{"product_id":"first-course-in-abstract-algebra-a-von-joseph-rotman-und-joseph-j-rotman","title":"First Course in Abstract Algebra, A","description":"\n                                \n                \u003cp\u003e\n                                        \n                    \u003cb\u003e\u003c\/b\u003e\n                                         This text introduces readers to the algebraic concepts of group and rings, providing a comprehensive discussion of theory as well as a significant number of applications for each.\n                \n                \u003c\/p\u003e\n                                 \n                \n                \u003cp\u003e \u003c\/p\u003e\n                                 \n                \n                \u003cp\u003e\n                                        \n                    \u003cb\u003eKEY TOPICS:\u003c\/b\u003e\n                                         \n                    \n                    \u003cb\u003eNumber Theory: \u003c\/b\u003e\n                                        Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of Arithmetic \n                \n                \u003c\/p\u003e\n                                 \n                \n                \u003cb\u003e \u003c\/b\u003e\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                                 \n                \n                \u003cp\u003e\n                                        Congruences; Dates and Days. \n                    \n                    \u003cb\u003eGroups I: \u003c\/b\u003e\n                                        Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. \n                    \n                    \u003cb\u003eCommutative Rings I: \u003c\/b\u003e\n                                        First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. \n                    \n                    \u003cb\u003eLinear Algebra: \u003c\/b\u003e\n                                        Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. \n                    \n                    \u003cb\u003eFields: \u003c\/b\u003e\n                                        Classical Formulas; Insolvability of the General Quintic; Epilog. \n                    \n                    \u003cb\u003eGroups II: \u003c\/b\u003e\n                                        Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. \n                    \n                    \u003cb\u003eCommutative Rings III: \u003c\/b\u003e\n                                        Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases. \n                \n                \u003c\/p\u003e\n                                 \n                \n                \u003cp\u003e \u003c\/p\u003e\n                                 \n                \n                \u003cb\u003eMARKET:\u003c\/b\u003e\n                                 For all readers interested in abstract algebra.\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780131862678\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9780131862678","offer_id":57785047056709,"sku":"9780131862678","price":163.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/34f65ffb-a1c3-489e-ab8b-5ccf850ea0ab.jpg?v=1781150821","url":"https:\/\/shop.autorenwelt.de\/en\/products\/first-course-in-abstract-algebra-a-von-joseph-rotman-und-joseph-j-rotman","provider":"Autorenwelt Shop","version":"1.0","type":"link"}