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Number Theory. Creator: Titu Andreescu. Sections on mathematical induction and…

Originally published in 1999, Connell's Elements of Abstract and Linear Algebra focuses on abstract algebra emphasizing linear algebra. Subjects include foundational mathematics (such as sets, cartesian products, Hausdorff maximality principle, etc.), groups (scalar multiplication, subgroups, cosets, quotient groups, permutations, etc.), rings (units, domains, fields, integers mod n, quotient rings, the Chinese remainder theorem, etc), matrices and matrix rings, and linear algebraic…

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In this article we shall consider how to solve problems such as Find all integers that leave ...