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General Theory of Algebraic Equations by Etienne Bézout, Eric Feron

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Preface to the 1779 edition

Algebraic analysis is applied to various mathematical questions, essentially with the help of equations. Many efforts have been made to develop a theory for the latter, to perfect the methods to obtain general and specific statements that the solutions to these equations may provide, and to provide the surest, simplest and fastest means to solve them.

However, when the variables involved in answering a particular question become somewhat numerous, and when at the same time, the various constraints connecting these variables become more complex, the art of dealing with the whole system using general and simple rules requires sustained attention. This attention is all the more easily lost when the unlimited field of ...

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