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Titlebook: Real Algebraic Geometry; Vladimir I. Arnold,Ilia Itenberg,Viatcheslav Kharl Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 algebraic

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Complex Algebraic Curves,mplex plane ℂ. (with coordinates . and .) of dimension two, since the real dimension of a 2-dimensional complex plane is equal to 4, and equating to zero the complex number . (.,.) means equating to zero both its real part and its imaginary part; that is, we have two equations in the four real variables (Re ., Im., Re., Im.).
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978-3-642-36242-2Springer-Verlag Berlin Heidelberg 2013
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Real Algebraic Geometry978-3-642-36243-9Series ISSN 2038-5714 Series E-ISSN 2532-3318
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Introduction,This book is concerned with one of themost fundamental questions ofmathematics: the relationship between algebraic formulas and geometric images.
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Projective Geometry,It is clear to everyone that the branches of a hyperbola “go off to infinity,” but these words acquire a precise meaning only in projective geometry, the science that arose in the mathematical examination of rails “converging” a long way off as they go straight to the horizon.
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