LMS: 37 Partially Ordered Rings (London Mathematical Society Lecture Note Series, Series Number 37) - Image 1

£64.79

Cambridge University Press LMS: 37 Partially Ordered Rings (London Mathematical Society Lecture Note Series, Series Number 37)

Name: LMS: 37 Partially Ordered Rings (London Mathematical Society Lecture Note Series, Series Number 37)
Brand: Cambridge University Press
Price: 65.66 GBP
Availability: InStock

Algebra

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The purpose of this unique book is to establish purely algebraic foundations for the development of certain parts of topology. Some topologists seek to understand geometric properties of solutions to finite systems of equations or inequalities and configurations which in some sense actually occur in the real world. Others study spaces constructed more abstractly using infinite limit processes. Their goal is to determine just how similar or different these abstract spaces are from those which are finitely described. However, as topology is usually taught, even the first, more concrete type of problem is approached using the language and methods of the second type. Professor Brumfiel's thesis is that this is unnecessary and, in fact, misleading philosophically. He develops a type of algebra, partially ordered rings, in which it makes sense to talk about solutions of equations and inequalities and to compare geometrically the resulting spaces. The importance of this approach is primarily that it clarifies the sort of geometrical questions one wants to ask and answer about those spaces which might have physical significance.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 052122845X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 21 August 2008
Listed Since: 31 March 2008

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Cambridge University Press LMS: 37 Partially Ordered Rings (London Mathematical Society Lecture Note Series, Series Number 37)

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