Partially Ordered Rings and Semi-Algebraic Geometry

Name: Partially Ordered Rings and Semi-Algebraic Geometry
Brand: Cambridge University Press
SKU: 9780521228459
Price: 423.26 RON
Availability: InStock

Autor: Gregory W. Brumfiel

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Editura: Cambridge University Press

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423.26 lei

The purpose of this unique book is to establish purely algebraic foundations for the development of...

Informații despre carte

Autor

Gregory W. Brumfiel

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1979

Pagini

292

EAN

9780521228459

ISBN

052122845X

Enbook ID

02025726

Editura

Cambridge University Press

Greutate

430

Dimensiuni

152 x 229 x 17

Descriere completă

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.

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Partially Ordered Rings and Semi-Algebraic Geometry

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