Titlebook: Real Algebraic Geometry; Jacek Bochnak,Michel Coste,Marie-Françoise Roy Book 1998 Springer-Verlag Berlin Heidelberg 1998 Nash functions.Na

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978-3-642-08429-4Springer-Verlag Berlin Heidelberg 1998

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Ordered Fields, Real Closed Fields,The first three sections of this chapter briefly review Artin-Schreier theory: ordered fields, real fields, real closed fields and the real closure of an ordered field. The fourth section is devoted to the Tarski-Seidenberg principle, which is an essential tool for real algebraic geometry.

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Jacek Bochnak,Michel Coste,Marie-Françoise RoyA systematic treatment of real algebraic geometry.Carefully and clearly written – may serve as a basis for a graduate course.Many of the new developments are included in this edition

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Book 1998pub­lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original.

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