Diophantus vs al-khwarizmi book of al-gibran

One of his principal achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric justifications. Alkhwarizmis popularizing treatise on algebra presented the first systematic solution of linear and quadratic equations. He and his colleagues also studied, and wrote on, algebra, geometry, and astronomy. Al khwarizmi mathematician biography, contributions and. After a few centuries his work helped get europe out of the dark ages. There is not much known about khwarizmi s life that can be recounted with absolute surety. Alkhwarizmis popularizing treatise on algebra the compendious book on calculation by completion and balancing, ca. One of his principal achievements in algebra was his demonstration of. Brahmagupta and alkhwarizmi s crucial contribution is the concept of the general solution of an equation. In his book, alkhwarizmi introduced the fundamental algebraic. Alkhwarizmi the father of algebra the story of mathematics. Alkhwarizmi wrote numerous books that played important roles in.

Alkhwarizmi wanted to go from the specific problems considered by the indians and chinese to a more general way of. Thales or pytaghoras or diophantus or alkhwarizmi or any other. In a sense, alkhwarizmi is more entitled to be called the father of algebra than diophantus because alkhwarizmi is the first to teach algebra in an elementary form and for its own sake, diophantus is primarily concerned with the theory of numbers. The fusion of alkhwarizmi s highly systematic algebra with diophantus intriguing problems and solutions led to a great flowering of algebra in persia and the islamic world. 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. Toomer, gerald, alkhwarizmi, abu jafar muhammad ibn musa, dictionary of. Alkhwarizmis other important contribution was algebra, a word derived from the title of a mathematical text he published in about 830 called alkitab almukhtasar fi hisab aljabr walmuqabala the compendious book on calculation by completion and balancing. The compendious book on calculation by completion and. In the 12 th century, when his book was translated into latin, europe began to become familiar with his work. Sesiano, jacques, books iv to vii of diophantus arithmetica in the arabic.

Ibn alnadim wrote a biography on al khwarizmi which mainly included the books that he wrote. Although i believe that both diophantus and alkhwarizmi contributed greatly to the math world, i think that alkhwarizmi should be considered the father of algebra. Diophantus belonged to the silver age of alexandria and studied at the. Alkhwarizmis kitab almukhtasar fi hisab aljabr walmuqabala the compendious book on calculation by completion and balancing was a. Around 820 ce he was appointed as the astronomer and head of the library of the house of wisdom in baghdad.

He was an orthodox muslim, a firm believer in islamic way of life. In alkhwarizmis own words, the purpose of the book is to teach. Smiths translation of vietes work forms an appendix to kleins book and may be. Alkhwarizmis algebra is regarded as the foundation and cornerstone of the sciences. Alkhwarizmis text can be seen to be distinct not only from the babylonian tablets, but also from the diophantus arithmetica. In the context where algebra is identified with the theory of equations, the greek mathematician diophantus has traditionally been known as the father of algebra and in context where it is identified with rules for manipulating and solving equations, persian mathematician alkhwarizmi is regarded as the father of algebra.