Lucid coverage of the major theories of abstract algebra, with helpful illustrations and exercises included throughout. Unabridged, corrected republication of the work originally published 1971. Bibliography. Index. Includes 24 tables and figures.

Foreword; Introduction
I. Set Theory
1-9. The notation and terminology of set theory
10-16. Mappings
17-19. Equivalence relations
20-25. Properties of natural numbers
II. Group Theory
26-29. Definition of group structure
30-34. Examples of group structure
35-44. Subgroups and cosets
45-52. Conjugacy, normal subgroups, and quotient groups
53-59. The Sylow theorems
60-70. Group homomorphism and isomorphism
71-75. Normal and composition series
76-86. The Symmetric groups
III. Field Theory
87-89. Definition and examples of field structure
90-95. Vector spaces, bases, and dimension
96-97. Extension fields
98-107. Polynomials
108-114. Algebraic extensions
115-121. Constructions with straightedge and compass
IV. Galois Theory
122-126. Automorphisms
127-138. Galois extensions
139-149. Solvability of equations by radicals
V. Ring Theory
150-156. Definition and examples of ring structure
157-168. Ideals
169-175. Unique factorization
VI. Classical Ideal Theory
176-179. Fields of fractions
180-187. Dedekind domains
188-191. Integral extensions
192-198. Algebraic integers
Bibliography; Index