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Superreal Number: Number System, Real Numbers, Hyperreal Number, Tychonoff Space, Field of Fractions - Softcover
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Superreal Number
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Suppose X is a Tychonoff space, also called a T3.5 space, and C(X) is the algebra of continuous real-valued functions on X. Suppose P is a prime ideal in C(X). Then the factor algebra A = C(X)/P is by definition an integral domain which is a real algebra and which can be seen to be totally ordered. The field of fractions F of A is a superreal field if F strictly contains the real numbers Bbb{R}, so that F is not order isomorphic to Bbb{R}. If the prime ideal P is a maximal ideal, then F is a field of hyperreal numbers. The terminology is due to Dales and Woodin. Dales and Woodin''s supperreals are different from super-real numbers of David O. Tall, which are lexicographically ordered fractions of formal power series over the reals. 84 pp. Englisch. Bestandsnummer des Verkäufers 9786131271366
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Superreal Number : Number System, Real Numbers, Hyperreal Number, Tychonoff Space, Field of Fractions
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Suppose X is a Tychonoff space, also called a T3.5 space, and C(X) is the algebra of continuous real-valued functions on X. Suppose P is a prime ideal in C(X). Then the factor algebra A = C(X)/P is by definition an integral domain which is a real algebra and which can be seen to be totally ordered. The field of fractions F of A is a superreal field if F strictly contains the real numbers Bbb{R}, so that F is not order isomorphic to Bbb{R}. If the prime ideal P is a maximal ideal, then F is a field of hyperreal numbers. The terminology is due to Dales and Woodin. Dales and Woodin''s supperreals are different from super-real numbers of David O. Tall, which are lexicographically ordered fractions of formal power series over the reals. Bestandsnummer des Verkäufers 9786131271366
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Superreal Number | Number System, Real Numbers, Hyperreal Number, Tychonoff Space, Field of Fractions
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Taschenbuch. Zustand: Neu. Superreal Number | Number System, Real Numbers, Hyperreal Number, Tychonoff Space, Field of Fractions | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131271366 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 113289578
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Superreal Number
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Taschenbuch. Zustand: 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. Suppose X is aTychonoff space, also called a T3.5 space, and C(X) is the algebra ofcontinuous real-valued functions on X. Suppose P is a prime ideal inC(X). Then the factor algebra A = C(X)/P is by definition an integraldomain which is a real algebra and which can be seen to be totallyordered. The field of fractions F of A is a superreal field if Fstrictly contains the real numbers Bbb{R}, so that F is not orderisomorphic to Bbb{R}. If the prime ideal P is a maximal ideal, then F isa field of hyperreal numbers. The terminology is due to Dales andWoodin. Dales and Woodin's supperreals are different from super-realnumbers of David O. Tall, which are lexicographically ordered fractionsof formal power series over the reals.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 84 pp. Englisch. Bestandsnummer des Verkäufers 9786131271366
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