Diophantus explored some of the bases of algebra, but in my opinion, did not really into the details, and the things that make algebra, well. 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. Brahmagupta and alkhwarizmis crucial contribution is the concept of the general solution of an equation. He developed two distinct branches of mathematics, both of which owe their name to him. Alkhwarizmis kitab almukhtasar fi hisab aljabr walmuqabala the compendious book on calculation by completion and balancing was a.
Diophantus frequently dealt with cubic and higher power equations, up to x 9. 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. Dubbed the the father of algebra, diophantus was an ancient greek. In alkhwarizmis own words, the purpose of the book is to teach.
Al khwarizmi is arguably the most important mathematician of the middle ages. After a few centuries his work helped get europe out of the dark ages. This knowledge came to attention when translators found the mention of his other work in his surviving book, for example, the porisms. Orhan pamuk lu xun kahlil gibran france preseren ismail kadare joseph conrad. In his book, alkhwarizmi introduced the fundamental algebraic. Alkhwarizmis text can be seen to be distinct not only from the babylonian tablets, but also from the diophantus arithmetica. Diophantus was more concerned about the theory of numbers, which is similar to algebra, but not quite. Also, neither of them used the symbolic algebra diophantus had pioneered.
Alkhwarizmis popularizing treatise on algebra the compendious book on calculation by completion and balancing, c. For a new translation in french of the ten known books of the arithmetica, see diophantus, les arithmetiques, trans. The hellenistic mathematician diophantus has traditionally been known as the father of algebra but debate now exists as to whether or not alkhwarizmi should take that title. The history of algebra is very intriguing because of. Diophantus mathematician biography, contributions and facts. Aljabr comes closer to elementary algebra of today than the works of either diophantus or brahmagupta, because the book is not concerned with difficult. Alkhwarizmis text can be seen to be distinct not only from the babylonian tablets, but also from diophantus arithmetica. Thales or pytaghoras or diophantus or alkhwarizmi or any other. Alkhwarizmi wanted to go from the specific problems considered by the indians and chinese to a more general way of. This carefully crafted biography shines a longoverdue light on these achievements, documents khwarizmi s contributions to geography and astronomy, and. Furthermore, diophantus work established a foundation for algebra and its evolution over the ages and in doing so it left a great impression on the minds of the future mathematicians. Besides diophantus airthmetica just a few books managed to survive. I discussed some of the original puzzles in this book at my pickover discussion group. In the 12 th century, when his book was translated into latin, europe began to become familiar with his work.
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