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fundamental theorem of algebra

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fundamental theorem of algebra

Theorem of equations proved by Carl Friedrich Gauss in 1799. It states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers.


fundamental theorem of algebra [¦fən·də¦ment·əl ¦thir·əm əv ′al·jə·brə]
(mathematics)
Every polynomial of degreenwith complex coefficients has exactlynroots counted according to multiplicity.


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The mid-17th century saw the development of Isaac Newton's theorem and the fundamental theorem of algebra.
For myself, for instance, I now have a much better understanding of the problems involved in proving the Fundamental Theorem of Algebra and how it is possible to calculate factorials of rational and negative numbers.
Some third of the material is concerned with biographical and other contextual issues, while the bulk of the selections focus on particular aspects of Euler's contributions to mathematics, including infinite series, the zeta functions, Euler's constant, differentials, multiple integrals, the calculus of variations, the pentagonal number theorem, quadratic reciprocity, and the fundamental theorem of algebra.
 
 
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