Considered a classic by many, A First Course in Abstract Algebra 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.
(*) Not required for the remainder of the text. (**) This section is required only for Chapters 17 and 36.).
0. Sets and Relations.
I. GROUPS AND SUBGROUPS.
II. PERMUTATIONS, COSETS, AND DIRECT PRODUCTS.
III. HOMOMORPHISMS AND FACTOR GROUPS.
IV. RINGS AND FIELDS.
V. IDEALS AND FACTOR RINGS.
VI. EXTENSION FIELDS.
VII. ADVANCED GROUP THEORY.
VIII. *GROUPS IN TOPOLOGY.
X. AUTOMORPHISMS AND GALOIS THEORY.
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