The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise.

Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course. Sets and Induction 1.

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Publisher of college textbooks. 4180 IL Route 83, Suite 101 Long Grove, Illinois 60047 Phone: (847) 634-0081. Waveland Press, Inc. Publisher of college-level textbooks and supplements. The latest edition of Abstract Algebra extends the thrust of the widely used earlier editions as it introduces modern abstract concepts only after a careful study of important examples. Beachy and Blair’s clear narrative presentation responds to the needs of.

Binary Operations 2. Fundamental Theorems about Groups 4. Powers of an Element; Cyclic Groups 5.

Direct Products 7. Symmetric Groups 9.

Equivalence Relations; Cosets 10. Counting the Elements of a Finite Group 11. Normal Subgroups 12. Homomorphisms 13.

Homomorphisms and Normal Subgroups 14. Direct Products and Finite Abelian Groups 15. Sylow Theorems 16.

Subrings, Ideals, and Quotient Rings 18. Ring Homomorphisms 19. Polynomials 20. From Polynomials to Fields 21.

Unique Factorization Domains 22. Extensions of Fields 23. Constructions with Straightedge and Compass 24. Normal and Separable Extensions 25.

Galois Theory 26.