Inbunden, Engelska, 2022
388 kr
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Etienne Bézout – författare
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29 produkter
29 produkter
- Häftad, Engelska, 2022
244 kr
Skickas inom 5-8 vardagar
- E-bokEngelska, 2009
1 326 kr
Läs direkt efter köp
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.
- Häftad, Franska, 2018
340 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
366 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
302 kr
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- Häftad, Franska, 2022
270 kr
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- Häftad, Franska, 2018
438 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2022
299 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
181 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2022
210 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2022
327 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
210 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2022
238 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
196 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2022
224 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
377 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
210 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
209 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
409 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
196 kr
Skickas inom 5-8 vardagar
224 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
210 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
327 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
475 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
224 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
346 kr
Skickas inom 5-8 vardagar
- Häftad, Franska, 2018
413 kr
Skickas inom 5-8 vardagar
- Inbunden, Engelska, 2006
849 kr
Tillfälligt slut
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, Bezout 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 "Bezout'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.
