Record ID | marc_columbia/Columbia-extract-20221130-031.mrc:128572615:4341 |
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001 15093744
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006 m o d
007 cr unu||||||||
008 131028s2012 flua ob 000 0 eng d
010 $a 2011036515
035 $a(OCoLC)ocn861618524
035 $a(NNC)15093744
040 $aUMI$beng$epn$cUMI$dDEBSZ$dOCLCQ$dOCLCF$dCOO$dOCLCQ$dCRCPR$dOCLCQ$dCEF$dWYU$dYDX$dVT2$dUKAHL$dRDF$dOCLCO
019 $a1066447913$a1103280913$a1129368147
020 $a1439851298
020 $a9781439851296
020 $z9781439851296
035 $a(OCoLC)861618524$z(OCoLC)1066447913$z(OCoLC)1103280913$z(OCoLC)1129368147
037 $aCL0500000325$bSafari Books Online
050 4 $aQA251$b.B45 2012
082 04 $a512$223
084 $aCOM051300$aMAT002000$aMAT028000$2bisacsh
049 $aZCUA
100 1 $aBergman, C. H.$q(Clifford H.),$d1953-
245 10 $aUniversal algebra :$bfundamentals and selected topics /$cClifford Bergman.
260 $aBoca Raton :$bCRC Press,$c©2012.
300 $a1 online resource (xi, 297 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aPure and applied mathematics : a series of monographs and textbooks
588 0 $aPrint version record.
504 $aIncludes bibliographical references (pages 291-297).
520 $a"Preface This text is based on the two-semester course that I have taught over the years at Iowa State University. In the writing, as in my course, I attempt to convey my enthusiasm for the subject and my feelings that it is a worthy object of study for both graduate students and professional mathematicians. In choosing the level of detail, I have taken my inspiration more from the tradition of first-year algebra texts such as van der Waerden, Lang, and Dummit and Foote, than from a typical research monograph. The book is addressed to newcomers to the field, whom I do not wish to overwhelm, more than to veterans seeking an encyclopedic reference work. It is the job of the author to decide what to omit. One rule of thumb that I have always used in my classes is to introduce a tool only if it will be applied later in the course. As a teacher, I have always found it frustrating to expend a lot of effort and class time developing some construction and then not be able to demonstrate its importance. Thus, for example, in Chapter 7, the basics of commutator theory are developed in the context of congruence-permutable varieties and applied to the characterization of directly representable varieties. The more involved development in the congruence-modular case is omitted since it isn't needed for this application. As I have matured as a teacher, I have come to incorporate many more examples into all of my classes. I have applied that philosophy to the writing of this book. Throughout the text a series of examples is developed that can be used repeatedly to illustrate new concepts as they are introduced"--$cProvided by publisher.
505 0 $aPart I I Fundamentals of Universal Algebra -- chapter 1 Algebras -- chapter 2 Lattices -- chapter 3 The Nuts and Bolts of Universal Algebra -- chapter 4 Clones, Terms, and Equational Classes -- part II II Selected Topics -- chapter 5 Congruence Distributive Varieties -- chapter 6 Arithmetical Varieties -- chapter 7 Maltsev Varieties -- chapter 8 Finite Algebras and Locally Finite Varieties.
650 0 $aAlgebra, Universal.
650 0 $aAlgebraic logic.
650 6 $aAlgèbre universelle.
650 6 $aLogique algébrique.
650 7 $aCOMPUTERS$xProgramming$xAlgorithms.$2bisacsh
650 7 $aMATHEMATICS$xAlgebra$xGeneral.$2bisacsh
650 7 $aMATHEMATICS$xSet Theory.$2bisacsh
650 7 $aAlgebra, Universal.$2fast$0(OCoLC)fst00804928
650 7 $aAlgebraic logic.$2fast$0(OCoLC)fst00804936
655 0 $aElectronic book.
655 4 $aElectronic books.
776 08 $iPrint version:$aBergman, C.H. (Clifford H.), 1953-$tUniversal algebra.$dBoca Raton : CRC Press, ©2012$z9781439851296$w(DLC) 2011036515$w(OCoLC)635487967
830 0 $aMonographs and textbooks in pure and applied mathematics.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15093744$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS