03722cam a2200601Ka 4500001001500000003000600015005001700021006001900038007001500057008004100072019001400113020003600127020003300163020002700196020002400223020001500247020001800262035003900280035003500319040010800354049000900462050002500471082001400496084001500510084001500525084001600540084001600556084001500572100002500587245008000612260007400692300005200766336002600818337002600844338003600870490005800906504006700964588002601031520114301057590006402200650002302264650002902287730002702316776020502343830005902548856014002607907003202747998004402779994001202823999008202835952006302917856014002980mig00005328086OCoLC20210517060130.5m o d cr cnu---unuuu130415s1979 enka ob 001 0 eng d a708568763 a9781107360921q(electronic bk.) a1107360927q(electronic bk.) a9780511891922q(ebook) a051189192Xq(ebook) z052122845X z9780521228459 a(OCoLC)839303243z(OCoLC)70856876300aocm00000001wrldshrocn839303243 aN$TbengepncN$TdE7BdIDEBKdOCLCFdYDXCPdOCLCQdAGLDBdOCLCQdOCLCOdUABdOCLCQdVTSdRECdSTFdM8D aTXMM 4aQA251.3b.B78 1979eb04a512.4222 a31.512bcl a31.612bcl aSI 3202rvk aSK 2402rvk a31.112bcl1 aBrumfiel, Gregory W.10aPartially ordered rings and semi-algebraic geometry /cGregory W. Brumfiel. aCambridge [England] ;aNew York :bCambridge University Press,c1979. a1 online resource (280 pages) :billustrations. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier1 aLondon Mathematical Society lecture note series ;v37 aIncludes bibliographical references (pages 273-277) and index.0 aPrint version record. aThe 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. aEBSCO eBook Academic Comprehensive Collection North America 0aCommutative rings. 0aCategories (Mathematics)0 aWORLDSHARE SUB RECORDS08iPrint version:aBrumfiel, Gregory W.tPartially ordered rings and semi-algebraic geometry.dCambridge [Eng.] ; New York : Cambridge University Press, 1979z052122845Xw(DLC) 80469087w(OCoLC)6022756 0aLondon Mathematical Society lecture note series ;v37.40uhttps://ezproxy.mtsu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552504zCONNECT3EBSCOt0 a4598796b05-25-21c06-30-20 awib05-25-21cmdz e-fenggenkh0i2 a92bTXMffi07034e1a-9c2c-46f9-a643-686c43191b2fs3d058f78-de72-49b5-8743-75197be95797t0fft1eQA251.3 .B78 1979ebhLibrary of Congress classification403EBSCOt0uhttps://ezproxy.mtsu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552504zCONNECT