CONTRIBUTIONS
Al-Khwārizmī's contributions to mathematics, geography, astronomy, and cartography established the basis for innovation in algebra and trigonometry. His systematic approach to solving linear and quadratic equations.
Some of his work was based on Persian and Babylonian astronomy, Indian numbers, and Greek mathematics.
Introduced Arabic numerals into the Latin West, based on a place-value decimal system developed from Indian sources.
1. ALGEBRA
The term algebra is derived from the name of one of the basic operations with equations (al-jabr) described in book.
The al-jabr is considered the foundational text of modern algebra. It provided an exhaustive account of solving polynomial equations up to the second degree and introduced the fundamental methods of "reduction(al-Jabr)" and "balancing(al-Muqabala)", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation.
Six standard forms (where b and c are positive integers).
2. ARITHMETIC
Al-Khwarizmi's work on arithmetic was responsible for introducing the , based on the Hindu-Arabic numeral system developed in Indian mathematics, to the Western world. The term "" is derived from the algorism, the technique of performing arithmetic with Hindu-Arabic numerals developed by al-Khwarizmi. Both "algorithm" and "algorism" are derived from the of al-Khwarizmi's name, Algoritmi and Algorismi, respectively.
Wrote two books on using and constructing astrolabes. Ibn al-Nadim in his Kitab al-Fihrist (an index of Arabic books) also mentions Kitāb ar-Ruḵāma(t) (the book on sundials) and Kitab al-Tarikh (the book of history) but the two have been lost. Several Arabic manuscripts in Berlin, Istanbul, Tashkent, Cairo and Paris contain further material that surely or with some probability comes from al-Khwārizmī.
Al-Khwārizmī's contributions to mathematics, geography, astronomy, and cartography established the basis for innovation in algebra and trigonometry. His systematic approach to solving linear and quadratic equations.
Some of his work was based on Persian and Babylonian astronomy, Indian numbers, and Greek mathematics.
Introduced Arabic numerals into the Latin West, based on a place-value decimal system developed from Indian sources.
1. ALGEBRA
The term algebra is derived from the name of one of the basic operations with equations (al-jabr) described in book.
The al-jabr is considered the foundational text of modern algebra. It provided an exhaustive account of solving polynomial equations up to the second degree and introduced the fundamental methods of "reduction(al-Jabr)" and "balancing(al-Muqabala)", referring to the transposition of subtracted terms to the other side of an equation, that is, the cancellation of like terms on opposite sides of the equation.
Six standard forms (where b and c are positive integers).
2. ARITHMETIC
Al-Khwarizmi's work on arithmetic was responsible for introducing the , based on the Hindu-Arabic numeral system developed in Indian mathematics, to the Western world. The term "" is derived from the algorism, the technique of performing arithmetic with Hindu-Arabic numerals developed by al-Khwarizmi. Both "algorithm" and "algorism" are derived from the of al-Khwarizmi's name, Algoritmi and Algorismi, respectively.
Wrote two books on using and constructing astrolabes. Ibn al-Nadim in his Kitab al-Fihrist (an index of Arabic books) also mentions Kitāb ar-Ruḵāma(t) (the book on sundials) and Kitab al-Tarikh (the book of history) but the two have been lost. Several Arabic manuscripts in Berlin, Istanbul, Tashkent, Cairo and Paris contain further material that surely or with some probability comes from al-Khwārizmī.
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