| Record ID | marc_columbia/Columbia-extract-20221130-013.mrc:279259242:3374 |
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LEADER: 03374cam a2200517 i 4500
001 6330435
005 20201118153822.0
008 030701t20042004njua 001 0 eng
010 $a 2003057652
024 $a99979566834
035 $a(OCoLC)ocm52559229
040 $aDLC$beng$erda$cDLC$dMUQ$dMBB$dBAKER$dBTCTA$dYDXCP$dUBA$dUQ1$dSHH$dDEBBG$dTULIB$dBDX$dOCLCF$dVZD$dOCL$dOCLCQ$dWIS$dOCLCQ$dOCLCO$dDHA$dEZ9$dOCLCQ$dIPS$dOCLCQ$dGZM$dPAU$dYCP$dOCLCQ$dOCLCO$dXFF$dOCLCO$dBGU$dOCLCO$dCNO$dOCLCO$dOCLCQ$dOCLCO$dUWO$dORE
019 $a818846360
020 $a0471433349$q(acid-free paper)
020 $a9780471433347$q(acid-free paper)
035 $a(OCoLC)52559229$z(OCoLC)818846360
050 00 $aQA162$b.D85 2004
082 00 $a512/.02$222
084 $aSK 200$2rvk
084 $aMAT 110f$2stub
100 1 $aDummit, David Steven,$eauthor.
245 10 $aAbstract algebra /$cDavid S. Dummit, University of Vermont, Richard M. Foote, University of Vermont.
250 $aThird edition.
264 1 $aHoboken, NJ :$bJohn Wiley & Sons, Inc.,$c[2004]
264 4 $c©2004
300 $axii, 932 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
500 $aIncludes index.
505 0 $aPart. 1. Group Theory: Introduction to groups -- Subgroups -- Quotient groups and homomorphisms -- Group actions -- Direct and semidirect products and abelian groups -- Further topics in group theory -- Part 2. Ring theory: Introduction to rings -- Euclidean domains, principal ideal domains and unique factorization domains -- Polynomial rings -- Part 3. Modules and vector spaces: Introduction to module theory -- Vector spaces -- Modules over principal ideal domains -- Part. 4. Field theory and Galois theory: Field theory -- Galois theory -- Part 5. An introduction to commutative rings, algebraic geometry, and homological algebra: Commutative rings and algebraic geometry -- Artinian rings, discrete valuation rings, and Dedekind domains -- Introduction to homological algebra and group cohomology -- Part 6. Introduction to the representation theory of finite groups: Representation theory and character theory -- Examples and applications of character theory.
520 $aThis book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.
650 0 $aAlgebra, Abstract.
650 6 $aAlgèbre abstraite.
650 7 $aAlgebra, Abstract.$2fast$0(OCoLC)fst00804919
650 7 $aAlgebra$2gnd
650 7 $aAlgebraische Struktur$2gnd
650 7 $aÁlgebra abstrata.$2larpcal
650 17 $aAlgèbre abstraite.$2rasuqam
650 07 $aAlgebra.$2swd
650 07 $aAlgebraische Struktur.$2swd
700 1 $aFoote, Richard M.,$d1950-$eauthor.
852 00 $bmat$hQA162$i.D85 2004
852 00 $bmat$hQA162$i.D85 2004
852 00 $bmat$hQA162$i.D85 2004
852 00 $bbar,fli$kFLI PARTNER$hQA162$i.D85 2004