Oxford, England OUP Oxford 1996 Hard cover New. Sewn binding. Cloth over boards. 376 p. London Mathematical Society Monographs, 14.

ISBN10: 0198539916, ISBN13: 9780198539919, [publisher: Clarendon Press] Hardcover
[DH, SE, Spain] [Publication Year: 1996]

ISBN10: 0198539916, ISBN13: 9780198539919, [publisher: Oxford New York : Clarendon Press ; Oxford University Press] Hardcover First Edition Fine copy in the original gilt-blocked cloth. Slightest suggestion only of dust-dulling to the panel edges. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; 357 pp.: illustrations ; 24 cm. Contents; 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 [actual symbol not reproducible] -- 7. Examples -- 8. Non-standard structures for super-real fields and the gap theorem -- 9. [actual symbol not reproducible] as a hyper-real field -- 10. Models and weak Cauchy completeness -- 11. Rigid fields and solid structures -- 12. Open questions. Subjects; Ordered fields. Algebraic topology. Mathematics. 1 Kg.
[New York, NY, U.S.A.] [Publication Year: 1996]
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ISBN10: 0198539916, ISBN13: 9780198539919, [publisher: Oxford University Press, Oxford] Hardcover Hardcover. 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. These fields are of interest in their own right and have many surprising applications, both in analysis and logic. The authors introduce some exciting new fields,including a natural generalization of the real line R, and resolve a number of open problems. The book is intended to be accessible to analysts and logicians. After an exposition of the general theory ofordered fields and a careful proof of some classic theorems, including Kaplansky's embedding theorems , the authors establish important new results in Banach algebra theory, non-standard analysis, an model theory. This advanced text expounds the established theory of ordered fields, and continues to develop a quite original theory of super-real fields. This theory has important applications in analysis and logic. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
[Truganina, VIC, Australia] [Publication Year: 1996]

Oxford New York : Clarendon Press ; Oxford University Press, Date: 1996. 1st edition. Hardcover. Fine copy in the original gilt-blocked cloth. Slightest suggestion only of dust-dulling to the panel edges. Remains particularly well-preserved overall; tight, bright, clean and strong. Physical description; 357 pp.: illustrations ; 24 cm. Contents; 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 [actual symbol not reproducible] -- 7. Examples -- 8. Non-standard structures for super-real fields and the gap theorem -- 9. [actual symbol not reproducible] as a hyper-real field -- 10. Models and weak Cauchy completeness -- 11. Rigid fields and solid structures -- 12. Open questions. Subjects; Ordered fields. Algebraic topology. Mathematics. 1996. Oxford New York : Clarendon Press ; Oxford University Press ISBN 0198539916 9780198539919 [IE]