Title: Great Book for Undergraduates
Product review: This book is highly accessible to undergraduate students with a firm background in rigorous proofs. However, I think that it is rediculous to think that advanced high school students could study advanced mathematics and come away with anything but confusion. Advanced mathematics should include rigorous proofs, and never have I seen a high school mathematics student capable of understanding the logical and structural necessities demanded by rigorous proofs in mathematics. The actual subject of abstract algebra may be accessible to highly advanced students, but the reasoning behind the ideas, their utility, and the rigorous proofs that should accompany any study of advanced mathematics will be nothing but a blur.
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