Super-Real Fields, 9780198539919
Hardcover
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.

Super-Real Fields

totally ordered fields with additional structure

$312.79

  • Hardcover

    376 pages

  • Release Date

    16 May 1996

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Summary

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 generalizati…

Book Details

ISBN-13:9780198539919
ISBN-10:0198539916
Series:London Mathematical Society Monographs
Author:H. Garth Dales, W. Hugh Woodin
Publisher:Oxford University Press
Imprint:Oxford University Press
Format:Hardcover
Number of Pages:376
Release Date:16 May 1996
Weight:682g
Dimensions:241mm x 162mm x 22mm
What They're Saying

Critics Review

`This book is an interesting research monograph which, because of its several fine introductory chapters, should be accessible to a large number of readers … The breadth and depth of the analysis and synthesis of the “additional structure”, used to prove some of these theorems, is impressive .‘Zentrallblat fur Mathematik, vol. 856, 1997

About The Author

H. Garth Dales

H. Garth Dales is at University of Leeds. W. H. Woodin is at University of California, Berkeley.

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