03906nam 22008055 450 991033825480332120200701050417.09783030140533303014053910.1007/978-3-030-14053-3(CKB)4100000008160693(DE-He213)978-3-030-14053-3(MiAaPQ)EBC5919474(PPN)236522418(MiAaPQ)EBC31886880(Au-PeEL)EBL31886880(OCoLC)1103468530(EXLCZ)99410000000816069320190515d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierUndergraduate Algebra A Unified Approach /by Matej Brešar1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XXIV, 316 p. 17 illus.) Springer Undergraduate Mathematics Series,1615-20859783030140526 3030140520 Preface -- 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. .This 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.Springer Undergraduate Mathematics Series,1615-2085Associative ringsRings (Algebra)Commutative algebraCommutative ringsAlgebraField theory (Physics)Group theoryAlgebras, LinearAssociative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Commutative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11043Field Theory and Polynomialshttps://scigraph.springernature.com/ontologies/product-market-codes/M11051Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Linear Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11100Associative rings.Rings (Algebra)Commutative algebra.Commutative rings.Algebra.Field theory (Physics)Group theory.Algebras, Linear.Associative Rings and Algebras.Commutative Rings and Algebras.Field Theory and Polynomials.Group Theory and Generalizations.Linear Algebra.512.9512Brešar Matejauthttp://id.loc.gov/vocabulary/relators/aut721264MiAaPQMiAaPQMiAaPQBOOK9910338254803321Undergraduate Algebra1733812UNINA00994nas 2200361 c 450 991089230280332120251019154315.02702-749X(DE-599)ZDB3048879-5(OCoLC)1312571066(DE-101)1223573273(CKB)5670000000345923(EXLCZ)99567000000034592320201216b20032012 |y |gerur|||||||||||txtrdacontentcrdamediacrrdacarrierIntegrative TherapieZeitschrift für vergleichende Psychotherapie und Methodenintegration[Wien]Krammer Verlag[2003?-2012][Paderborn]Junfermann VerlagReproduktionZeitschriftgnd-content6101501140DE-1019999JOURNAL9910892302803321Integrative Therapie4230132UNINA