Read Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs)

Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs)

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Description: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 ultrapowers. These fields are an important topic in their own right and have many surprising applications in analysis and logic. The authors introduce these exciting new fields to mathematicians, analysts, and logicians, including a natural generalization of the real line R, and resolve a number of open problems. After an exposition of the general theory of ordered fields and a careful proof of some classic theorems, including Kapansky's embedding, they establish important new results in Banach algebra theory, non-standard analysis, and model theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs). To get started finding Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0198539916

Description: 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 ultrapowers. These fields are an important topic in their own right and have many surprising applications in analysis and logic. The authors introduce these exciting new fields to mathematicians, analysts, and logicians, including a natural generalization of the real line R, and resolve a number of open problems. After an exposition of the general theory of ordered fields and a careful proof of some classic theorems, including Kapansky's embedding, they establish important new results in Banach algebra theory, non-standard analysis, and model theory.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs). To get started finding Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs)

Super-Real Fields: Totally Ordered Fields with Additional Structure (London Mathematical Society Monographs)

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