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Algebra equivalent to Euclid’s Elements?
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[QUOTE="brainpushups, post: 6049904, member: 212884"] I like the Euler suggestion. One issue with the search for a book analogous with Euclid is that, though Euclid imposed the logical structure, many of the results were well-known from earlier mathematicians. Though Arab scholars did systematize algebra a bit, Al Kwarizmi's book (according to Katz – I have not seen the text) is more of a practical manual rather than a theoretical treatise as the [I]Elements[/I] is. Further, I believe all of the justification for the algebraic relations were still proven using geometry. You could look at works of Francois Viete who made steps toward more abstract symbolism. Descartes also moved things forward with the introduction of analytic geometry. Beyond this and we're probably up to Euler. But, in a sense, if you want something that is analogous to Euclid for algebra it is probably best to find a modern algebra text because all of these earlier works are akin to geometrical works that came before Euclid (attempted) to rigorously systematize it. It's just that none of them (to my knowledge) survived, probably, at least in part, due to the success of the [I]Elements[/I]. Reading Al Kwarizimi or Viete would be like reading Thales or Theaetetus instead of Euclid. [/QUOTE]
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Algebra equivalent to Euclid’s Elements?
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