The compendious book on calculation by completion and balancing

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the compendious book on calculation by completion and balancing

The Compendious Book on Calculation by Completion and Balancing - WikiVisually

Mohammed ibn-Musa al-Khwarizmi was born sometime before A. He flourished as a mathematician and astronomer who was a faculty member at the "House of Wisdom" established in Baghdad by Al-Mamun. As a scholar at the House of Wisdom, al-Khwarizmi, together with his noted colleagues the Banu Musa, directed and engaged in intellectual interests ranging from algebra and geometry to astronomy and the translation of Greek scientific manuscripts lib. Al-Khwarizmi wrote numerous books that played important roles in arithematic and algebra. In his work, De numero indorum Concerning the Hindu Art of Reckoning , it was based presumably on an Arabic translation of Brahmagupta where he gave a full account of the Hindu numerals which was the first to expound the system with its digits 0,1,2,3, Because of this book with the Latin translations made a false inquiry that our system of numeration is arabic in origin. The new notation came to be known as that of al-Khwarizmi, or more carelessly, algorismi; ultimately the scheme of numeration making use of the Hindu numerals came to be called simply algorism or algorithm, a word that, originally derived from the name al-Khwarizmi, now means, more generally, any peculiar rule of procedure or operation.
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Muhammad ibn Musa al-Khwarizmi

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The book was translated into Latin in the mid 12th century under the title Liber Algebrae et Almucabola. The book is considered a foundational text in the history of the development of algebra. O'Connor and E. Robertson wrote in the MacTutor History of Mathematics archive :. Al-Khwarizmi is widely considered "the father of algebra ", though debate exists as to whether the Hellenized Babylonian mathematician Diophantus also deserves this title.

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From Wikipedia, the free encyclopedia. The term "algebra" is derived from the name of one of the basic operations with equations al-jabr, meaning "restoration", referring to adding a number to both sides of the equation to consolidate or cancel terms described in this book. A unique Arabic copy is kept at Oxford and was translated in by F. A Latin translation is kept in Cambridge. The above discussion uses modern mathematical notation for the types of problems which the book discusses. For example, for one problem he writes, from an translation.

Algebra from Arabic "al-jabr", literally meaning "reunion of broken parts" is one of the broad parts of mathematics, together with number theory, geometry and analysis. Algorism is the technique of performing basic arithmetic by writing numbers in place value form and applying a set of memorized rules and facts to the digits. In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems. Arabic influence on the Spanish language overwhelmingly dates from the Muslim rule in the Iberian Peninsula between and A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.

The Compendious Book provided an exhaustive account of solving for the positive roots of polynomial equations up to the second degree. Al-Khwarizmi's text can be seen to be distinct not only from the Babylonian tablets , but also from the Diophantus ' Arithmetica , it no longer concerns a series of problems to be resolved, but an exposition which starts with primitive terms in which the combinations must give all possible prototypes for equations, which henceforward explicitly constitute the true object of study. On the other hand, the idea of an equation for its own sake appears from the beginning and, one could say, in a generic manner, insofar as it does not simply emerge in the course of solving a problem, but is specifically called on to define an infinite class of problems. O'Connor and E. Robertson wrote in the MacTutor History of Mathematics archive :. Perhaps one of the most significant advances made by Arabic mathematics began at this time with the work of al-Khwarizmi, namely the beginnings of algebra, it is important to understand just how significant this new idea was. It was a revolutionary move away from the Greek concept of mathematics which was essentially geometry.

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