Super-Real Fields - Totally Ordered Fields with Additional Structure (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 of ordered 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.

General

Imprint:	Clarendon Press
Country of origin:	United Kingdom
Series:	London Mathematical Society Monographs, 14
Release date:	May 1996
First published:	August 1996
Authors:	H. Garth Dales (Proessor of Pure Mathematics) • W. Hugh Woodin (Professor of Mathematics)
Dimensions:	241 x 162 x 22mm (L x W x T)
Format:	Hardcover
Pages:	376
ISBN-13:	978-0-19-853991-9
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
LSN:	0-19-853991-6
Barcode:	9780198539919

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