paul"Just Perfect, part 2" ''The Australian Mathematics Teacher'', vol. 63, no. 2. p. 3. Further reading * Ismāʽīl ibn-FullūsIʽdād a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mardin
Mardin (; ; romanized: ''Mārdīn''; ; ) is a city and seat of the Artuklu District of Mardin Province in Turkey. It is known for the Artuqids, Artuqid architecture of its old city, and for its strategic location on a rocky hill near the Tigris River. The old town of the city is under the protection of UNESCO, which forbids new constructions to preserve its façade. The city had a population of 129,864 in 2021. The population is a mix of Kurds, Arabs, Mhallami, and Assyrian people, Assyrians. History Antiquity and etymology A legal document from Neo-Assyrian period has one mention of a road leading to Mardiānê - which is believed to be modern-day Mardin - indicating that the name has roots dating back to at least the Neo-Assyrian period. The city survived into the Syriac Christian period as the name of Mount Izla on which in the early 4th century stood the monastery of Nisibis, housing seventy monks. In the Roman period, the city itself was known as ''Marida'' (''Merid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arab Egyptians
Egyptians (, ; , ; ) are an ethnic group native to the Nile, Nile Valley in Egypt. Egyptian identity is closely tied to Geography of Egypt, geography. The population is concentrated in the Nile Valley, a small strip of cultivable land stretching from the Cataracts of the Nile, First Cataract to the Mediterranean Basin, Mediterranean and enclosed by desert both to the Eastern Desert, east and to the Western Desert (North Africa), west. This unique geography has been the basis of the DNA history of Egypt, development of Egyptian society since Ancient Egypt, antiquity. The daily language of the Egyptians is a continuum of the local variety of Arabic, varieties of Arabic; the most famous dialect is known as Egyptian Arabic or ''Masri''. Additionally, a sizable minority of Egyptians living in Upper Egypt speak Sa'idi Arabic. Egyptians are predominantly adherents of Sunni Islam with a small Shia minority and a significant proportion who follow native Sufi tariqah, orders.Hoffman, Val ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Islamic Golden Age
The Islamic Golden Age was a period of scientific, economic, and cultural flourishing in the history of Islam, traditionally dated from the 8th century to the 13th century. This period is traditionally understood to have begun during the reign of the Abbasid Caliphate, Abbasid caliph Harun al-Rashid (786 to 809) with the inauguration of the House of Wisdom, which saw Ulama, scholars from all over the Muslim world flock to Baghdad, the world's largest city at the time, to translate the known world's classical knowledge into Arabic and Persian language, Persian. The period is traditionally said to have ended with the collapse of the Abbasid caliphate due to Mongol invasions and conquests, Mongol invasions and the Siege of Baghdad (1258), Siege of Baghdad in 1258. There are a few alternative timelines. Some scholars extend the end date of the golden age to around 1350, including the Timurid Renaissance within it, while others place the end of the Islamic Golden Age as late as the en ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mecca
Mecca, officially Makkah al-Mukarramah, is the capital of Mecca Province in the Hejaz region of western Saudi Arabia; it is the Holiest sites in Islam, holiest city in Islam. It is inland from Jeddah on the Red Sea, in a narrow valley above sea level. Its metropolitan population in 2022 was 2.4million, making it the List of cities in Saudi Arabia by population, third-most populated city in Saudi Arabia after Riyadh and Jeddah. Around 44.5% of the population are Saudis, Saudi citizens and around 55.5% are Muslim world, Muslim foreigners from other countries. Pilgrims more than triple the population number every year during the Pilgrimage#Islam, pilgrimage, observed in the twelfth Islamic calendar, Hijri month of . With over 10.8 million international visitors in 2023, Mecca was one of the ten List of cities by international visitors, most visited cities in the world. Mecca is generally considered "the fountainhead and cradle of Islam". Mecca is revered in Islam as the birthp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Epitome
An epitome (; , from ἐπιτέμνειν ''epitemnein'' meaning "to cut short") is a summary or miniature form, or an instance that represents a larger reality, also used as a synonym for embodiment. Epitomacy represents "to the degree of." An abridgment differs from an epitome in that an abridgment is made of selected quotations of a larger work; no new writing is composed, as opposed to the epitome, which is an original summation of a work, at least in part. Many documents from the Ancient Greek and Roman worlds survive now only "in epitome," referring to the practice of some later authors (epitomators) who wrote distilled versions of larger works now lost. Some writers attempted to convey the stance and spirit of the original, while others added further details or anecdotes regarding the general subject. As with all secondary historical sources, a different bias not present in the original may creep in. Documents surviving in epitome differ from those surviving only as f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example, rational numbers), or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study of Complex analysis, analytical objects, such as the Riemann zeta function, that encode properties of the integers, primes or other number-theoretic objects in some fashion (analytic number theory). One may also study real numbers in relation to rational numbers, as for instance how irrational numbers can be approximated by fractions (Diophantine approximation). Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicomachus
