General Theory of Algebraic Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


General Theory of Algebraic Equations

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Bezout, Etienne 作者
Princeton Univ Pr
Feron, Eric 譯者
2006-1 出版日期
362 頁數
$ 84.75 價格
HRD
叢書系列
9780691114323 圖書編碼

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General Theory of Algebraic Equations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

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General Theory of Algebraic Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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General Theory of Algebraic Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

General Theory of Algebraic Equations 在線電子書 圖書描述

This book provides the first English translation of Bezout's masterpiece, the General Theory of Algebraic Equations. It follows, by almost two hundred years, the English translation of his famous mathematics textbooks. Here, Bzout presents his approach to solving systems of polynomial equations in several variables and in great detail. He introduces the revolutionary notion of the "polynomial multiplier," which greatly simplifies the problem of variable elimination by reducing it to a system of linear equations. The major result presented in this work, now known as "Bzout's theorem," is stated as follows: "The degree of the final equation resulting from an arbitrary number of complete equations containing the same number of unknowns and with arbitrary degrees is equal to the product of the exponents of the degrees of these equations." The book offers large numbers of results and insights about conditions for polynomials to share a common factor, or to share a common root. It also provides a state-of-the-art analysis of the theories of integration and differentiation of functions in the late eighteenth century, as well as one of the first uses of determinants to solve systems of linear equations. Polynomial multiplier methods have become, today, one of the most promising approaches to solving complex systems of polynomial equations or inequalities, and this translation offers a valuable historic perspective on this active research field.

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