03973nam 22006975 450 991030010820332120250728133726.097833197764913-319-77649-510.1007/978-3-319-77649-1(CKB)4100000003359545(DE-He213)978-3-319-77649-1(MiAaPQ)EBC6312169(MiAaPQ)EBC5579404(Au-PeEL)EBL5579404(OCoLC)1066187733(PPN)226696839(EXLCZ)99410000000335954520180413d2018 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierAbstract algebra an introductory course /Gregory T. LeeCham :Springer International Publishing,[2018].1 online resource (XI, 301 pages, 7 illustrations.)Springer Undergraduate Mathematics Series,1615-2085Includes index.3-319-77648-7 9783319776484 Part I Preliminaries -- 1 Relations and Functions -- 2 The Integers and Modular Arithmetic -- Part II Groups -- 3 Introduction to Groups -- 4 Factor Groups and Homomorphisms -- 5 Direct Products and the Classification of Finite Abelian Groups -- 6 Symmetric and Alternating Groups -- 7 The Sylow Theorems -- Part III Rings -- 8 Introduction to Rings -- 9 Ideals, Factor Rings and Homomorphisms -- 10 Special Types of Domains -- Part IV Fields and Polynomials -- 11 Irreducible Polynomials -- 12 Vector Spaces and Field Extensions -- Part V Applications -- 13 Public Key Cryptography -- 14 Straightedge and Compass Constructions -- A The Complex Numbers -- B Matrix Algebra -- Solutions -- Index.This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.Springer undergraduate mathematics series1615-2085Group theoryAssociative ringsRings (Algebra)AlgebraField theory (Physics)Àlgebra abstractalemacGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Field Theory and Polynomialshttps://scigraph.springernature.com/ontologies/product-market-codes/M11051Group theory.Associative rings.Rings (Algebra)Algebra.Field theory (Physics)Àlgebra abstractaGroup Theory and Generalizations.Associative Rings and Algebras.Field Theory and Polynomials.512.02Lee Gregory Tauthttp://id.loc.gov/vocabulary/relators/aut474809MiAaPQMiAaPQMiAaPQBOOK9910300108203321Abstract Algebra1563199UNINA01885nam0 2200457 i 450 RAV017303420251003044326.08815032894IT92-8675 20190701d1991 ||||0itac50 baitaitz01i xxxe z01nz01ncRDAcarrierEconometriaNunzio Cappuccio, Renzo OrsiBolognaIl mulino\1991!510 p.24 cmStrumenti. EconomiaSegue: Appendice.001CFI00112082001 Strumenti. EconomiaEconomiaModelli matematiciFIRCFIC006594EEconometriaFIRCFIC081088E330ECONOMIA21330.01Economia. Filosofia e teoria14330.015195ECONOMIA. Principi di matematica statistica21330.015195ECONOMIA. Principi di matematica statistica22Economia realeAttività economicheAspetti economiciEconomiaEconomia realeEconomiaAttività economicheEconomiaAspetti economiciCappuccio, NunzioCFIV10280407088990Orsi, RenzoCFIV0643080706375ITIT-00000020190701IT-BN0095 NAP 01POZZO LIB.Vi sono collocati fondi di economia, periodici di ingegneria e scienze, periodici di economia e statistica e altri fondi comprendenti documenti di economia pervenuti in dono. RAV0173034Biblioteca Centralizzata di Ateneo1 v. 01POZZO LIB.ECON MON 8120 0101 0000115075E VMA 1 v. (Precedente collocazione: GUERRAZZI B 1825)B 2009122920091229 01Econometria35472UNISANNIO