Thematic Development The Core Course (Chapters 1–8) is organized around two themes: Arithmetic and Congruence
Congruence The Congruence theme is strongly emphasized hi the development of
quotient rings and quotient groups. Consequently,
dents can see more clearly that
ideals, normal subgroups, quotient rings, and quotient groups are simply an extension
of familiar concepts in the integers, rather than an unmotivated mystery.
Coverage The breadth of coverage in this edition is substantially the same as in
the preceding ones, with one minor exception.
Useful Appendices These contain prerequisite material (e.g., logic, proof, sets,
functions, and induction) and optional material that some instructors may wish to
introduce (e.g., equivalence relations and the Binomial Theorem).
Endpapers The endpapers now provide a useful catalog of symbols and
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