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Item Details
| Title:
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SUPER-REAL FIELDS
TOTALLY ORDERED FIELDS WITH ADDITIONAL STRUCTURE |
| By: |
H. Garth Dales, W. Hugh Woodin |
| Format: |
Hardback |
| List price:
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£84.00 |
| Our price: |
£73.50 |
| Discount: |
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| You save:
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£10.50 |
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| ISBN 10: |
0198539916 |
| ISBN 13: |
9780198539919 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
OXFORD UNIVERSITY PRESS |
| Pub. date: |
16 May, 1996 |
| Series: |
London Mathematical Society Monographs 14 |
| Pages: |
376 |
| Description: |
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. |
| Synopsis: |
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. |
| Illustrations: |
line figures |
| Publication: |
UK |
| Imprint: |
Clarendon Press |
| Returns: |
Returnable |
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