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  1. Bog
  2. Matematik
  3. Algebra
General Theory of Algebraic Equations
Af: Etienne Bezout
Engelsk Hardback
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General Theory of Algebraic Equations
Af: Etienne Bezout
Engelsk Hardback
888 kr
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Om denne bog

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, Bézout 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 "Bézout''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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Product detaljer
Sprog:
Engelsk
Sider:
368
ISBN-13:
9780691114323
Indbinding:
Hardback
Udgave:
ISBN-10:
0691114323
Kategori:
Udg. Dato:
2 apr 2006
Længde:
31mm
Bredde:
163mm
Højde:
239mm
Forlag:
Princeton University Press
Oplagsdato:
2 apr 2006
Forfatter(e):
Kategori sammenhænge