Al Khwarizmi: The Beginnings of Algebra

(Hardback)

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Al-Khwarizmi was a mathematician, astronomer and geographer. He worked most of his life as a scholar in the House of Wisdom in Baghdad during the first half of the 9th century and is considered by many to be the father of algebra. His Algebra (Kitab al-Jabr wa-al-muqabala), written around 820, was the first scientific text in history to systematically present algebra as a mathematical discipline that is independent of geometry and arithmetic. This groundbreaking work is divided into two main sections: one dealing with algebraic theory, and the other focusing on the calculation of inheritances and legacies. Al-Khwarizmi's book laid down the groundwork for a scientific field where mathematics and juridical learning meet, which was furthermore developed through the efforts of successive generations of mathematicians and jurists. This text also highlighted for the first time the deep-rooted possibilities in algebra to extend the use of mathematical disciplines from one to another, such as the application of arithmetic to algebra, or of geometry into algebra, and vice-versa for these three disciplines into one another; hence opening up novel areas of mathematical research. Latin translations of al-Khwarizmi's book began in the 12th century, and these texts held a continuous influence over algebra and mathematics until the 16th century.

Author Bio

Roshdi Rashed is a leading authority in history and philosophy of science and mathematics. He is Senior Director of Research at the Centre National de la Recherche Scientifique (CNRS) in Paris, and a former Professor at the University of Tokyo. He has published widely in French and Arabic, and his books in English include: The Development of Arabic Mathematics: Between Arithmetic and Algebra (1994), Encyclopaedia of the History of Arabic Science (1996), Omar Khayyam. The Mathematician (2000), and Geometry and Dioptrics in Classical Islam (2005).