Latinized versions of his name and of his most famous book title live on in the terms algorithm and algebra. In fact, the words algorithm and algebra come from his name and the title of one of his works, respectively. He wrote a book on algebra from whose title the word algebra is derived, and he wrote a book on calculation that introduced to Europe the Hindu-Arabic numerals and how to do arithmetic with them. His mathematical books introduced the ideas of algebra and Hindu-Arabic numerals to Western mathematicians during the Middle Ages.
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Latinized versions of his name and of his most famous book title live on in the terms algorithm and algebra. In fact, the words algorithm and algebra come from his name and the title of one of his works, respectively.
He wrote a book on algebra from whose title the word algebra is derived, and he wrote a book on calculation that introduced to Europe the Hindu-Arabic numerals and how to do arithmetic with them. His mathematical books introduced the ideas of algebra and Hindu-Arabic numerals to Western mathematicians during the Middle Ages. His scientific works concerned geography and astronomy.
The House of Wisdom acquired and translated scientific and philosophic treatises , particularly Greek, as well as publishing original research. Algebra is a compilation of rules, together with demonstrations, for finding solutions of linear and quadratic equations based on intuitive geometric arguments, rather than the abstract notation now associated with the subject.
Its systematic, demonstrative approach distinguishes it from earlier treatments of the subject. It also contains sections on calculating areas and volumes of geometric figures and on the use of algebra to solve inheritance problems according to proportions prescribed by Islamic law. Elements within the work can be traced from Babylonian mathematics of the early 2nd millennium bce through Hellenistic, Hebrew, and Hindu treatises.
From the name of the author, rendered in Latin as Algoritmi, originated the term algorithm. This work included a table of sines, evidently for a circle of radius units. Like his treatises on algebra and Hindu-Arabic numerals, this astronomical work or an Andalusian revision thereof was translated into Latin. Article Media. Info Print Cite. Submit Feedback. Thank you for your feedback. Home Science Mathematics. See Article History. Top Questions. Get exclusive access to content from our First Edition with your subscription.
Subscribe today. Learn More in these related Britannica articles:. Numerals and numeral systems , symbols and collections of symbols used to represent small numbers, together with systems of rules for representing larger numbers.
Just as the first attempts at writing came long after the development of speech, so the first efforts at the graphical representation of numbers came long after people…. Working in the House of Wisdom, he introduced Indian material in his astronomical works and also wrote an early book explaining Hindu arithmetic, the Book of Addition and Subtraction According to the Hindu Calculation. In another work, the Book of Restoring… …. History at your fingertips.
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Muhammad ibn Musa al-Khwarizmi
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He oversaw the translation of the major Greek and Indian mathematical and astronomy works including those of Brahmagupta into Arabic, and produced original work which had a lasting influence on the advance of Muslim and after his works spread to Europe through Latin translations in the 12th Century later European mathematics. Perhaps his most important contribution to mathematics was his strong advocacy of the Hindu numerical system, which Al-Khwarizmi recognized as having the power and efficiency needed to revolutionize Islamic and Western mathematics. The Hindu numerals 1 — 9 and 0 — which have since become known as Hindu-Arabic numerals — were soon adopted by the entire Islamic world. Al-Khwarizmi wanted to go from the specific problems considered by the Indians and Chinese to a more general way of analyzing problems, and in doing so he created an abstract mathematical language which is used across the world today. His book is considered the foundational text of modern algebra , although he did not employ the kind of algebraic notation used today he used words to explain the problem, and diagrams to solve it. In particular, Al-Khwarizmi developed a formula for systematically solving quadratic equations equations involving unknown numbers to the power of 2, or x 2 by using the methods of completion and balancing to reduce any equation to one of six standard forms, which were then solvable. Al-Khwarizmi is usually credited with the development of lattice or sieve multiplication method of multiplying large numbers, a method algorithmically equivalent to long multiplication.
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