A First Course in Abstract Algebra: With Applications

Renting vs. Buying This Textbook

Renting is usually cheapest if you only need the book for one term: you return it with a free prepaid label when the term ends. Buying used can beat renting when the sell-back price is high, so compare the sell-back price with the rental price before you decide. An eTextbook arrives instantly but usually expires. Rentals and used copies rarely include working access codes.

Always match the ISBN on your syllabus (9780131862678) before you order; different editions have different ISBNs.

About This Book

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 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.…