5 edition of Super-real fields found in the catalog.
Includes bibliographical references (p. -347) and indexes.
|Statement||H. Garth Dales and W. Hugh Woodin.|
|Series||London Mathematical Society monographs ;, new ser., no. 14, Oxford science publications|
|Contributions||Woodin, W. H.|
|LC Classifications||QA247 .D25 1996|
|The Physical Object|
|Pagination||xiii, 357 p. :|
|Number of Pages||357|
|LC Control Number||97109164|
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Super-fields are a class of totally ordered fields that are larger than the real line. They arise from quotients of the algebra of continuous functions on a compact space by a prime ideal, and generalize the well-known class of ultrapowers, and indeed the continuous by: SUPER-REAL FIELDS Paperback – January 1, by H.G.
DALES (Author) See all formats and editions Hide other formats and editions. Price New from Used from Hardcover "Please retry" $ $ $ Hardcover $ 7 Used from $ 4 New from $ Enter your mobile number or email address below and we'll send you a link to Author: H.G.
DALES. Introduction ; 1. Ordered sets and ordered groups ; 2. Ordered fields ; 3. Completions of ordered groups and fields ; 4. Algebras of continuous functions ; 5. Normability and universality ; 6. The operational calculus and the field R ; 7.
Examples ; 8. Non-standard structures for super-real fields and the gap theorem ; 9. R as a hyper-real. Download books format PDF, TXT, ePub, PDB, RTF, FB2 & Audio Books Super-real fields are a class of large totally ordered fields.
These fields are larger than the real line. They arise from quotients of the algebra of continuous functions on a compact space by a prime ideal, and generalize the well-known class of ultrapowers, and indeed the continuous ultrapowers. [ Super-Real Fields: Totally Ordered Fields with Additional Structure [ SUPER-REAL FIELDS: TOTALLY ORDERED FIELDS WITH ADDITIONAL STRUCTURE BY Dales, H.
Garth (Author) Aug[ SUPER-REAL FIELDS: TOTALLY ORDERED FIELDS WITH ADDITIONAL STRUCTURE [ SUPER-REAL FIELDS: TOTALLY ORDERED FIELDS WITH Author: H. Garth Dales. Dales, H. Garth; Woodin, W. Hugh (), Super-real fields, London Mathematical Society Monographs.
New Series, 14, The Clarendon Press Oxford University Press, ISBNMR Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs) by H. Garth Dales and W.
Hugh Woodin | Aug 1, Hardcover. Similar books and articles. Review: H. Garth Dales, W. Hugh Woodin, Super-Real Fields. Totally Ordered Fields with Additional Structure. [REVIEW] M. Dickmann - - Bulletin of Symbolic Logic 6 (2) Some Model Theory for Almost Real Closed Fields.
Super-Real Fields: Totally Ordered Fields with Additional Structure. Super-real fields are a class of large totally ordered fields. These fields are larger than the real line.
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After the usual, awkward COVID theatre. In mathematics, the system of hyperreal numbers is a way of treating infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R that contains numbers greater than anything of the form + + ⋯ + (for any finite number of terms).
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this book: (3) the field of fractions, Kp, of any integral domain of the form Ap = C (X)/P, P a prime ideal of C (X). When Kp 9 R, these are the super-real fields of the book's title (the rings Ap were first studied in Gillman and Jerison, Chapter 14).
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