Nicomachus of Gerasa (; ) was an Ancient Greek Neopythagorean philosopher from Gerasa, in the Roman province of Syria (now Jerash, Jordan). Like many Pythagoreans, Nicomachus wrote about the mystical properties of numbers, best known for his works ''Introduction to Arithmetic'' and ''Manual of Harmonics'', which are an important resource on Ancient Greek mathematics and Ancient Greek music in the Roman period. Nicomachus' work on arithmetic became a standard text for Neoplatonic education in Late antiquity, with philosophers such as Iamblichus and John Philoponus writing commentaries on it. A Latin paraphrase by Boethius of Nicomachus's works on arithmetic and music became standard textbooks in medieval education. Life Little is known about the life of Nicomachus except that he was a Pythagorean who came from Gerasa. His ''Manual of Harmonics'' was addressed to a lady of noble birth, at whose request Nicomachus wrote the book, which suggests that he was a respected schola ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perfect Number
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28. The first four perfect numbers are 6 (number), 6, 28 (number), 28, 496 (number), 496 and 8128 (number), 8128. The sum of proper divisors of a number is called its aliquot sum, so a perfect number is one that is equal to its aliquot sum. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors; in symbols, \sigma_1(n)=2n where \sigma_1 is the sum-of-divisors function. This definition is ancient, appearing as early as Euclid's Elements, Euclid's ''Elements'' (VII.22) where it is called (''perfect'', ''ideal'', or ''complete number''). Euclid also proved a formation rule (IX.36) whereby \frac is an even perfect number whenever q ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roshdi Rashed
Roshdi Rashed (Arabic: رشدي راشد), born in Cairo in 1936, is a mathematician, philosopher and historian of science, whose work focuses largely on mathematics and physics of the medieval Arab world. His work explores and illuminates the unrecognized Arab scientific tradition, being one of the first historians to study in detail the ancient and medieval texts, their journey through the Eastern schools and courses, their immense contributions to Western science, particularly in regarding the development of algebra and the first formalization of physics. Biography Roshdi Rashed is the author of several books and scientific articles in History of Science. He is currently Emeritus Director of Research (special class) at CNRS (France). He was director of the Centre for History of Arab and Medieval Science and Philosophies (until 2001) Paris, and also director of the doctoral formation in epistemology and history of science, Paris Diderot University (until 2001). He is Emeritus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Renaissance
The Renaissance ( , ) is a Periodization, period of history and a European cultural movement covering the 15th and 16th centuries. It marked the transition from the Middle Ages to modernity and was characterized by an effort to revive and surpass the ideas and achievements of classical antiquity. Associated with great social change in most fields and disciplines, including Renaissance art, art, Renaissance architecture, architecture, politics, Renaissance literature, literature, Renaissance exploration, exploration and Science in the Renaissance, science, the Renaissance was first centered in the Republic of Florence, then spread to the Italian Renaissance, rest of Italy and later throughout Europe. The term ''rinascita'' ("rebirth") first appeared in ''Lives of the Artists'' () by Giorgio Vasari, while the corresponding French word was adopted into English as the term for this period during the 1830s. The Renaissance's intellectual basis was founded in its version of Renaiss ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pietro Cataldi
Pietro Antonio Cataldi (15 April 1548, Bologna – 11 February 1626, Bologna) was an Italian mathematician. A citizen of Bologna, he taught mathematics and astronomy and also worked on military problems. His work included the development of simple continued fractions and a method for their representation. He was one of many mathematicians who attempted to prove Euclid's fifth postulate. Cataldi discovered the sixth and seventh perfect numbers by 1588.Caldwell, Chris''The largest known prime by year'' His discovery of the 6th, that corresponding to p=17 in the formula Mp=2p-1, exploded a many-times repeated number-theoretical myth that the perfect numbers had units digits that invariably alternated between 6 and 8. (Until Cataldi, 19 authors going back to Nicomachus are reported to have made the claim, with a few more repeating this afterward, according to L.E.Dickson's '' History of the Theory of Numbers''). Cataldi's discovery of the 7th (for p=19) held the record for the lar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
