03722cam a2200601Ka 4500
mig00005328086
OCoLC
20210517060130.5
m o d
cr cnuunuuu
130415s1979 enka ob 001 0 eng d
708568763
9781107360921
(electronic bk.)
1107360927
(electronic bk.)
9780511891922
(ebook)
051189192X
(ebook)
052122845X
9780521228459
(OCoLC)839303243
(OCoLC)708568763
ocm00000001wrldshrocn839303243
N$T
eng
pn
N$T
E7B
IDEBK
OCLCF
YDXCP
OCLCQ
AGLDB
OCLCQ
OCLCO
UAB
OCLCQ
VTS
REC
STF
M8D
TXMM
QA251.3
.B78 1979eb
512.4
22
31.51
bcl
31.61
bcl
SI 320
rvk
SK 240
rvk
31.11
bcl
Brumfiel, Gregory W.
Partially ordered rings and semialgebraic geometry /
Gregory W. Brumfiel.
Cambridge [England] ;
New York :
Cambridge University Press,
1979.
1 online resource (280 pages) :
illustrations.
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
London Mathematical Society lecture note series ;
37
Includes bibliographical references (pages 273277) and index.
Print version record.
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.
EBSCO eBook Academic Comprehensive Collection North America
Commutative rings.
Categories (Mathematics)
WORLDSHARE SUB RECORDS
Print version:
Brumfiel, Gregory W.
Partially ordered rings and semialgebraic geometry.
Cambridge [Eng.] ; New York : Cambridge University Press, 1979
052122845X
(DLC) 80469087
(OCoLC)6022756
London Mathematical Society lecture note series ;
37.
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4598796
052521
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z

eng
enk
0
2
92
TXM
07034e1a9c2c46f9a643686c43191b2f
3d058f78de7249b5874375197be95797
0
1
QA251.3 .B78 1979eb
Library of Congress classification
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