{ "item_title" : "A First Course in Abstract Algebra", "item_author" : [" Joseph Rotman "], "item_description" : " 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.KEY TOPICS:Number Theory: Induction; Binomial Coefficients; Greatest Common Divisors; The Fundamental Theorem of ArithmeticCongruences; Dates and Days. Groups I: Some Set Theory; Permutations; Groups; Subgroups and Lagrange's Theorem; Homomorphisms; Quotient Groups; Group Actions; Counting with Groups. Commutative Rings I: First Properties; Fields; Polynomials; Homomorphisms; Greatest Common Divisors; Unique Factorization; Irreducibility; Quotient Rings and Finite Fields; Officers, Magic, Fertilizer, and Horizons. Linear Algebra: Vector Spaces; Euclidean Constructions; Linear Transformations; Determinants; Codes; Canonical Forms. Fields: Classical Formulas; Insolvability of the General Quintic; Epilog. Groups II: Finite Abelian Groups; The Sylow Theorems; Ornamental Symmetry. Commutative Rings III: Prime Ideals and Maximal Ideals; Unique Factorization; Noetherian Rings; Varieties; Grobner Bases.MARKET:For all readers interested in abstract algebra.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/0/13/186/267/0131862677_b.jpg", "price_data" : { "retail_price" : "173.32", "online_price" : "173.32", "our_price" : "173.32", "club_price" : "173.32", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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