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Real Closed Field: Field (Mathematics), Hyperreal Number, Elementarily Equivalent, Total Order, Ordered Field, Polynomial - Couverture souple
Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of real algebraic numbers, and the field of hyperreal numbers.If F is an ordered field (not just orderable, but a definite ordering is fixed as part of the structure), the Artin-Schreier theorem states that F has an algebraic extension, called the real closure K of F, such that K is a real closed field whose ordering is an extension of the given ordering on F, and is unique up to order isomorphism. For example, the real closure of the rational numbers are the real algebraic numbers. The theorem is named for Emil Artin and Otto Schreier, who proved it in 1926.
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Real Closed Field
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of real algebraic numbers, and the field of hyperreal numbers.If F is an ordered field (not just orderable, but a definite ordering is fixed as part of the structure), the Artin Schreier theorem states that F has an algebraic extension, called the real closure K of F, such that K is a real closed field whose ordering is an extension of the given ordering on F, and is unique up to order isomorphism. For example, the real closure of the rational numbers are the real algebraic numbers. The theorem is named for Emil Artin and Otto Schreier, who proved it in 1926. 76 pp. Englisch. N° de réf. du vendeur 9786131304668
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Real Closed Field : Field (Mathematics), Hyperreal Number, Elementarily Equivalent, Total Order, Ordered Field, Polynomial
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of real algebraic numbers, and the field of hyperreal numbers.If F is an ordered field (not just orderable, but a definite ordering is fixed as part of the structure), the Artin Schreier theorem states that F has an algebraic extension, called the real closure K of F, such that K is a real closed field whose ordering is an extension of the given ordering on F, and is unique up to order isomorphism. For example, the real closure of the rational numbers are the real algebraic numbers. The theorem is named for Emil Artin and Otto Schreier, who proved it in 1926. N° de réf. du vendeur 9786131304668
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Real Closed Field | Field (Mathematics), Hyperreal Number, Elementarily Equivalent, Total Order, Ordered Field, Polynomial
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Taschenbuch. Etat : Neu. Real Closed Field | Field (Mathematics), Hyperreal Number, Elementarily Equivalent, Total Order, Ordered Field, Polynomial | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131304668 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113292804
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Real Closed Field
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematics, areal closed field is a field F that has the same first-order propertiesas the field of real numbers. Some examples are the field of realnumbers, the field of real algebraic numbers, and the field of hyperrealnumbers.If F is an ordered field (not just orderable, but a definiteordering is fixed as part of the structure), the Artin-Schreier theoremstates that F has an algebraic extension, called the real closure K ofF, such that K is a real closed field whose ordering is an extension ofthe given ordering on F, and is unique up to order isomorphism. Forexample, the real closure of the rational numbers are the real algebraicnumbers. The theorem is named for Emil Artin and Otto Schreier, whoproved it in 1926.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 76 pp. Englisch. N° de réf. du vendeur 9786131304668
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