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010   $a9783030140533
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024 7 $a10.1007/978-3-030-14053-3
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035   $a(DE-He213)978-3-030-14053-3
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035   $a(OCoLC)1103468530
035   $a(EXLCZ)994100000008160693
100   $a20190515d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aUndergraduate Algebra $eA Unified Approach /$fby Matej Bre?ar
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXIV, 316 p. 17 illus.) 
225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
311 08$a9783030140526 
311 08$a3030140520 
327   $aPreface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index. .
330   $aThis textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.
410  0$aSpringer Undergraduate Mathematics Series,$x1615-2085
606   $aAssociative rings
606   $aRings (Algebra)
606   $aCommutative algebra
606   $aCommutative rings
606   $aAlgebra
606   $aField theory (Physics)
606   $aGroup theory
606   $aAlgebras, Linear
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043
606   $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aLinear Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11100
615  0$aAssociative rings.
615  0$aRings (Algebra)
615  0$aCommutative algebra.
615  0$aCommutative rings.
615  0$aAlgebra.
615  0$aField theory (Physics)
615  0$aGroup theory.
615  0$aAlgebras, Linear.
615 14$aAssociative Rings and Algebras.
615 24$aCommutative Rings and Algebras.
615 24$aField Theory and Polynomials.
615 24$aGroup Theory and Generalizations.
615 24$aLinear Algebra.
676   $a512.9
676   $a512
700   $aBre?ar$b Matej$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721264
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910338254803321
996   $aUndergraduate Algebra$91733812
997   $aUNINA