Real closed field hyperreal (2 Ergebnisse)
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Taschenbuch. Zustand: 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 nu…mbers, 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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Taschenbuch. Zustand: 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.
