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The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories (Dover Books on Mathematics) Paperback – November 11, 2002
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Given, the above scope, it moves quickly, but should be completely comprehensible to anyone with a strong High School math background, as long as the student reads slowly and carefully. The advantage of the compression is that it is possible to see the whole field and its connections without getting mired in the details.
Fantastic for a broad overview of algebra, prior to studying in more detail (or afterwards, to see how it all fits together). Don't be put off by the age of the book and, for the money, unbeatable.