In one exceptional volume, Abstract Algebra covers subject matter
typically taught over the course of two or three years and offers a
self-contained presentation, detailed definitions, and excellent
chapter-matched exercises to smooth the trajectory of learning
algebra from zero to one. Field-tested through advance use in the
ERASMUS educational project in Europe, this ambitious,
comprehensive book includes an original treatment of representation
of finite groups that avoids the use of semisimple ring theory and
explains sets, maps, posets, lattices, and other essentials of the
algebraic language; Peano's axioms and cardinality; groupoids,
semigroups, monoids, groups; and normal subgroups.
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