Ultraproduct: Mathematics, Abstract Algebra, Model Theory, Mathematical Logic ,Structure, Hyperreal Number, Gödel's Completeness Theorem Non-Standard Analysis - Couverture souple

 
9786130356873: Ultraproduct: Mathematics, Abstract Algebra, Model Theory, Mathematical Logic ,Structure, Hyperreal Number, Gödel's Completeness Theorem Non-Standard Analysis

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic. An ultraproduct is a quotient of the direct product of a family of structures. All factors need to have the same signature. The ultrapower is the special case of this construction in which all factors are equal.For example, ultrapowers can be used to construct new fields from given ones. The hyperreal numbers, an ultrapower of the real numbers, are a special case of this.

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Présentation de l'éditeur

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic. An ultraproduct is a quotient of the direct product of a family of structures. All factors need to have the same signature. The ultrapower is the special case of this construction in which all factors are equal.For example, ultrapowers can be used to construct new fields from given ones. The hyperreal numbers, an ultrapower of the real numbers, are a special case of this.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.