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Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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Abstract algebra

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Abstract algebra is the study of general algebraic structures, such as groups, rings, fields, and vector spaces. While there is little risk of confusion, mathematicians use the word algebra to describe this study, and only use the term abstract algebra to distinguish from elementary algebra.

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Want to learn how to tackle those tough MATHCOUNTS and AMC counting and probability problems? Check out Art of Problem Solving's Introduction to Counting & Probability by David Patrick.
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