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Description of  A First Course in Abstract Algebra (3rd Edition)

0131862677 pdf 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. Number Theory: Induction Binomial Coefficients Greatest Common Divisors The Fundamental Theorem of Arithmetic. Congruences 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.