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Considered a classic by many, A First Course in Abstract Algebra, Seventh Edition is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.
Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gröbner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra
For all readers interested in abstract algebra.
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- EditorePearson College Div
- Data di pubblicazione2002
- ISBN 10 0201763907
- ISBN 13 9780201763904
- RilegaturaCopertina rigida
- LinguaInglese
- Numero di pagine520
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A First Course in Abstract Algebra, 7th Edition
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Softcover. Condizione: New. Brand new book. International edition printed overseas but with similar contents as compared to the US edition. Same day shipping with tracking. Codice articolo 83|9780201763904
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A First Course in Abstract Algebra, 7th Edition
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Pearson (edition 7), 2002
ISBN 10: 0201763907
ISBN 13: 9780201763904
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A First Course in Abstract Algebra
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A First Course in Abstract Algebra, 7th Edition
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Condizione: Acceptable. LIGHTNING FAST SHIPPING! A heavily used, but still working copy. Coffee stain and wrinkling to the edge of the pages when a tired undergrad fell asleep and knocked their cup over on their books. The binding and pages of the book have been reinforced with tape, has tape and stickers on the cover, as well as lots of notes (some of the answers in the learning activities may be filled in) on the pages. Definitely not pretty, but it's a working copy at a great price that ships fast. ~ Book does NOT contain an access code or CD/DVD. Codice articolo #147D-0102
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A First Course in Abstract Algebra, 7th Edition
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Condizione: Acceptable. LIGHTNING FAST SHIPPING! A heavily used, but still working copy. Coffee stain and wrinkling to the edge of the pages when a tired undergrad fell asleep and knocked their cup over on their books. The binding and pages of the book have been reinforced with tape, has tape and stickers on the cover, as well as lots of notes (some of the answers in the learning activities may be filled in) on the pages. Definitely not pretty, but it's a working copy at a great price that ships fast. ~ Book does NOT contain an access code or CD/DVD. Print on demand copy. Codice articolo #215F-00105
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A First Course in Abstract Algebra, 7th Edition
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A First Course in Abstract Algebra, 7th Edition
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A First Course in Abstract Algebra (7th International Edition)
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A First Course in Abstract Algebra, 7th Edition
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