Introduction to the Theory of Groups of Finite Order by Robert D. Carmichael

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This handy book explains for you the theory of groups and examines fundamental theorems and their application. Beginning with discussions of sets, systems, groups, permutations, isomorphism, and similar topics, the author progresses in easy stages through the important types of groups. Except for a single chapter when an understanding of theory of matrices is helpful, no knowledge of high mathematics is necessary for the reader to follow the author's presentation. Connections are established by Professor Carmichael between the theory of finite groups and other domains of classical and modern mathematics. 

New York: Dover, 1956 [Reprint]. xiv, 447 pp.
Softcover. Very good.